Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium

Luo Zhenfei; Qiu Xijun

Chinese Physics C> 1991, Vol. 15> Issue(S4) : 427-429

Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium

Luo Zhenfei ,
Qiu Xijun

Institute of Nuclear Research, Chinese Academy of Sciences. Shanghai, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The Feynman-Hellmann theorem widely used in nonrelativistic quantum mechanics is applied to relativistic two-body wave equations to deduce the meson mass formulae. It is shown that the wave equations considered in this paper are unable to describe the short-range interaction of quarkonium reasonably.

[1]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[2]	M.A. Matveev , A.T. Sitnikov , A.V. Sarantsev . Tensor formalism for the partial wave analysis of reactions with resonances decaying into four pseudoscalar mesons. Chinese Physics C, 2026, 50(3): 1-12.
[3]	. Correlation between Zero-Sound modes and nuclear equation of state stiffness detected by light vector boson. Chinese Physics C, 2026, 50(1): 014101. doi: 10.1088/1674-1137/adfa81
[4]	Jing-Juan Qi , Zhen-Yang Wang , Zhu-Feng Zhang , Xin-Heng Guo . The properties of the S-wave D_sD_s bound state. Chinese Physics C, 2026, 50(2): 1-8. doi: 10.1088/1674-1137/ae1195
[5]	Wentao Zeng , Zehao Lin , Yiran Wang , Shuangquan Zhang , Jinniu Hu , Ying Zhang . Resonant states in the Schrödinger equation solved by the Green's function method. Chinese Physics C, 2026, 50(2): 1-10.
[6]	Yugen Lin , Yu Gao . Dark matter subhalo evaporation by Coulomb-like interaction with galactic gas. Chinese Physics C, 2026, 50(1): 015104. doi: 10.1088/1674-1137/ae07be
[7]	Tao-Feng Wang , Zi-Ming Li , Xiao-Ting Yang , Min-Liang Liu , Jian-Song Wang , Yan-Yun Yang , Zhi-Yu Sun , Cheng-Jian Lin , Qing-Hua He , Zhen Bai , Fang-Fang Duan , Zhi-Hao Gao , Song Guo , Yue Hu , Wei Jiang , F. Kobayashi , Chen-Gui Lu , Jun-Bing Ma , Peng Ma , Jian-Guo Wang , Xiang-Lun Wei , He-Run Yang , Yong-Jin Yao , Jun-Wei Zhang . Nuclear Medium Effects for Modifying Tensor Interaction. Chinese Physics C, 2026, 50(3): 1-6. doi: 10.1088/1674-1137/ae167d
[8]	Ze-Fang Jiang , Shuo-Yan Liu , Tian-Yu Hu , Huang-Jing Zheng , Duan She . 1+1 dimensional relativistic viscous non-resistive magnetohydrodynamics with longitudinal boost invariance. Chinese Physics C, 2025, 49(11): 114104. doi: 10.1088/1674-1137/ade6d4
[9]	Yiming Gao , Yoshiki K. Tanaka , Vasyl Drozd , Hiroyuki Ekawa , Samuel Escrig , Yan He , Ayumi Kasagi , Enqiang Liu , Manami Nakagawa , Christophe Rappold , Takehiko R. Saito , Ryohei Sekiya , He Wang , Ayari Yanai , Xiaohong Zhou . Feasibility study of measuring interaction cross sections of hypernuclei produced in projectile fragmentation reactions with WASA-FRS setup. Chinese Physics C, 2025, 49(12): 124003. doi: 10.1088/1674-1137/adf4b2
[10]	. SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays. Chinese Physics C, 2025, 49(12): 123101. doi: 10.1088/1674-1137/adf1f1
[11]	Wei-Xi Kong , Ben-Wei Zhang . Fox-Wolfram moment of jet production in relativistic heavy-ion collisions. Chinese Physics C, 2025, 49(9): 094101. doi: 10.1088/1674-1137/add5d8
[12]	Yu. M. Gledenov , I. Chuprakov , Guohui Zhang , G. Khuukhenkhuu , M. Odsuren , B. Usukhbayar , L. Krupa , E. Sansarbayar , Jie Liu , Haofan Bai , Cong Xia , Zepeng Wu , Wenkai Ren , D. Berikov , G. Ahmadov , A. K. Bekbayev , B. Mukhametuly , E. S. Korshikov , N. T. Temerbulatova , E. B. Myrzabekova , O. Daulbayev , Y. Arynbek . Cross section measurement of the ⁶Li(n,t)⁴He reaction in the MeV neutron energy range. Chinese Physics C, 2025, 49(12): 124004. doi: 10.1088/1674-1137/ae0306
[13]	Zhi-Lei Ma , Zhun Lu , Hao Liu , Li Zhang . Inelastic heavy quarkonium photoproduction in p-p and Pb-Pb collisions at LHC energies. Chinese Physics C, 2025, 49(10): 103103. doi: 10.1088/1674-1137/ade1ca
[14]	Jin-Yu Huo , Rui Chen . Exploring the two-body strong decay properties of the possible ${\boldsymbol\Lambda_{\boldsymbol c}\boldsymbol K^{}}$ and ${\boldsymbol\Sigma_{\boldsymbol c}\boldsymbol K^{()}}$ molecules. Chinese Physics C, 2025, 49(10): 103108. doi: 10.1088/1674-1137/adec4e
[15]	Tao Hong , Xiao-Song Yang , Zhi-Gang Wang . Two-body strong decays of the hidden-charm tetraquark molecular states via QCD sum rules. Chinese Physics C, 2025, 49(10): 103104. doi: 10.1088/1674-1137/add912
[16]	Jian Liu , Qiang Su , Qinglin Niu , Lei Wang , Zhongzhou Ren . Charged-current quasielastic neutrino scattering off nuclei with nucleon-nucleon short-range correlations. Chinese Physics C, 2025, 49(10): 104102. doi: 10.1088/1674-1137/ade126
[17]	ZHANG Cong , HE Yuan , ZHAO Hong-Wei , ZHANG Sheng-Hu . Multipacting simulation and analysis of a taper quarter wave cavity by using Analyst-PT3P. Chinese Physics C, 2012, 36(4): 362-366. doi: 10.1088/1674-1137/36/4/012
[18]	GUO Yan-Qing , SONG Jie . Quantitative conditions for the formation of p-wave neutron halos. Chinese Physics C, 2011, 35(2): 158-162. doi: 10.1088/1674-1137/35/2/010
[19]	YANG Hong-Xun (for the BESⅡ collaboration) . Partial wave analysis of J/ψ→ppπ⁰ and measurement of J/ψ→ppη, ppη´. Chinese Physics C, 2009, 33(12): 1331-1335. doi: 10.1088/1674-1137/33/12/048
[20]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

Luo Zhenfei and Qiu Xijun. Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium[J]. Chinese Physics C, 1991, 15(S4): 427-429.

Luo Zhenfei and Qiu Xijun. Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium[J]. Chinese Physics C, 1991, 15(S4): 427-429. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1991-04-01

Article Metric

Article Views(1014)
PDF Downloads(4)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Relativistic Two-Body Wave Equation and Short-range Interaction of Quarkonium

Luo Zhenfei
Qiu Xijun

Institute of Nuclear Research, Chinese Academy of Sciences. Shanghai, China

Received Date: 1991-04-01

Abstract: The Feynman-Hellmann theorem widely used in nonrelativistic quantum mechanics is applied to relativistic two-body wave equations to deduce the meson mass formulae. It is shown that the wave equations considered in this paper are unable to describe the short-range interaction of quarkonium reasonably.