2024 Vol. 48, No. 8
Display Method: |
			            2024, 48(8): 081001. doi: 10.1088/1674-1137/ad53b6 
	   					
		        	
			        
		            	
		        
					Abstract: 
We explored a new approach to search for a low-mass\begin{document}$ Z^{\prime} $\end{document} ![]()
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\begin{document}$ J/\psi $\end{document} ![]()
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\begin{document}$ \Lambda\overline{\Sigma}^{0} $\end{document} ![]()
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\begin{document}$ \overline{\Lambda}\Sigma^{0} $\end{document} ![]()
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\begin{document}$ Z^{\prime} $\end{document} ![]()
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\begin{document}$ \alpha_{\text{NP}} $\end{document} ![]()
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\begin{document}$ \alpha_{\text{NP}} $\end{document} ![]()
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\begin{document}$ Z^{\prime}-q-q $\end{document} ![]()
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\begin{document}$ 10^{-2} $\end{document} ![]()
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			We explored a new approach to search for a low-mass
			            2024, 48(8): 083001. doi: 10.1088/1674-1137/ad3d4d 
	   					
		        	
			        
		            	
		        
					Abstract: 
Using\begin{document}$ e^+e^- $\end{document} ![]()
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\begin{document}$ \rm fb^{-1} $\end{document} ![]()
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\begin{document}$ \sqrt{s}=3.773 $\end{document} ![]()
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\begin{document}$ D^0\to\pi^+\pi^-\pi^+\pi^- $\end{document} ![]()
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\begin{document}$ D^0\to\pi^+\pi^-\pi^0\pi^0 $\end{document} ![]()
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\begin{document}$ D^{0}\to a_{1}(1260)\pi $\end{document} ![]()
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\begin{document}$ D^{0}\to\pi(1300)\pi $\end{document} ![]()
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\begin{document}$ D^{0}\to\rho(770)\rho(770) $\end{document} ![]()
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\begin{document}$ D^{0}\to2(\pi\pi)_{S} $\end{document} ![]()
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\begin{document}$ CP $\end{document} ![]()
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\begin{document}$ D^0\to \pi^+\pi^-\pi^+\pi^- $\end{document} ![]()
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\begin{document}$ D^0\to\pi^+\pi^-\pi^0\pi^0 $\end{document} ![]()
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\begin{document}$ (75.2\; \pm\; 1.1_{\rm stat.}\; \pm\; 1.5_{\rm syst.})\ $\end{document} ![]()
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\begin{document}$(68.9\; \pm\; 1.5_{\rm stat.}\; \pm\; 2.4_{\rm syst.})$\end{document} ![]()
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\begin{document}$ D^0\to \pi^+\pi^-\pi^+\pi^- $\end{document} ![]()
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\begin{document}$ D^0\to\pi^+\pi^-\pi^0\pi^0 $\end{document} ![]()
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\begin{document}$(0.688\; \pm\; 0.010_{\rm stat.}\; \pm\; 0.010_{\rm syst.})$\end{document} ![]()
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\begin{document}$(0.951\; \pm\; 0.025_{\rm stat.}\; \pm\; 0.021_{\rm syst.})$\end{document} ![]()
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\begin{document}$ D^0 \to 4\pi $\end{document} ![]()
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\begin{document}$ \gamma (\phi_{3}) $\end{document} ![]()
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\begin{document}$ B^{-}\to D K^{-} $\end{document} ![]()
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			Using
			            2024, 48(8): 083101. doi: 10.1088/1674-1137/ad446a 
	   					
		        	
			        
		            	
		        
					Abstract: 
We estimate the coupling constants and decay widths of the\begin{document}$S U(3)$\end{document} ![]()
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\begin{document}$ \Omega(2012) $\end{document} ![]()
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\begin{document}$S U(3)$\end{document} ![]()
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\begin{document}$ \Omega \to \Xi K $\end{document} ![]()
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\begin{document}$S U(3)$\end{document} ![]()
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\begin{document}$ \Omega(2012) $\end{document} ![]()
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			We estimate the coupling constants and decay widths of the
			            2024, 48(8): 083102. doi: 10.1088/1674-1137/ad39cf 
	   					
		        	
			        
		            	
		        
					Abstract: 
Gauge/gravity duality is used to study the properties of the doubly heavy baryon\begin{document}$ ({QQq}) $\end{document} ![]()
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\begin{document}${QQq} $\end{document} ![]()
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\begin{document}$ Q\bar{Q} $\end{document} ![]()
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\begin{document}$ {QQq} $\end{document} ![]()
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\begin{document}$ Q\bar{Q} $\end{document} ![]()
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\begin{document}${QQq} $\end{document} ![]()
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\begin{document}$ Q\bar{Q} $\end{document} ![]()
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\begin{document}$ {QQq} $\end{document} ![]()
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\begin{document}$ Q\bar{Q} $\end{document} ![]()
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\begin{document}$ Q\bar{Q} $\end{document} ![]()
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\begin{document}$ {QQq} $\end{document} ![]()
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			Gauge/gravity duality is used to study the properties of the doubly heavy baryon
			            2024, 48(8): 083103. doi: 10.1088/1674-1137/ad34bc 
	   					
		        	
			        
		            	
		        
					Abstract: 
Recently, the experimental measurements of the branching ratios and different polarization asymmetries for processes occurring through flavor-changing-charged current\begin{document}$ (b\rightarrow  c\tau\overline{\nu}_{\tau}) $\end{document} ![]()
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\begin{document}$ B_{c}\to\tau\bar{\nu}_{\tau} $\end{document} ![]()
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\begin{document}$ R_{\tau/{\mu,e}}\left(D\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/{\mu,e}}\left(D^*\right) $\end{document} ![]()
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\begin{document}$ F_{L}\left(D^*\right) $\end{document} ![]()
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\begin{document}$ P_{\tau}\left(D^*\right) $\end{document} ![]()
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\begin{document}$ B_{c}\rightarrow \tau\bar{\nu}_{\tau} $\end{document} ![]()
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\begin{document}$ R_{\tau/\mu}\left(J/\psi\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/\ell}\left(\Lambda_c\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/\mu}\left(J/\psi\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/\ell}\left(X_c\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/{\mu,e}}\left(D\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/{\mu,e}}\left(D^*\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/{\mu,e}}\left(D^{(*)}\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/\ell}\left(\Lambda_c\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/\mu}\left(J/\psi\right) $\end{document} ![]()
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\begin{document}$ R_{\tau/\ell}\left(X_c\right) $\end{document} ![]()
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\begin{document}$ R_{D} $\end{document} ![]()
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\begin{document}$ R_{D^*} $\end{document} ![]()
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\begin{document}$ C_{L}^{S}=4C^{T} $\end{document} ![]()
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\begin{document}$ CP $\end{document} ![]()
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			Recently, the experimental measurements of the branching ratios and different polarization asymmetries for processes occurring through flavor-changing-charged current
			            2024, 48(8): 083104. doi: 10.1088/1674-1137/ad4af3 
	   					
		        	
			        
		            	
		        
					Abstract: 
The féeton is the gauge boson of the\begin{document}$ U(1)_{B-L} $\end{document} ![]()
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			The féeton is the gauge boson of the
			            2024, 48(8): 083105. doi: 10.1088/1674-1137/ad3d4c 
	   					
		        	
			        
		            	
		        
					Abstract: 
We present a lattice QCD determination of masses of the conjectured H-dibaryon, denoted as\begin{document}$ m_H $\end{document} ![]()
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\begin{document}$ T/T_c = $\end{document} ![]()
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\begin{document}$ N_f=2+1 $\end{document} ![]()
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\begin{document}$m_\pi=384(4)\; {{\rm{MeV}}}$\end{document} ![]()
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\begin{document}$ T/T_c =  $\end{document} ![]()
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\begin{document}$ T/T_c = 1.90 $\end{document} ![]()
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\begin{document}$ T/T_c =0.24 $\end{document} ![]()
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\begin{document}$ \Delta m = m_H - 2\,m_{\Lambda} $\end{document} ![]()
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\begin{document}$ \Delta m = -14.6(6.2)  $\end{document} ![]()
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			We present a lattice QCD determination of masses of the conjectured H-dibaryon, denoted as
			            2024, 48(8): 083106. doi: 10.1088/1674-1137/ad2b54 
	   					
		        	
			        
		            	
		        
					Abstract: 
The Nambu–Jona-Lasinio model is utilized to investigate the pion- and kaon-photon leading-twist transition distribution amplitudes using proper time regularization. Separately, the properties of the vector and axial vector pion-photon transition distribution amplitudes are examined, and the results meet the desired properties. Our study involves sum rule and polynomiality condition. The vector and axial vector pion-photon transition form factors that are present in the\begin{document}$ \pi^+\rightarrow  \gamma e^+ \nu $\end{document} ![]()
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\begin{document}$ F_{\pi \gamma \gamma}(t) $\end{document} ![]()
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\begin{document}$ \pi - \gamma  $\end{document} ![]()
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\begin{document}$ \gamma - \pi $\end{document} ![]()
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			The Nambu–Jona-Lasinio model is utilized to investigate the pion- and kaon-photon leading-twist transition distribution amplitudes using proper time regularization. Separately, the properties of the vector and axial vector pion-photon transition distribution amplitudes are examined, and the results meet the desired properties. Our study involves sum rule and polynomiality condition. The vector and axial vector pion-photon transition form factors that are present in the
			            2024, 48(8): 083107. doi: 10.1088/1674-1137/ad408f 
	   					
		        	
			        
		            	
		        
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Within the framework of nonrelativistic-QCD factorization, we calculate both the next-to-leading-order relativistic and QCD corrections to prompt\begin{document}$ J/\psi $\end{document} ![]()
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\begin{document}$ \psi(2S) $\end{document} ![]()
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\begin{document}$ e^+e^- $\end{document} ![]()
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\begin{document}$ J/\psi $\end{document} ![]()
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\begin{document}$ J/\psi $\end{document} ![]()
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			Within the framework of nonrelativistic-QCD factorization, we calculate both the next-to-leading-order relativistic and QCD corrections to prompt
			            2024, 48(8): 083108. doi: 10.1088/1674-1137/ad4e24 
	   					
		        	
			        
		            	
		        
					Abstract: 
We study the mass and scattering cross section of\begin{document}$S U(2)$\end{document} ![]()
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\begin{document}$S U(2)$\end{document} ![]()
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\begin{document}$ 3+1 $\end{document} ![]()
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\begin{document}$ J^{PC}=0^{++} $\end{document} ![]()
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\begin{document}$ \beta=2.2 $\end{document} ![]()
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			We study the mass and scattering cross section of
			            2024, 48(8): 083109. doi: 10.1088/1674-1137/ad4afa 
	   					
		        	
			        
		            	
		        
					Abstract: 
The similar densities of dark matter and baryons in the universe imply that they may arise from the same ultraviolet model. B-Mesogenesis, which assumes dark matter is charged under the baryon number, attempts to simultaneously explain the origin of baryon asymmetry and dark matter in the universe. In particular, B-Mesogenesis may induce bottom-baryon decays into invisible or semi-invisible final states, which provide a distinctive signal for probing this scenario. In this work, we systematically study the invisible decays of bottom baryons into dark matter and the semi-invisible decays of bottom baryons into a meson or a photon together with a dark matter particle. In particular, the fully invisible decay can reveal the stable particles in B-Mesogenesis. Some QCD-based frameworks are used to calculate the hadronic matrix elements under the B-Mesogenesis model. We estimate the constraints on the Wilson coefficients or the product of some new physics couplings with the Wilson coefficients according to the semi-invisible and invisible decays of bottom baryons detectable at future colliders.
		       
		        
		        
		        
			  
			The similar densities of dark matter and baryons in the universe imply that they may arise from the same ultraviolet model. B-Mesogenesis, which assumes dark matter is charged under the baryon number, attempts to simultaneously explain the origin of baryon asymmetry and dark matter in the universe. In particular, B-Mesogenesis may induce bottom-baryon decays into invisible or semi-invisible final states, which provide a distinctive signal for probing this scenario. In this work, we systematically study the invisible decays of bottom baryons into dark matter and the semi-invisible decays of bottom baryons into a meson or a photon together with a dark matter particle. In particular, the fully invisible decay can reveal the stable particles in B-Mesogenesis. Some QCD-based frameworks are used to calculate the hadronic matrix elements under the B-Mesogenesis model. We estimate the constraints on the Wilson coefficients or the product of some new physics couplings with the Wilson coefficients according to the semi-invisible and invisible decays of bottom baryons detectable at future colliders.
			            2024, 48(8): 084001. doi: 10.1088/1674-1137/ad4c5b 
	   					
		        	
			        
		            	
		        
					Abstract: 
The neutron total cross section data of 9Be are essential in the nuclear structure model research of light nuclei and nuclear power installations. The neutron total cross section of 9Be in the 0.3 eV−120 MeV energy region has been measured using time-of-flight and transmission methods with the Neutron Total Cross Sectional Spectrometer (NTOX) based on the multi-cell fast fission chamber at the China Spallation Neutron Source (CSNS)-Back-n white neutron source (Back-n). The fission count-neutron energy distributions of 235U and 238U without samples and with Be samples with three thicknesses were measured in the double-bunch operation mode for a beam power of 100 kW. The Bayesian method was used to eliminate the influence of the double-bunch problem on neutron measurement in the energy region above 10 keV. The neutron total cross section of 9Be results was consistent with ENDF/B-VIII.0 evaluation library data in the 0.3 eV−20 MeV energy region. In the energy ranges of 0.3 eV to 10 keV and 0.01 to 20 MeV, the deviations between our results and the evaluation results of ENDF/B-VIII.0 were within 2.5% and 15%, respectively. In the resonance energy region, the measured resonance energies in our experiment were 0.63, 0.82, and 2.8 MeV, respectively. The results showed that the total cross section uncertainties of three Be samples were within 2.2% in the energy region below 1 MeV. The total cross section uncertainty of 30 mm Be from 235U was the smallest and less than 5% in the energy region of 0.3 eV−120 MeV. The results of this experiment can provide technical support for further data analysis and related nuclear data evaluation.
		       
		        
		        
		        
			  
			The neutron total cross section data of 9Be are essential in the nuclear structure model research of light nuclei and nuclear power installations. The neutron total cross section of 9Be in the 0.3 eV−120 MeV energy region has been measured using time-of-flight and transmission methods with the Neutron Total Cross Sectional Spectrometer (NTOX) based on the multi-cell fast fission chamber at the China Spallation Neutron Source (CSNS)-Back-n white neutron source (Back-n). The fission count-neutron energy distributions of 235U and 238U without samples and with Be samples with three thicknesses were measured in the double-bunch operation mode for a beam power of 100 kW. The Bayesian method was used to eliminate the influence of the double-bunch problem on neutron measurement in the energy region above 10 keV. The neutron total cross section of 9Be results was consistent with ENDF/B-VIII.0 evaluation library data in the 0.3 eV−20 MeV energy region. In the energy ranges of 0.3 eV to 10 keV and 0.01 to 20 MeV, the deviations between our results and the evaluation results of ENDF/B-VIII.0 were within 2.5% and 15%, respectively. In the resonance energy region, the measured resonance energies in our experiment were 0.63, 0.82, and 2.8 MeV, respectively. The results showed that the total cross section uncertainties of three Be samples were within 2.2% in the energy region below 1 MeV. The total cross section uncertainty of 30 mm Be from 235U was the smallest and less than 5% in the energy region of 0.3 eV−120 MeV. The results of this experiment can provide technical support for further data analysis and related nuclear data evaluation.
			            2024, 48(8): 084101. doi: 10.1088/1674-1137/ad4855 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we calculated the inclusive charged-current neutrino-nucleus scattering from 40Ar in the quasielastic region. To explore the effect of uncertainties stemming from the nuclear structure, we used the KIDS (Korea-IBS-Daegu-SKKU) nuclear energy density functional and Skyrme force models, namely SLy4, SkI3, and MSk7. These models were selected to have distinct behavior in terms of the density dependence of the symmetry energy and the effective mass of the nucleon. In the charged-current neutrino scattering, the single- and double-differential cross sections were calculated for various kinematics. Total cross sections are reported as a function of the incident neutrino energy. The theoretical cross sections were compared with experimental data, and the roles of the effective mass and symmetry energy were investigated in terms of charged-current neutrino-nucleus scattering.
		       
		        
		        
		        
			  
			In this study, we calculated the inclusive charged-current neutrino-nucleus scattering from 40Ar in the quasielastic region. To explore the effect of uncertainties stemming from the nuclear structure, we used the KIDS (Korea-IBS-Daegu-SKKU) nuclear energy density functional and Skyrme force models, namely SLy4, SkI3, and MSk7. These models were selected to have distinct behavior in terms of the density dependence of the symmetry energy and the effective mass of the nucleon. In the charged-current neutrino scattering, the single- and double-differential cross sections were calculated for various kinematics. Total cross sections are reported as a function of the incident neutrino energy. The theoretical cross sections were compared with experimental data, and the roles of the effective mass and symmetry energy were investigated in terms of charged-current neutrino-nucleus scattering.
			            2024, 48(8): 084102. doi: 10.1088/1674-1137/ad485c 
	   					
		        	
			        
		            	
		        
					Abstract: 
Fission fragments yields and average total kinetic energy are fundamental nuclear data for nuclear energy applications and the study of nuclear devices. Certain fission products, such as 95Zr, 99Mo, 140Ba, 144Ce, and 147Nd, serve as burnup monitors, assessing the number of fissions induced by neutrons on 235U. However, current experimental data for these fission products worldwide are inconsistent, introducing significant uncertainty into related scientific research. In this study, we employed the Potential-driving Model to calculate the independent yields of 235U and evaluate its advantages in such calculations. Additionally, we investigated the energy dependence of independent yields to select important products. Furthermore, we calculated the cumulative yields of 95Zr, 99Mo, 140Ba, 144Ce, and 147Nd, and compared them with existing literature data to explore the energy dependence of fission products for 235U. Given the lack of fission product yield data above 14.8 MeV, we extended our calculated incident neutron energy to 20 MeV, aiming to support future scientific research. The Geant4 physical model does not consider the influence of incident neutron energy on the average total kinetic energy of fission fragments; thus, we introduced the excitation function of the total kinetic energy of fission fragments recommended by Madland et al., which effectively describes the experimental data of the average total kinetic energy of fragments formed in 235U fission. In this paper, we comprehensively discuss the energy dependence of fission product yields and average total kinetic energy.
		       
		        
		        
		        
			  
			Fission fragments yields and average total kinetic energy are fundamental nuclear data for nuclear energy applications and the study of nuclear devices. Certain fission products, such as 95Zr, 99Mo, 140Ba, 144Ce, and 147Nd, serve as burnup monitors, assessing the number of fissions induced by neutrons on 235U. However, current experimental data for these fission products worldwide are inconsistent, introducing significant uncertainty into related scientific research. In this study, we employed the Potential-driving Model to calculate the independent yields of 235U and evaluate its advantages in such calculations. Additionally, we investigated the energy dependence of independent yields to select important products. Furthermore, we calculated the cumulative yields of 95Zr, 99Mo, 140Ba, 144Ce, and 147Nd, and compared them with existing literature data to explore the energy dependence of fission products for 235U. Given the lack of fission product yield data above 14.8 MeV, we extended our calculated incident neutron energy to 20 MeV, aiming to support future scientific research. The Geant4 physical model does not consider the influence of incident neutron energy on the average total kinetic energy of fission fragments; thus, we introduced the excitation function of the total kinetic energy of fission fragments recommended by Madland et al., which effectively describes the experimental data of the average total kinetic energy of fragments formed in 235U fission. In this paper, we comprehensively discuss the energy dependence of fission product yields and average total kinetic energy.
			            2024, 48(8): 084103. doi: 10.1088/1674-1137/ad4c5d 
	   					
		        	
			        
		            	
		        
					Abstract: 
The chiral magnetic wave (CMW) is a collective mode in quark-gluon plasma originated from the chiral magnetic effect (CME) and chiral separation effect. Its detection in heavy-ion collisions is challenging owing to significant background contamination. In [Y. S. Zhao et al., Phys. Rev. C 106, L051901 (2022)], we constructed a neural network that accurately identifies the CME-related signal from the final-state pion spectra. In this study, we have generalized this neural network to the case of CMW search. We show that, after an updated training, the neural network effectively recognizes the CMW-related signal. Additionally, we have assessed the performance of the neural network in comparison with other known methods for CMW search.
		       
		        
		        
		        
			  
			The chiral magnetic wave (CMW) is a collective mode in quark-gluon plasma originated from the chiral magnetic effect (CME) and chiral separation effect. Its detection in heavy-ion collisions is challenging owing to significant background contamination. In [Y. S. Zhao et al., Phys. Rev. C 106, L051901 (2022)], we constructed a neural network that accurately identifies the CME-related signal from the final-state pion spectra. In this study, we have generalized this neural network to the case of CMW search. We show that, after an updated training, the neural network effectively recognizes the CMW-related signal. Additionally, we have assessed the performance of the neural network in comparison with other known methods for CMW search.
			            2024, 48(8): 084104. doi: 10.1088/1674-1137/ad47a8 
	   					
		        	
			        
		            	
		        
					Abstract: 
A correlation between the charge radii difference of mirror partner nuclei\begin{document}$ \Delta{R_{\mathrm{ch}}} $\end{document} ![]()
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\begin{document}$ \Delta{R_{\mathrm{ch}}} $\end{document} ![]()
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\begin{document}$ \Delta{R_{\mathrm{ch}}} $\end{document} ![]()
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\begin{document}$ L=42.57 $\end{document} ![]()
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\begin{document}$ 50.64 $\end{document} ![]()
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			A correlation between the charge radii difference of mirror partner nuclei
			            2024, 48(8): 084105. doi: 10.1088/1674-1137/ad47a7 
	   					
		        	
			        
		            	
		        
					Abstract: 
Nuclear level density (NLD) is a critical parameter for understanding nuclear reactions and the structure of atomic nuclei; however, accurate estimation of NLD is challenging owing to limitations inherent in both experimental measurements and theoretical models. This paper presents a sophisticated approach using Bayesian neural networks (BNNs) to analyze NLD across a wide range of models. It uniquely incorporates the assessment of model uncertainties. The application of BNNs demonstrates remarkable success in accurately predicting NLD values when compared to recent experimental data, confirming the effectiveness of our methodology. The reliability and predictive power of the BNN approach not only validates its current application but also encourages its integration into future analyses of nuclear reaction cross sections.
		       
		        
		        
		        
			  
			Nuclear level density (NLD) is a critical parameter for understanding nuclear reactions and the structure of atomic nuclei; however, accurate estimation of NLD is challenging owing to limitations inherent in both experimental measurements and theoretical models. This paper presents a sophisticated approach using Bayesian neural networks (BNNs) to analyze NLD across a wide range of models. It uniquely incorporates the assessment of model uncertainties. The application of BNNs demonstrates remarkable success in accurately predicting NLD values when compared to recent experimental data, confirming the effectiveness of our methodology. The reliability and predictive power of the BNN approach not only validates its current application but also encourages its integration into future analyses of nuclear reaction cross sections.
			            2024, 48(8): 084106. doi: 10.1088/1674-1137/ad4c59 
	   					
		        	
			        
		            	
		        
					Abstract: 
Heavy flavor particles provide important probes of the microscopic structure and thermodynamic properties of the quark-gluon plasma (QGP) produced in high-energy nucleus-nucleus collisions. We studied the energy loss and flow of charm and bottom quarks inside the QGP via the nuclear modification factor (\begin{document}$R_{AA}$\end{document} ![]()
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\begin{document}$ v_2 $\end{document} ![]()
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\begin{document}$R_{AA}$\end{document} ![]()
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\begin{document}$ v_2 $\end{document} ![]()
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			Heavy flavor particles provide important probes of the microscopic structure and thermodynamic properties of the quark-gluon plasma (QGP) produced in high-energy nucleus-nucleus collisions. We studied the energy loss and flow of charm and bottom quarks inside the QGP via the nuclear modification factor (
			            2024, 48(8): 085101. doi: 10.1088/1674-1137/ad47a9 
	   					
		        	
			        
		            	
		        
					Abstract: 
We investigate a class of gravity theories respecting only spatial covariance, termed spatially covariant gravity, in the presence of an auxiliary scalar field. We examine the conditions on the Lagrangian required to eliminate scalar degrees of freedom, allowing only two tensorial degrees of freedom to propagate. Instead of strict constraint analysis, in this paper, we employ the perturbation method and focus on the necessary conditions to evade the scalar mode at the linear order in perturbations around a cosmological background. Beginning with a general action and solving the auxiliary perturbation variables in terms of a would-be dynamical scalar mode, we derive the condition to remove its kinetic term, thus ensuring that no scalar mode propagates. As an application of the general condition, we study a polynomial-type Lagrangian as a concrete example, in which all monomials are spatially covariant scalars containing two derivatives. We find that the auxiliary scalar field is essential, and new terms in the Lagrangian are allowed. Our analysis provides insights into constructing gravity theories with two degrees of freedom in the extended framework of spatially covariant gravity.
		       
		        
		        
			  
			We investigate a class of gravity theories respecting only spatial covariance, termed spatially covariant gravity, in the presence of an auxiliary scalar field. We examine the conditions on the Lagrangian required to eliminate scalar degrees of freedom, allowing only two tensorial degrees of freedom to propagate. Instead of strict constraint analysis, in this paper, we employ the perturbation method and focus on the necessary conditions to evade the scalar mode at the linear order in perturbations around a cosmological background. Beginning with a general action and solving the auxiliary perturbation variables in terms of a would-be dynamical scalar mode, we derive the condition to remove its kinetic term, thus ensuring that no scalar mode propagates. As an application of the general condition, we study a polynomial-type Lagrangian as a concrete example, in which all monomials are spatially covariant scalars containing two derivatives. We find that the auxiliary scalar field is essential, and new terms in the Lagrangian are allowed. Our analysis provides insights into constructing gravity theories with two degrees of freedom in the extended framework of spatially covariant gravity.
			            2024, 48(8): 085102. doi: 10.1088/1674-1137/ad2a61 
	   					
		        	
			        
		            	
		        
					Abstract: 
We study wave equations with various spins on the background of a general spherically symmetric spacetime. We obtain the unified expression of the Teukolsky-like master equations and the corresponding radial equations with the general spins. We also discuss the gauge dependence in the gravitational-wave equations, which have appeared in previous studies.
		       
		        
		        
			  
			We study wave equations with various spins on the background of a general spherically symmetric spacetime. We obtain the unified expression of the Teukolsky-like master equations and the corresponding radial equations with the general spins. We also discuss the gauge dependence in the gravitational-wave equations, which have appeared in previous studies.
			            2024, 48(8): 085103. doi: 10.1088/1674-1137/ad4018 
	   					
		        	
			        
		            	
		        
					Abstract: 
The periapsis shift of charged test particles in arbitrary static and spherically symmetric charged spacetimes are studied. Two perturbative methods, the near-circular approximation and post-Newtonian methods, are developed and shown to be very accurate when the results are determined to high orders. The near-circular approximation method is more precise when eccentricity e of the orbit is small, whereas the post-Newtonian method is more effective when orbit semilatus rectum p is large. Results from these two methods are shown to agree when both e is small and p is large. These results are then applied to the Reissner-Nordström spacetime, the Einstein-Maxwell-dilation gravity, and a charged wormhole spacetime. The effects of various parameters on the periapsis shift, particularly that of the electrostatic interaction, are carefully studied. The periapsis shift data of the solar-Mercury are then used to constrain the charges of the Sun and Mercury, and the data of the Sgr A*-S2 periapsis shift are used to determine, for the first time using this method, the constraints of the charges of Sgr A* and S2.
		       
		        
		        
		        
			  
			The periapsis shift of charged test particles in arbitrary static and spherically symmetric charged spacetimes are studied. Two perturbative methods, the near-circular approximation and post-Newtonian methods, are developed and shown to be very accurate when the results are determined to high orders. The near-circular approximation method is more precise when eccentricity e of the orbit is small, whereas the post-Newtonian method is more effective when orbit semilatus rectum p is large. Results from these two methods are shown to agree when both e is small and p is large. These results are then applied to the Reissner-Nordström spacetime, the Einstein-Maxwell-dilation gravity, and a charged wormhole spacetime. The effects of various parameters on the periapsis shift, particularly that of the electrostatic interaction, are carefully studied. The periapsis shift data of the solar-Mercury are then used to constrain the charges of the Sun and Mercury, and the data of the Sgr A*-S2 periapsis shift are used to determine, for the first time using this method, the constraints of the charges of Sgr A* and S2.
			            2024, 48(8): 085104. doi: 10.1088/1674-1137/ad4e25 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we investigate the novel phenomenon of gravitational lensing experienced by gravitational waves traveling past a Schwarzschild black hole perturbed by a specific, first-order, polar gravitational wave. We apply the Gauss-Bonnet theorem, finding a topological contribution to the deflection of light rays passing near the black hole. We demonstrate that the deflection angle can be determined by analyzing a region entirely outside the path of the light ray, leading to a calculation based solely on the parameters of the perturbing wave (Legendre polynomial order, l; frequency, σ). This approach offers a unique perspective on gravitational lensing and expands our understanding of black hole interactions with gravitational waves.
		       
		        
		        In this study, we investigate the novel phenomenon of gravitational lensing experienced by gravitational waves traveling past a Schwarzschild black hole perturbed by a specific, first-order, polar gravitational wave. We apply the Gauss-Bonnet theorem, finding a topological contribution to the deflection of light rays passing near the black hole. We demonstrate that the deflection angle can be determined by analyzing a region entirely outside the path of the light ray, leading to a calculation based solely on the parameters of the perturbing wave (Legendre polynomial order, l; frequency, σ). This approach offers a unique perspective on gravitational lensing and expands our understanding of black hole interactions with gravitational waves.
			            2024, 48(8): 085105. doi: 10.1088/1674-1137/ad4af4 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we comprehensively investigated charged AdS black holes surrounded by a distinct form of dark matter. In particular, we focused on key elements including the Hawking temperature, quasi-normal modes (QNMs), emission rate, and shadow. We first calculated the Hawking temperature, thereby identifying critical values such as the critical radius and maximum temperature of the black hole, essential for determining its phase transition. Further analysis focused on the QNMs of charged AdS black holes immersed in perfect fluid dark matter (PFDM) within the massless scalar field paradigm. Employing the Wentzel-Kramers-Brillouin (WKB) method, we accurately derived the frequencies of these QNMs. Additionally, we conducted a meticulous assessment of how the intensity of the PFDM parameter α influences the partial absorption cross sections of the black hole, along with a detailed study of the frequency variation of the energy emission rate. The pivotal role of geodesics in understanding astrophysical black hole characteristics is highlighted. Specifically, we examined the influence of the dark matter parameter on photon evolution by computing the shadow radius of the black hole. Our findings distinctly demonstrate the significant impact of the PFDM parameter α on the boundaries of this shadow, providing crucial insights into its features and interactions. We also provide profound insights into the intricate dynamics between a charged AdS black hole, novel dark matter, and various physical phenomena, elucidating their interplay and contributing valuable knowledge to the understanding of these cosmic entities.
		       
		        
		        
		        
			  
			In this study, we comprehensively investigated charged AdS black holes surrounded by a distinct form of dark matter. In particular, we focused on key elements including the Hawking temperature, quasi-normal modes (QNMs), emission rate, and shadow. We first calculated the Hawking temperature, thereby identifying critical values such as the critical radius and maximum temperature of the black hole, essential for determining its phase transition. Further analysis focused on the QNMs of charged AdS black holes immersed in perfect fluid dark matter (PFDM) within the massless scalar field paradigm. Employing the Wentzel-Kramers-Brillouin (WKB) method, we accurately derived the frequencies of these QNMs. Additionally, we conducted a meticulous assessment of how the intensity of the PFDM parameter α influences the partial absorption cross sections of the black hole, along with a detailed study of the frequency variation of the energy emission rate. The pivotal role of geodesics in understanding astrophysical black hole characteristics is highlighted. Specifically, we examined the influence of the dark matter parameter on photon evolution by computing the shadow radius of the black hole. Our findings distinctly demonstrate the significant impact of the PFDM parameter α on the boundaries of this shadow, providing crucial insights into its features and interactions. We also provide profound insights into the intricate dynamics between a charged AdS black hole, novel dark matter, and various physical phenomena, elucidating their interplay and contributing valuable knowledge to the understanding of these cosmic entities.
			            2024, 48(8): 085106. doi: 10.1088/1674-1137/ad432b 
	   					
		        	
			        
		            	
		        
					Abstract: 
In a recent work by Fernandes [Phys. Rev. D 108(6), L061502 (2023)], an exact stationary and axisymmetric solution was discovered in semiclassical gravity with type-A trace anomaly. This was identified as a quantum-corrected version of the Kerr black hole. In this study, we explore the observational signatures of this black hole solution. Our investigation reveals that prograde and retrograde light rings exist, whose radii increase monotonically with the coupling parameter α. When α is negative, the shadow area for the quantum-corrected black hole is smaller than that of the Kerr black hole, whereas when α is positive, the area is larger. For a near-extremal black hole, its high-spin feature (the NHEKline) is found to be highly susceptible to disruption by α. Furthermore, we discuss the images of the quantum-corrected black hole in the presence of a thin accretion disk and compare them to those of the Kerr black hole. Our study highlights the importance of near-horizon emission sources in detecting the effects of quantum corrections by black hole images.
		       
		        
		        
		        
			  
			In a recent work by Fernandes [Phys. Rev. D 108(6), L061502 (2023)], an exact stationary and axisymmetric solution was discovered in semiclassical gravity with type-A trace anomaly. This was identified as a quantum-corrected version of the Kerr black hole. In this study, we explore the observational signatures of this black hole solution. Our investigation reveals that prograde and retrograde light rings exist, whose radii increase monotonically with the coupling parameter α. When α is negative, the shadow area for the quantum-corrected black hole is smaller than that of the Kerr black hole, whereas when α is positive, the area is larger. For a near-extremal black hole, its high-spin feature (the NHEKline) is found to be highly susceptible to disruption by α. Furthermore, we discuss the images of the quantum-corrected black hole in the presence of a thin accretion disk and compare them to those of the Kerr black hole. Our study highlights the importance of near-horizon emission sources in detecting the effects of quantum corrections by black hole images.
			            2024, 48(8): 085107. doi: 10.1088/1674-1137/ad4c5c 
	   					
		        	
			        
		            	
		        
					Abstract: 
The in-ice or in-water Cherenkov neutrino telescope, such as IceCube, has already proved its power in measuring the Glashow resonance by searching for the bump around\begin{document}$ E^{}_{\rm \nu} = 6.3\; {\rm PeV} $\end{document} ![]()
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			The in-ice or in-water Cherenkov neutrino telescope, such as IceCube, has already proved its power in measuring the Glashow resonance by searching for the bump around
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