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]	Yan-Zhao Wang , Feng-Zhu Xing , Jian-Po Cui , Yong-Hao Gao , Jian-Zhong Gu . Roles of tensor force and pairing correlation in two-proton radioactivity of halo nuclei. Chinese Physics C, 2023, 47(8): 084101. doi: 10.1088/1674-1137/acd680
[2]	Jeet Amrit Pattnaik , R. N. Panda , M. Bhuyan , S. K. Patra . Constraining the relativistic mean-field models from PREX-2 data: effective forces revisited. Chinese Physics C, 2022, 46(9): 094103. doi: 10.1088/1674-1137/ac6f4e
[3]	Rashmirekha Swain , S. K. Patra , B. B. Sahu . Nuclear structure and decay modes of Ra isotopes within an axially deformed relativistic mean field model. Chinese Physics C, 2018, 42(8): 084102. doi: 10.1088/1674-1137/42/8/084102
[4]	Benbouzid N , Allal M , Fellah M . Isovector pairing and particle-number fluctuation effects on the spectroscopic factors of one-proton stripping and one-neutronpick-up reactions in proton-rich nuclei. Chinese Physics C, 2018, 42(8): 084104. doi: 10.1088/1674-1137/42/8/084104
[5]	Y. Benbouzid , N. H. Allal , M. Fellah , M. R. Oudih . Influence of isovector pairing and particle-number projection effects on spectroscopic factors for one-pair like-particle transfer reactions in proton-rich even-even nuclei. Chinese Physics C, 2018, 42(4): 044103. doi: 10.1088/1674-1137/42/4/044103
[6]	Wu-Ji Sun , Hai-Dan Xu , Jian Li , Yong-Hao Liu , Ke-Yan Ma , Dong Yang , Jing-Bing Lu , Ying-Jun Ma . Antimagnetic rotation in ^108,110In with tilted axis cranking relativistic mean-field approach. Chinese Physics C, 2016, 40(8): 084101. doi: 10.1088/1674-1137/40/8/084101
[7]	Hong-Bo Bai , Zhen-Hua Zhang , Xiao-Wei Li . Investigation of the Mg isotopes using the shell-model-like approach in relativistic mean field theory. Chinese Physics C, 2016, 40(11): 114101. doi: 10.1088/1674-1137/40/11/114101
[8]	CHENG Ming-Jian , LIU Lang , ZHANG Yi-Xin . Particle-number fluctuation of pairing correlations for Dy isotopes. Chinese Physics C, 2015, 39(10): 104102. doi: 10.1088/1674-1137/39/10/104102
[9]	HE Peng-Bo , LI Qiang , LIU Xin-Guo . Experimental measurement of the correlation between CT number and heavy ion range. Chinese Physics C, 2012, 36(10): 954-957. doi: 10.1088/1674-1137/36/10/006
[10]	GUAN Xin , LI Hang , TAN Qi , PAN Feng . Nilsson mean-field plus the extended pairing model description of rare earth nuclei. Chinese Physics C, 2011, 35(8): 747-752. doi: 10.1088/1674-1137/35/8/009
[11]	YUAN Yi , LI Kang , WANG Jian-Hua , CHEN Chi-Yi . Spin-1/2 relativistic particle in a magnetic field in NC phase space. Chinese Physics C, 2010, 34(5): 543-547. doi: 10.1088/1674-1137/34/5/005
[12]	ZHANG Wei , LI Zhi-Pan , ZHANG Shuang-Quan . Octupole deformation for Ba isotopes in a reflection-asymmetric relativistic mean-field approach. Chinese Physics C, 2010, 34(8): 1094-1099. doi: 10.1088/1674-1137/34/8/011
[13]	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
[14]	HUANG Yan-Ping , WU Yuan-Fang . Centrality, azimuthal and rapidity dependence of two-particle transverse-momentum correlation in relativistic heavy ion collisions. Chinese Physics C, 2009, 33(4): 281-284. doi: 10.1088/1674-1137/33/4/008
[15]	LI Jian , YAO Jiang-Ming , MENG Jie . Deformation constrained relativistic mean-field approach with fixed configuration and time-odd component. Chinese Physics C, 2009, 33(S1): 98-100. doi: 10.1088/1674-1137/33/S1/032
[16]	PENG Jing , XING Li-Feng , MENG Jie . Shears mechanism in two-dimensional cranking relativistic mean field approach. Chinese Physics C, 2009, 33(S1): 15-17. doi: 10.1088/1674-1137/33/S1/005
[17]	SUN Bao-Hua , LI Jian . Shell evolution at N=20 in the constrained relativistic mean field approach. Chinese Physics C, 2008, 32(11): 882-885. doi: 10.1088/1674-1137/32/11/007
[18]	Xi Hongfei , Zhu Yongtai , Shen Wenqing , Wei Zhiyong . Influence of Central Collective Flow on Charged Particle Correlation Functions. Chinese Physics C, 1997, 21(S3): 51-56.
[19]	Luo Chuanwang , Huang Tao , Guo Xingheng , Li Jinping , Lu Goungru . Model Dependence of the BSW Approach. Chinese Physics C, 1994, 18(S2): 151-166.
[20]	Cheng Tansheng , Wu Chongshi , Zeng Jinyan . Particle-Number-Conserving Approach for Treating Cranking Hamiltonian. Chinese Physics C, 1988, 12(S3): 313-320.

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(2108)
PDF Downloads(74)
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