Exact treatment of pairing correlations in Yb isotopes with covariant density functional theory

LIU Lang; ZHAO Peng-Wei

doi:10.1088/1674-1137/38/7/074103

Chinese Physics C> 2014, Vol. 38> Issue(7) : 074103 DOI: 10.1088/1674-1137/38/7/074103

Exact treatment of pairing correlations in Yb isotopes with covariant density functional theory

LIU Lang ^, ,
ZHAO Peng-Wei ^,

Abstract
HTML
Reference
Related

PDF

Abstract：
The effects of pairing correlation in Yb isotopes are investigated by covariant density functional theory with pairing correlations and blocking effects treated exactly by a shell model like approach (SLAP). Experimental one- and two-neutron separation energies are reproduced quite well. The traditional BCS calculations always give larger pairing energies than those given by SLAP calculations, particularly for the nuclei near the proton and neutron drip lines. This may be caused because many of the single particle orbits above the Fermi surface are involved in the BCS calculations, but many of them are excluded in the SLAP calculations.

References

[1]

Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 1[2] Gambhir Y K, Ring P, Thimet A. Ann. Phys. (N. Y.), 1990, 194: 132[3] Ring P. Prog. Part. Nucl. Phys., 1996, 37: 193[4] MENG Jie, Toki H, ZHOU Shan-Gui et al. Prog. Part. Nucl. Phys., 2006, 57: 470[5] Vretenar D, Afanasiev A V, Lalazissis G A, Ring P. Phys. Rep., 2005, 409: 101[6] MENG Jie, GUO Jian-You, LI Jian et al. Prog. Phys., 2011, 31: 199[7] Ginocchio J N. Phys. Rep., 2005, 414(4-5): 165[8] MENG Jie, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev. C, 1998, 58(2): R628[9] LIANG Hao-Zhao, ZHAO Peng-Wei, ZHANG Ying et al. Phys. Rev. C, 2011, 83(4): 041301[10] LI Fang-Qiong, ZHAO Peng-Wei, LIANG Hao-Zhao. Chinese Phys. C (HEP NP), 2011, 35: 825[11] LIANG Hao-Zhao, SHEN Shi-Hang, ZHAO Peng-Wei et al. Phys. Rev. C, 2013, 87: 014334[12] LU Bing-Nan, ZHAO En-Guang, ZHOU Shan-Gui. Phys. Rev. C, 2013, 88: 024323[13] ZHOU Shan-Gui, MENG Jie, Ring P. Phys. Rev. Lett., 2003, 91: 262501[14] HE Xiao-Tao, ZHOU Shan-Gui, MENG Jie et al. Euro. Phys. J. A, 2006, 28: 265[15] Koepf W, Ring P. Nucl. Phys. A, 1989, 493(1): 61[16] Afanasjev A V, Ring P, Knig J. Nucl. Phys. A, 2000, 676: 196[17] ZHAO Peng-Wei, ZHANG Shuang-Quan, PENG Jing et al. Phys. Lett. B, 2011, 699(3): 181[18] ZHAO Peng-Wei, PENG Jing, LIANG Hao-Zhao et al. Phys. Rev. Lett., 2011, 107: 122501[19] ZHAO Peng-Wei, PENG Jing, LIANG Hao-Zhao et al. Phys. Rev. C, 2012, 85: 054310[20] ZENG Jin-Yan, CHENG Tan-Sheng. Nucl. Phys. A, 1983, 405: 1[21] ZENG Jin-Yan, JIN Tai-Hao, ZHAO Z J. Phys. Rev. C, 1994, 50: 1388[22] ZENG Jin-Yan, LEI Yi-An, JIN Tai-Hao et al. Phys Rev. C, 1994, 50: 746[23] LIU Shu-Xin, ZENG Jin-Yan. Phys. Rev. C, 2002, 66: 067301[24] ZENG Jin-Yan, LIU Shu-Xin, LEI Yi-An et al. Phys. Rev. C, 2001, 63: 024305[25] LIU Shu-Xin, ZENG Jin-Yan, ZHAO En-Guang. Phys. Rev. C, 2002, 66: 024320[26] WU Xi, ZHANG Zhen-Hua, ZENG Jin-Yan et al. Phys. Rev. C, 2011, 83: 034323[27] LIU Shu-Xin, ZENG Jin-Yan, YU L. Nucl. Phys. A, 2004, 735: 77[28] ZHANG Zhen-Huan, LEI Yi-An, ZENG Jin-Yan. Phys. Rev. C, 2009, 80: 034313[29] HE Xiao-Tao, YU Shao-Ying, ZENG Jin-Yan et al. Nucl. Phys. A, 2005, 760: 263[30] ZHANG Zhen-Hua, HE Xiao-Tao, ZENG Jin-Yan et al. Phys. Rev. C, 2012, 85: 014324[31] ZHANG Zhen-Hua, MENG Jie, ZHAO En-Guang et al. Phys. Rev. C, 2013, 87: 054308[32] ZHANG Zhen-Hua, ZHAO Peng-Wei, MENG Jie et al. Phys. Rev. C, 2013, 87: 054314[33] MENG Jie, GUO Jian-You, LIU, Lang et al. Front. Phys. China, 2006, 1: 38[34] GUO Jian-You, MENG Jie, ZHANG Shuang-Quan. Nucl. Phys. Rev., 2004, 21: 355[35] LIU Lang, MENG Jie, ZHANG Shuang-Quan. HEP NP, 2006, 30: 299 (in Chinese)[36] WANG Pei-Wei, CHEN Hong, LI Jia-Xing et al. HEP NP, 2006, 30(Supp. Ⅱ): 94 (in Chinese)[37] LIU Lang, WANG Peng-Wei, CHEN Hong et al. HEP NP, 2006, 30(Supp. Ⅱ): 227 (in Chinese)[38] LIU Lang, ZHAO Peng-Wei Chinese Phys. C (HEP NP), 2012, 36: 818[39] WU Chong-Shi, ZENG Jin-Yan. Phys. Rev. C, 1989, 39: 666[40] Molique H, Dudek J. Phys. Rev. C, 1997, 56: 1795[41] LONG Wei-Hui, MENG Jie, Giai N V et al. Phys. Rev. C, 2004, 69: 034319[42] WANG Meng, Audi G, Wapstra A H et al. Chinese Phys. C (HEP NP), 2012, 36: 1603[43] ZHAO Peng-Wei, LI Zhi-Pan, YAO Jiang-Ming et al. Phys. Rev. C, 2010, 82: 054319[44] ZHOU Shan-Gui, MENG Jie, Ring P et al. Phys. Rev. C, 2010, 82: 011301(R)

[1]	Junchen Wang , Yuan Tian , Ruirui Xu , Ying Cui , Xi Tao , Xiaodong Sun , Zhi Zhang , Yue Zhang , Yinlu Han , Zhigang Ge , Nengchuan Shu . A study of U-isotope ground state properties with covariant energy density functional. Chinese Physics C, 2024, 48(6): 064102. doi: 10.1088/1674-1137/ad305c
[2]	Ming-Hui Zhou , Ze-Yu Li , Sheng-Yuan Chen , Yong-Jing Chen , Zhi-Pan Li . Three-dimensional potential energy surface for fission of ²³⁶U within covariant density functional theory. Chinese Physics C, 2023, 47(6): 064106. doi: 10.1088/1674-1137/acc4ac
[3]	Yong-Jing Chen , Yang Su , Guoxiang Dong , Li-Le Liu , Zhigang Ge , Xiaobao Wang . Energy density functional analysis of the fission properties of ²⁴⁰Pu: The effect of pairing correlations. Chinese Physics C, 2022, 46(2): 024103. doi: 10.1088/1674-1137/ac347a
[4]	Wei Zhang , Wan-Li Lv , Ting-Ting Sun . Shell corrections with finite temperature covariant density functional theory. Chinese Physics C, 2021, 45(2): 024107. doi: 10.1088/1674-1137/abce12
[5]	Yi-Long Yang , Ya-Kun Wang . Nuclear chart in covariant density functional theory with dynamic correlations: From oxygen to tin. Chinese Physics C, 2020, 44(3): 034102. doi: 10.1088/1674-1137/44/3/034102
[6]	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-.
[7]	Taejin Lee . Covariant open string field theory on multiple Dp-branes. Chinese Physics C, 2018, 42(11): 113105. doi: 10.1088/1674-1137/42/11/113105
[8]	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
[9]	Zhong Xu , Zhi-Pan Li . Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional. Chinese Physics C, 2017, 41(12): 124107. doi: 10.1088/1674-1137/41/12/124107
[10]	Wei Zhang , Yi-Fei Niu . Shape evolution of ^{72, 74}Kr with temperature in covariant density functional theory. Chinese Physics C, 2017, 41(9): 094102. doi: 10.1088/1674-1137/41/9/094102
[11]	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
[12]	Hao Ouyang , Jun-Bao Wu , Jia-Ju Zhang . Exact results for Wilson loops in orbifold ABJM theory. Chinese Physics C, 2016, 40(8): 083101. doi: 10.1088/1674-1137/40/8/083101
[13]	Anwer A . Correspondence between phenomenological and IBM-1 models of even isotopes of Yb. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101
[14]	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
[15]	LI Zhao-Xi , LI Zhi-Pan . Center-of-mass correction and rotational correction in covariant density functional theory. Chinese Physics C, 2015, 39(11): 114101. doi: 10.1088/1674-1137/39/11/114101
[16]	FAN Guang-Wei , DONG Tie-Kuang , D. Nishimura . Nonlinear relativistic mean-field theory studies on He isotopes. Chinese Physics C, 2014, 38(12): 124102. doi: 10.1088/1674-1137/38/12/124102
[17]	LIU Lang , ZHAO Peng-Wei . α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach. Chinese Physics C, 2012, 36(9): 818-822. doi: 10.1088/1674-1137/36/9/004
[18]	SUN Bao-Yuan , MENG Jie . Neutron star equation of state in density dependent relativistic Hartree-Fock theory. Chinese Physics C, 2009, 33(S1): 73-75. doi: 10.1088/1674-1137/33/S1/024
[19]	CHEN Fang-Qi , SUN Yang , ZHOU Xian-Rong . Level statistics for the even-even Yb isotopes. Chinese Physics C, 2009, 33(S1): 24-26. doi: 10.1088/1674-1137/33/S1/008
[20]	GUO Jian-You , SHENG Zong-Qiang , FANG Xiang-Zheng . A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory. Chinese Physics C, 2008, 32(11): 886-891. doi: 10.1088/1674-1137/32/11/008

Access

Get Citation

LIU Lang and ZHAO Peng-Wei. Exact treatment of pairing correlations in Yb isotopes with covariant density functional theory[J]. Chinese Physics C, 2014, 38(7): 074103. doi: 10.1088/1674-1137/38/7/074103

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2013-09-22
Revised: 1900-01-01

Article Metric

Article Views(1567)
PDF Downloads(143)
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

Exact treatment of pairing correlations in Yb isotopes with covariant density functional theory

Corresponding author: LIU Lang,

Corresponding author: ZHAO Peng-Wei,

Received Date: 2013-09-22

Accepted Date: 1900-01-01

Available Online: 2014-07-05

Abstract: The effects of pairing correlation in Yb isotopes are investigated by covariant density functional theory with pairing correlations and blocking effects treated exactly by a shell model like approach (SLAP). Experimental one- and two-neutron separation energies are reproduced quite well. The traditional BCS calculations always give larger pairing energies than those given by SLAP calculations, particularly for the nuclei near the proton and neutron drip lines. This may be caused because many of the single particle orbits above the Fermi surface are involved in the BCS calculations, but many of them are excluded in the SLAP calculations.

HTML

Reference (1)

Exact treatment of pairing correlations in Yb isotopes with covariant density functional theory

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article