Particle number conserving BCS approach in the relativistic mean field model and its application to <sup>32-74</sup>Ca

Rong An; Lisheng Geng; Shisheng Zhang; Lang Liu

doi:10.1088/1674-1137/42/11/114101

Chinese Physics C> 2018, Vol. 42> Issue(11) : 114101 DOI: 10.1088/1674-1137/42/11/114101

Particle number conserving BCS approach in the relativistic mean field model and its application to ^32-74Ca

1.
School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China
2.
School of Physics and Nuclear Energy Engineering &
3.
School of Science, Jiangnan University, Wuxi 214122, China

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Abstract：
A fixed particle number BCS (FBCS) approach is formulated in the relativistic mean field (RMF) model. It is shown that the RMF+FBCS model obtained can describe the weak pairing limit. We calculate the ground-state properties of the calcium isotopes ^32-74Ca and compare the results with those obtained from the usual RMF+BCS model. Although the results are quite similar to each other, we observe the interesting phenomenon that for ⁵⁴Ca, the FBCS approach can enhance the occupation probability of the 2p_1/2 single particle level and slightly increases its radius, compared with the RMF+BCS model. This leads to the unusual scenario that although ⁵⁴Ca is more bound with a spherical configuration, the corresponding size is not the most compact. We anticipate that such a phenomenon might happen for other neutron-rich nuclei and should be checked by further more systematic studies.
- relativistic mean field model ,
- pairing correlation ,
- BCS approach ,
- particle number projection

References

[1]	Isao Tanihata, Herve Savajols, and Rituparna Kanungo, Prog. Part. Nucl. Phys., 68:215-313(2013)
[2]	J. Meng and S. G. Zhou, J. Phys. G, 42(9):093101(2015)
[3]	J. Dobaczewski, W. Nazarewicz, T. R. Werner, J. F. Berger, C. R. Chinn, and J. Decharge, Phys. Rev. C, 53:2809-2840(1996)
[4]	J. Meng and P. Ring, Phys. Rev. Lett., 77:3963-3966(1996)
[5]	W. Poschl, D. Vretenar, G. A. Lalazissis, and P. Ring, Phys. Rev. Lett., 79:3841-3844(1997)
[6]	G. A. Lalazissis, D. Vretenar, W. Poeschl, and P. Ring, Phys. Lett. B, 418:7-12(1998)
[7]	Jie Meng, Nucl. Phys. A, 635(1-2):3-42(1998)
[8]	N. Sandulescu, Nguyen Van Giai, and R. J. Liotta, Phys. Rev. C, 61:061301(2000)
[9]	Li-Gang Cao and Zhong-Yu Ma, Phys. Rev. C, 66:024311(2002)
[10]	N. Sandulescu, L. S. Geng, H. Toki, and G. C. Hillhouse, Phys. Rev. C, 68:054323(2003)
[11]	Li-Sheng Geng, Hiroshi Toki, Satoru Sugimoto, and Jie Meng, Prog. Theor. Phys., 110:921-936(2003)
[12]	J. C. Pei, A. T. Kruppa, and W. Nazarewicz, Phys. Rev. C, 84:024311(2011)
[13]	Shi-Sheng Zhang, En-Guang Zhao, and Shan-Gui Zhou, Eur. Phys. J. A, 49(6):77(2013)
[14]	Ya-Juan Tian, Tai-Hua Heng, Zhong-Ming Niu, Quan Liu, and Jian-You Guo, Chin. Phys. C, 41(4):044104(2017)
[15]	P. Ring and P. Schuck, The Nuclear Many-Body Problem, (New York:Springer-Verlag, 1980)
[16]	A.Bohr and B. R. Mottelson, Nuclear Structure, (Singapore:World Scientific, 1998)
[17]	John Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev., 106:162(1957)
[18]	John Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev., 108:1175-1204(1957)
[19]	Leon N Cooper et al, BCS:50 years, (World Scientific, 2011)
[20]	N. N. Bogolyubov, Sov. Phys. JETP, 7:41-46(1958);[Front. Phys., 6:399(1961)]
[21]	Klaus Dietrich, Hans J. Mang, and Jean H. Pradal, Phys. Rev., 135:B22-B34(1964)
[22]	D. J. Dean and M. Hjorth-Jensen, Rev. Mod. Phys., 75:607-656(2003)
[23]	Javid A. Sheikh and Peter Ring, Nucl. Phys. A, 665(1-2):71-91(2000)
[24]	J. A. Sheikh, P. Ring, E. Lopes, and R. Rossignoli, Phys. Rev. C, 66:044318(2002)
[25]	M. Anguiano, J. L. Egido, and L. M. Robledo, Nucl. Phys. A, 696(3-4):467-493(2001)
[26]	M. Anguiano, J. L. Egido, and L. M. Robledo, Phys. Lett. B, 545:62-72(2002)
[27]	Michael Bender, Paul-Henri Heenen, and Paul-Gerhard Reinhard, Rev. Mod. Phys., 75:121-180(2003)
[28]	T. Nikić, D. Vretenar, and P. Ring, Phys. Rev. C, 73:034308 (2006)
[29]	T. Nikić, D. Vretenar, and P. Ring, Phys. Rev. C, 74:064309 (2006)
[30]	Wei-Chia Chen, J. Piekarewicz, and A. Volya, Phys. Rev. C, 89(1):014321(2014)
[31]	Jie Meng, Jian-You Guo, Lang Liu, and Shuang-Quan Zhang, Front. Phys. China, 1:38(2006)
[32]	Ming-Jian Cheng, Lang Liu, and Yi-Xin Zhang, Chin. Phys. C, 39(10):104102(2015)
[33]	Z. Shi, Z. H. Zhang, Q. B. Chen, S. Q. Zhang, and J. Meng, Phys. Rev. C, 97:034317(2018)
[34]	J. D. Walecka, Ann. Phys., 83:491-529(1974)
[35]	P. G. Reinhard. Rept. Prog. Phys., 52:439(1989)
[36]	Brian D. Serot and John Dirk Walecka, Adv. Nucl. Phys., 16:1-327(1986)
[37]	P. Ring, Prog. Part. Nucl. Phys., 37:193-263(1996)
[38]	J. Meng, H. Toki, S. G. Zhou, S. Q. Zhang, W. H. Long, and L. S. Geng, Prog. Part. Nucl. Phys., 57:470-563(2006)
[39]	D. Vretenar, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, Phys. Rept., 409:101-259(2005)
[40]	J. Meng, Relativistic density functional for nuclear structure, volume 10, (World Scientific, 2016)
[41]	Y. K. Gambhir, P. Ring, and A. Thimet, Annals Phys., 198:132-179(1990)
[42]	P. Ring, Y. K. Gambhir, and G. A. Lalazissis, Comput. Phys. Commun., 105:77-97(1997)
[43]	G. A. Lalazissis, J. Knig, and P. Ring, Phys. Rev. C, 55:540-543(1997)
[44]	Y. Sugahara and H. Toki, Nucl. Phys. A, 579(3):557-572(1994)
[45]	Wen-Hui Long, Jie Meng, Nguyen Van Giai, and Shan-Gui Zhou, Phys. Rev. C, 69:034319(2004)
[46]	Chin W. Ma and John O. Rasmussen, Phys. Rev. C, 16:1179-1195(1977)
[47]	A. Gade et al, Phys. Rev. C, 74:021302(2006)
[48]	F. Wienholtz et al, Nature, 498(7454):346-349(2013)
[49]	Marcella Grasso, Phys. Rev. C, 89:034316(2014)
[50]	Jia Jie Li, Jr?me Margueron, Wen Hui Long, and Nguyen Van Giai, Phys. Lett. B, 753:97-102(2016)
[51]	W. J. Huang, G. Audi, Meng Wang, F. G. Kondev, S. Naimi, and Xing Xu, Chin. phys. C, 41(3):30002(2017)
[52]	Nobuo Hinohara and Witold Nazarewicz, theory. Phys. Rev. Lett., 116:152502(2016)
[53]	D. Lunney, J. M. Pearson, and C. Thibault, Rev. Mod. Phys., 75:1021-1082(2003)
[54]	P. H. Heenen, A. Valor, M. Bender, P. Bonche, and H. Flocard, Eur. Phys. J. A, 11:393-402(2001)
[55]	Shan-Gui Zhou, Jie Meng, and P. Ring, Phys. Rev. C, 68:034323(2003)
[56]	Shan-Gui Zhou, Jie Meng, P. Ring, and En-Guang Zhao, Phys. Rev. C, 82:011301(2010)

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Rong An, Lisheng Geng, Shisheng Zhang and Lang Liu. Particle number conserving BCS approach in the relativistic mean field model and its application to ^32-74Ca[J]. Chinese Physics C, 2018, 42(11): 114101. doi: 10.1088/1674-1137/42/11/114101

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Received: 2018-05-06

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Supported by the National Natural Science Foundation of China (11522539, 11735003, 11775014, 11375022)

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沈阳化工大学材料科学与工程学院沈阳 110142

Particle number conserving BCS approach in the relativistic mean field model and its application to ^32-74Ca

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Particle number conserving BCS approach in the relativistic mean field model and its application to ^32-74Ca

Particle number conserving BCS approach in the relativistic mean field model and its application to ^32-74Ca