Particle-number fluctuation of pairing correlations for Dy isotopes

CHENG Ming-Jian; LIU Lang; ZHANG Yi-Xin

doi:10.1088/1674-1137/39/10/104102

Chinese Physics C> 2015, Vol. 39> Issue(10) : 104102 DOI: 10.1088/1674-1137/39/10/104102

Particle-number fluctuation of pairing correlations for Dy isotopes

Abstract
HTML
Reference
Related

PDF

Abstract：
Within the relativistic mean field (RMF) theory, the ground state properties of dysprosium isotopes are studied using the shell-model-like approach (SLAP), in which pairing correlations are treated with particle-number conservation, and the Pauli blocking effects are taken into account exactly. For comparison, calculations of the Bardeen-Cooper-Schrieffer (BCS) model with the RMF are also performed. It is found that the RMF+SLAP calculation results, as well as the RMF+BCS ones, reproduce the experimental binding energies and one- and two-neutron separation energies quite well. However, the RMF+BCS calculations give larger pairing energies than those obtained by the RMF+SLAP calculations, in particular for nuclei near the proton and neutron drip lines. This deviation is discussed in terms of the BCS particle-number fluctuation, which leads to the sizable deviation of pairing energies between the RMF+BCS and RMF+SLAP models, where the fluctuation of the particle number is eliminated automatically.

References

[1]

Walecka J D. Ann. Phys., 1974, 83(2): 491-529[2] Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 1[3] Reinhard P G. Rep. Prog. Phys., 1989, 52: 439-514[4] Gambhir Y K, Ring P, Thimet A. Ann. Phys. New York, 1990, 194: 132-179[5] Ring P. Prog. Part. Nucl. Phys., 1996, 37: 193-263[6] MENG J, Toki H, ZHOU S G et al. Prog. Part. Nucl. Phys., 2006, 57: 470-563[7] Vretenar D, Afanasiev A V, Lalazissis G A. Phys. Rep., 2005, 409: 101-259[8] MENG J. Nucl. Phys. A, 1998, 635: 3-42[9] ZHAO P W, PENG J, LIANG H Z et al. Phys. Rev. Lett., 2011, 107: 122501[10] ZHAO P W, PENG J, LIANG H Z et al. Phys. Rev. C, 2012, 85: 054310[11] CAO L G, MA Z Y. Phys. Rev. C, 2002, 66: 024311[12] MA Z Y, Wandelt A, Giai N V et al. Nucl. Phys. A, 2002, 703: 222-239[13] REN Z Z, Toki H. Nucl. Phys. A, 2001, 689: 691-706[14] Knig J, Ring P. Phys. Rev. Lett., 1993, 71: 3079-3082[15] Arima A, Harvey M, Shimizu K. Phys. Lett. Sect. B, 1969, 30: 517-522[16] Ginocchio J N. Phys. Rev. Lett., 1997, 78: 436[17] Joseph N, Ginocchio. Phys. Rep., 2005, 414(4-5): 165-261[18] MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev. C, 1998, 58(2): R628[19] LIANG H Z, SHEN S H, ZHAO P W et al. Phys. Rev. C, 2013, 87: 014334[20] LV B N, ZHAO E G, ZHOU S G. Phys. Rev. C, 2013, 88: 024323[21] GENG L S, Toki H, Sugimoto S, MENG J. Prog. Theor. Phys., 2003, 110: 921[22] TIAN Y, MA Z Y, Ring P. Phys. Rev. C, 2009, 80: 024313[23] MENG J, GUO J Y, LIU L et al. Front. Phys. China, 2006, 1: 38-46[24] ZENG J Y, CHENG T S. Nucl. Phys. A, 1983, 405: 1-28[25] ZENG J Y, LEI Y A, JIN T H et al. Phys Rev C, 1994, 50: 746[26] LIU S X, ZENG J Y. Phys. Rev. C, 2002, 66(6): 067301[27] LIU S X, ZENG J Y, ZHAO E G. Phys. Rev. C, 2002, 66(2): 024320[28] WU X, ZHANG Z H, ZENG J Y et al. Phys. Rev. C, 2011, 83(3): 034323[29] ZHANG Z H, HE X T, ZENG J Y et al. Phys. Rev. C, 2012, 85(1): 014324[30] ZHANG Z H, MENG J, ZHAO E G et al. Phys. Rev. C, 2013, 87(5): 054308[31] LIU L, ZHAO P W. Chin. Phys. C, 2012, 36: 818-822[32] ZHANG Z H, ZHAO P W, MENG J et al. Phys. Rev. C, 2013, 87(5): 054314[33] LONG W, MENG J, Van Giai N et al. Phys. Rev. C, 2004, 69(3): 034319[34] WANG M, Audi G, Wapstra A H et al. Chin. Phys. C, 2012, 36: 1603-2014[35] Ring P, Schuck P. The Nuclear Many-Body Problem. Springer, 2004

[1]	B. S. Ishkhanov;S. V. Sidorov;T. Yu. Tretyakova;E. V. Vladimirova . Empirical pairing gaps and neutron-proton correlations. Chinese Physics C, 2019, df87c41e-622f-49a7-b081-5c584df157aa(11): 14104-.
[2]	Rong An , Lisheng Geng , Shisheng Zhang , Lang Liu . Particle number conserving BCS approach in the relativistic mean field model and its application to ^32-74Ca. Chinese Physics C, 2018, 42(11): 114101. doi: 10.1088/1674-1137/42/11/114101
[3]	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
[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]	B. S. Ishkhanov , S. V. Sidorov , T. Yu. Tretyakova , E. V. Vladimirova . Mass differences and neutron pairing in Ca, Sn and Pb isotopes. Chinese Physics C, 2017, 41(9): 094101. doi: 10.1088/1674-1137/41/9/094101
[6]	Zhen-Hua Zhang , Peng Xu . Investigation of the high-spin rotational properties of the proton emitter ¹¹³Cs using a particle-number conserving method. Chinese Physics C, 2017, 41(2): 024103. doi: 10.1088/1674-1137/41/2/024103
[7]	XU Xing , WANG Meng , ZHANG Yu-Hu , et al. (BESⅢ collaboration) . Direct mass measurements of neutron-rich ⁸⁶Kr projectile fragments and the persistence of neutron magic number N=32 in Sc isotopes. Chinese Physics C, 2015, 39(10): 104001. doi: 10.1088/1674-1137/39/10/104001
[8]	LIU Lang , ZHAO Peng-Wei . Exact treatment of pairing correlations in Yb isotopes with covariant density functional theory. Chinese Physics C, 2014, 38(7): 074103. doi: 10.1088/1674-1137/38/7/074103
[9]	LI Bing-Huan , ZHANG Zhen-Hua , LEI Yi-An . Particle-number conserving analysis for the 2-quasiparticle and high-K multi-quasiparticle states in doubly-odd ^174,176Lu. Chinese Physics C, 2013, 37(1): 014101. doi: 10.1088/1674-1137/37/1/014101
[10]	ZHANG Zhen-Hua , QI Shou-Tao , SUN Bao-Xi , LEI Yi-An , ZENG Jin-Yan . Particle-number-conserving analysis of multiquasiparticle bands in ¹⁷⁷Lu. Chinese Physics C, 2010, 34(1): 39-44. doi: 10.1088/1674-1137/34/1/007
[11]	ZHOU You , WU Ke-Jun , LIU Feng . Charged particle fluctuation in Au+Au collision. Chinese Physics C, 2010, 34(9): 1436-1439. doi: 10.1088/1674-1137/34/9/064
[12]	ZHANG Zhen-Hua , XU Hong-Qiao , SUN Bao-Xi . Particle-number conserving analysis of the high-K multi-quasiparticle bands in ¹⁷⁹Re. Chinese Physics C, 2010, 34(12): 1836-1841. doi: 10.1088/1674-1137/34/12/009
[13]	任中洲 , . Influences of the change of neutron number on the charge form factors of Ca and Ni isotopes. Chinese Physics C, 2008, 32(S2): 93-98.
[14]	NI Shao-Yong , SHI Zhu-Yi , ZHAO Xing-Zhi , TONG Hong . Even Dy Isotopes in Relativistic Continuum Hartree-Bogoliubov Theory. Chinese Physics C, 2004, 28(S1): 108-112.
[15]	Zhang Weigang . Particle-group Correlations and Collectivity for 2.1A GeV Ne+NaF Collision. Chinese Physics C, 1997, 21(S4): 65-72.
[16]	Jin Taihao , Zhao Zhengji , Zeng Jinyan . Particle-Number Conserving Calculation of the Bandhead Moments of Inertia of Identical SD Bands. Chinese Physics C, 1993, 17(S4): 411-421.
[17]	Liu Qingjun , Jiang Yuzhen , Wang Shan , Liu Yiming , D. Keane , S. Y. Chu , S. Y. Fung . Multi-particle Azimuthal Correlations and the Nuclear Equation of State. Chinese Physics C, 1992, 16(S3): 291-296.
[18]	Wang Shaoshun , Zhang Jie , Xiao Chenguo , Ye Yunxiu , Cheng Zhengdong , Zhang Xueqian , Luo Qi , Xu Wanli , Xiong Weijun . Two-Particle Pseudorapidity Correlations in pp Collisions at 400 GeV/c. Chinese Physics C, 1992, 16(S2): 127-134.
[19]	Wu Chongshi , Zeng Jinyan . Nuclear Pairing Phase Transition. Chinese Physics C, 1988, 12(S1): 81-90.
[20]	Cheng Tansheng , Wu Chongshi , Zeng Jinyan . Particle-Number-Conserving Approach for Treating Cranking Hamiltonian. Chinese Physics C, 1988, 12(S3): 313-320.

Access

Get Citation

CHENG Ming-Jian, LIU Lang and ZHANG Yi-Xin. Particle-number fluctuation of pairing correlations for Dy isotopes[J]. Chinese Physics C, 2015, 39(10): 104102. doi: 10.1088/1674-1137/39/10/104102

CHENG Ming-Jian, LIU Lang and ZHANG Yi-Xin. Particle-number fluctuation of pairing correlations for Dy isotopes[J]. Chinese Physics C, 2015, 39(10): 104102. doi: 10.1088/1674-1137/39/10/104102 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2014-11-21
Revised: 1900-01-01

Article Metric

Article Views(1611)
PDF Downloads(58)
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 fluctuation of pairing correlations for Dy isotopes

Corresponding author: LIU Lang,

Received Date: 2014-11-21

Accepted Date: 1900-01-01

Available Online: 2015-10-10

Abstract: Within the relativistic mean field (RMF) theory, the ground state properties of dysprosium isotopes are studied using the shell-model-like approach (SLAP), in which pairing correlations are treated with particle-number conservation, and the Pauli blocking effects are taken into account exactly. For comparison, calculations of the Bardeen-Cooper-Schrieffer (BCS) model with the RMF are also performed. It is found that the RMF+SLAP calculation results, as well as the RMF+BCS ones, reproduce the experimental binding energies and one- and two-neutron separation energies quite well. However, the RMF+BCS calculations give larger pairing energies than those obtained by the RMF+SLAP calculations, in particular for nuclei near the proton and neutron drip lines. This deviation is discussed in terms of the BCS particle-number fluctuation, which leads to the sizable deviation of pairing energies between the RMF+BCS and RMF+SLAP models, where the fluctuation of the particle number is eliminated automatically.

HTML

Reference (1)

Particle-number fluctuation of pairing correlations for Dy isotopes

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article