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

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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)

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[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.

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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

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

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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)

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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.

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

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