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

Abstract
HTML
Reference
Related

PDF

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)

[1]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[2]	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
[3]	Hong-Lei Li , Peng-Cheng Lu , Cong-Feng Qiao , Zong-Guo Si , Ying Wang . Study of the Standard Model and Majorana neutrino contributions to ${ B}^{{ +}} { \to} { K}^{{ (*){ \pm}}}{ \mu}^{ +}{ \mu}^{{ \mp}}$. Chinese Physics C, 2019, 43(2): 023101. doi: 10.1088/1674-1137/43/2/023101
[4]	D. Banerjee , S. Sahoo . Analysis of λ_b→λ l⁺l^- rare decays in a non-universal Z' model. Chinese Physics C, 2017, 41(8): 083101. doi: 10.1088/1674-1137/41/8/083101
[5]	Peng Yin , Jianmin Dong , Wei Zuo . Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach. Chinese Physics C, 2017, 41(11): 114102. doi: 10.1088/1674-1137/41/11/114102
[6]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[7]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[8]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[9]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[10]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[11]	WU SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL U_αβ=M_αβ（ε_β）. Chinese Physics C, 1979, 3(4): 469-483.

Access

Figures(1)

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-05-06

Fund

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

Article Metric

Article Views(3413)
PDF Downloads(77)
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

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录

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