Resonances with triaxial deformation in the complex scaled Green's function method

Xin-Xing Shi; Quan Liu; Min Shi; Zhong-Zhou Ren

doi:10.1088/1674-1137/42/11/114105

Chinese Physics C> 2018, Vol. 42> Issue(11) : 114105 DOI: 10.1088/1674-1137/42/11/114105

Resonances with triaxial deformation in the complex scaled Green's function method

1.
School of Physics, Nanjing University, Nanjing 210093, China
2.
School of Physics and Materials Science, Anhui University, Hefei 230601, China
3.
School of Mathematics and Physics, Anhui jianzhu University, Hefei 230601, China
4.
School of Physics, Nanjing University, Nanjing 210093, China
5.
School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

Abstract
HTML
Reference
Related

PDF

Abstract：
We extend the complex scaled Green's function (CGF) method to describe resonances with triaxial deformation and present a theoretical formalism. Taking ⁴³S as an example, we elaborate numerical details and demonstrate how to determine the resonance parameters. With changes in the deformation parameters, we study the influence of the triaxial deformation parameter γ on single-particle levels. In particular, the present scheme focuses on the advantages of the complex scaling method (CSM) and the Green's function method, and is suitable for the exploration of resonances.
- resonances ,
- single-particle levels ,
- complex scaled Green's function (CGF) method

References

[1]	N. Tajima and N. Suzuki, Phys. Rev. C, 64:037301(2001)
[2]	P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, Berlin, 1980)
[3]	P. Mller, R. Bengtsson, B. G. Carlsson, P. Olivius, and T. Ichikawa, Phys. Rev. Lett., 97:162502(2006)
[4]	Y. Fu, H. Mei, J. Xiang, Z. P. Li, J. M. Yao, and J. Meng, Phys. Rev. C, 87:054305, (2013)
[5]	M. Kimura, Y. Taniguchi, Y. Kanada-En'yo, H. Horiuchi, and K. Ikeda, Phys. Rev. C, 87:011301(R) (2013)
[6]	J. Xiang, J. M. Yao, Y. Fu, Z. H. Wang, Z. P. Li, and W. H. Long, Phys. Rev. C, 93:054324(2016)
[7]	A. Bohr and B. R.Mottelson, Nuclear Structure (Benjamin, NewYork, 1975), Vol. Ⅱ.
[8]	S. Frauendorf and J. Meng, Nucl. Phys. A, 617:131(1997)
[9]	J. Meng, J. Peng, S. Q. Zhang, and S.-G. Zhou, Phys. Rev. C, 73:037303(2006)
[10]	J.-P. Delaroche, M. Girod, J. Libert, H. Goutte, S. Hilaire, S. Pru, N. Pillet, and G. F. Bertsch, Phys. Rev. C, 81:014303(2010)
[11]	S. F. Shen, S. J. Zheng, F. R. Xu, and R. Wyss, Phys. Rev. C, 84:044315(2011)
[12]	X. X. Shi, M. Shi, Z. M. Niu, T. H. Heng, J. Y. Guo, Phys. Rev. C, 94:024302(2016)
[13]	Q. Liu, J. Y. Guo, Z. M. Niu, and S. W. Chen, Phys. Rev. C, 86:054312(2012)
[14]	I. Hamamoto, Phys. Rev. C, 85:064329(2012)
[15]	I. Hamamoto, Phys. Rev. C, 72:024301(2005)
[16]	M. Shi, J. Y. Guo, Q. Liu, Z. M. Niu, and T. H. Heng, Phys. Rev. C, 92:054313(2015)
[17]	T. Myo, A. Ohnishi, and K. Katō, Prog. Theor. Phys., 99:801(1998)
[18]	T. Berggren, Nucl. Phys. A, 109:265(1968)
[19]	J. Y. Guo, M. Yu, J. Wang, B. M. Yao, and P. Jiao, Comput. Phys. Commun., 181:550(2010)
[20]	J. Y. Guo, J. Wang, B. M. Yao, and P. Jiao, Int. J. Mod. Phys. E, 19:1357(2010)
[21]	P. Mller, A. J. Sierk, T. Ichikawa, and H. Sagawa, At. Data Nucl. Data Tables, 109-110:1(2016)
[22]	M. Shi, X. X. Shi, Z. M. Niu, T. T. Sun and J. Y. Guo, Eur. Phys. J. A, 53:40(2017)
[23]	I. Ragnarsson and S. G. Nilsson, Phys. Rep., 45:1(1978)
[24]	J. Aguilar and J. M. Combes, Commun. Math. Phys., 22:269(1971); E. Balslev and J. M. Combes, ibid., 22:280(1971)
[25]	R. Suzuki, T. Myo, and K. Katō, Prog. Theor. Phys., 113:1273(2005)

[1]	Cheng Chen , Zhipan Li , Yuxiao Li , Tingting Sun . Single-particle resonant states with Green’s function method. Chinese Physics C, 2020, 44(8): 084105. doi: 10.1088/1674-1137/44/8/084105
[2]	Xin-Xing Shi , Quan Liu , Dong-Dong Ni , Jian-You Guo , Zhong-Zhou Ren . The first excited single-proton resonance in ¹⁵F by complex-scaled Green's function method. Chinese Physics C, 2020, 44(5): 054103. doi: 10.1088/1674-1137/44/5/054103
[3]	S. Zhang , J. C. Wang , A. Bonasera , M. R. Huang , H. Zheng , G. Q. Zhang , Z. Kohley , Y. G. Ma , S. J. Yennello . Triple α -particle resonances in the decay of hot nuclear systems. Chinese Physics C, 2019, 43(6): 064102. doi: 10.1088/1674-1137/43/6/064102
[4]	Chao-Wei Shen , Deborah Rönchen , Ulf-G. Meißner , Bing-Song Zou . Exploratory study of possible resonances in heavy meson-heavy baryon coupled-channel interactions. Chinese Physics C, 2018, 42(2): 023106. doi: 10.1088/1674-1137/42/2/023106
[5]	X. Han , C. P. Shen . A mathematical solution for the parameters of three interfering resonances. Chinese Physics C, 2018, 42(4): 043001. doi: 10.1088/1674-1137/42/4/043001
[6]	Ya-Juan Tian , Tai-Hua Heng , Zhong-Ming Niu , Quan Liu , Jian-You Guo . Exploration of resonances by using complex momentum representation. Chinese Physics C, 2017, 41(4): 044104. doi: 10.1088/1674-1137/41/4/044104
[7]	Xu Cao , Ju-Jun Xie . Nucleon resonances in πN→η'N and J/ψ→ppη'. Chinese Physics C, 2016, 40(8): 083103. doi: 10.1088/1674-1137/40/8/083103
[8]	CAO Xu . Disentangling the nature of resonances in coupled-channel models. Chinese Physics C, 2015, 39(4): 041002. doi: 10.1088/1674-1137/39/4/041002
[9]	Eef van , George Rupp . Evidence for further charmonium vector resonances. Chinese Physics C, 2011, 35(4): 319-324. doi: 10.1088/1674-1137/35/4/001
[10]	Dmitri Diakonov . Exotic pentaquarks as Gamov—Teller resonances. Chinese Physics C, 2010, 34(9): 1298-1302. doi: 10.1088/1674-1137/34/9/028
[11]	nez Torres . Dynamically generated N^* resonances from the interaction of two mesons and a baryon. Chinese Physics C, 2009, 33(12): 1302-1306. doi: 10.1088/1674-1137/33/12/042
[12]	HE Jun . Study of nucleon resonances in a chiral quark model via η productions. Chinese Physics C, 2009, 33(12): 1389-1392. doi: 10.1088/1674-1137/33/12/062
[13]	ZHONG Xian-Hui , ZHAO Qiang . Λ resonances studied in K^－p→Σ⁰π⁰ in a chiral quark model. Chinese Physics C, 2009, 33(12): 1373-1376. doi: 10.1088/1674-1137/33/12/058
[14]	C. Garcia-Recio , V. K. Magas , T. Mizutani , J. Nieves , A. Ramos , L. L. Salcedo . Charmed baryon resonances with heavy-quark symmetry. Chinese Physics C, 2009, 33(12): 1323-1326. doi: 10.1088/1674-1137/33/12/046
[15]	T. Hyodo , D. Jido , H.-Ch. Kim , H. Nagahiro , S.I. Nam , M. Oka . Reaction dynamics for photoproductions of baryon resonances. Chinese Physics C, 2009, 33(12): 1167-1174. doi: 10.1088/1674-1137/33/12/019
[16]	SUN Bao-Xi , Vicente Vacas . Dynamically generated resonances. Chinese Physics C, 2009, 33(12): 1132-1139. doi: 10.1088/1674-1137/33/12/014
[17]	MEI Hua , CHEN Hong , YAO Jiang-Ming . Single-particle resonance states of ¹²²Zr in relativistic mean-field theory combined with real stabilization method. Chinese Physics C, 2009, 33(S1): 101-104. doi: 10.1088/1674-1137/33/S1/033
[18]	ZHANG Zi-Zhen . Relativistic description of single-particle resonances via phase shift analysis. Chinese Physics C, 2009, 33(3): 187-190. doi: 10.1088/1674-1137/33/3/005
[19]	Dou Zhiguo , Jing Xiaogong , Zhao Guoquan . Single-Particle and Single Hole Energies in the ⁴⁰Ca Region. Chinese Physics C, 1991, 15(S1): 85-92.
[20]	Xia Keding , Cai Yanhuang . Multipole Giant Resonances in Highly Excited Nuclei. Chinese Physics C, 1989, 13(S1): 79-86.

Access

Get Citation

Xin-Xing Shi, Quan Liu, Min Shi and Zhong-Zhou Ren. Resonances with triaxial deformation in the complex scaled Green's function method[J]. Chinese Physics C, 2018, 42(11): 114105. doi: 10.1088/1674-1137/42/11/114105

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-05-17
Revised: 2018-08-02

Fund

Supported by the International Science Technology Cooperation Program of China (2016YFE0129300), the National Natural Science Foundation of China (11575082, 11535004, 11235001, 11761161001, 11375086, 11120101005), the Doctor Foundation of Anhui Jianzhu University 2017 (2017QD18) and the Science and Technology Development Fund of Macau (008/2017/AFJ)

Article Metric

Article Views(1617)
PDF Downloads(29)
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

Resonances with triaxial deformation in the complex scaled Green's function method

1. School of Physics, Nanjing University, Nanjing 210093, China

2. School of Physics and Materials Science, Anhui University, Hefei 230601, China

3. School of Mathematics and Physics, Anhui jianzhu University, Hefei 230601, China

4. School of Physics, Nanjing University, Nanjing 210093, China

5. School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

Received Date: 2018-05-17

Accepted Date: 2018-08-02

Available Online: 2018-11-05

Fund Project: Supported by the International Science Technology Cooperation Program of China (2016YFE0129300), the National Natural Science Foundation of China (11575082, 11535004, 11235001, 11761161001, 11375086, 11120101005), the Doctor Foundation of Anhui Jianzhu University 2017 (2017QD18) and the Science and Technology Development Fund of Macau (008/2017/AFJ)

Abstract: We extend the complex scaled Green's function (CGF) method to describe resonances with triaxial deformation and present a theoretical formalism. Taking ⁴³S as an example, we elaborate numerical details and demonstrate how to determine the resonance parameters. With changes in the deformation parameters, we study the influence of the triaxial deformation parameter γ on single-particle levels. In particular, the present scheme focuses on the advantages of the complex scaling method (CSM) and the Green's function method, and is suitable for the exploration of resonances.

HTML

Reference (25)

Resonances with triaxial deformation in the complex scaled Green's function method

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Resonances with triaxial deformation in the complex scaled Green's function method

HTML

目录