A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory

GUO Jian-You; SHENG Zong-Qiang; FANG Xiang-Zheng

doi:10.1088/1674-1137/32/11/008

Chinese Physics C> 2008, Vol. 32> Issue(11) : 886-891 DOI: 10.1088/1674-1137/32/11/008

A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory

Abstract
HTML
Reference
Related

PDF

Abstract：
The microscopically constrained relativistic mean field theory is used to investigate the superdeformation for Pb isotopes. The calculations have been performed with the four different interactions NL3, PK1, TM1 and NLSH, and show that there exists a clear superdeformed minimum in the potential energy surfaces. The excitation energy, deformation and depth of the well in the
superdeformed minimum are comparable for the four different interactions. Furthermore the trend for the change of the superdeformed excitation energy with neutron number is correctly reproduced. The calculated two-neutron separation energy in the ground state and superdeformed minimum together with their differences are in agreement with the available data. The larger energy difference appearing in the superdeformed minimum reflects a lower average level density at superdeformations for Pb isotopes.

References

[1]

. Singh B, Zywina R, Firestone R B. Nuclear Data Sheets,2002, 97: 2412. Khoo T L, Carpenter M P, Lauritsen T et al. Phys. Rev.Lett., 1996, 76: 15833. Hackman G, Khoo T L, Carpenter M P et al. Phys. Rev.Lett., 1997, 79: 41004. Lopez-Martens A, Hannachi F, Korichi A et al. Phys. Lett.B, 1996, 380: 185. Hauschild K, Bernstein L A, Becker J A et al. Phys. Rev.C, 1997, 55: 28196. Wilson A N, Dracoulis G D, Byrne A P et al. Phys. Rev.Lett., 2003, 90: 1425017. Siem S, Reiter P, Khoo T L et al. Phys. Rev. C, 2004, 70:0143038. Lauritsen T, Khoo T L, Ahmad I et al. Phys. Rev. C, 2000,62: 0443169. Johnson M S, Cizewski J A, Ding K Y et al. Phys. Rev. C,2005, 71: 04431010. Wilson A N, Singh A K, Hubel H et al. Phys. Rev. Lett.,2005, 95: 18250111. Satula W et al. Nucl. Phys. A, 1991, 529: 28912. Krieger S J et al. Nucl. Phys. A, 1992, 542: 4313. Heenen P H, Dobaczewski J, Nazarewicz W et al. Phys.Rev. C, 1998, 57: 171914. Libert J, Girod M, Delaroche J P. Phys. Rev. C, 1999, 60:05430115. Adamian G G, Antonenko N V, Jolos R V et al. Phys. Rev.C, 2004, 69: 05431016. Serot B, Walecka J D. Adv. Nucl. Phys., 1996, 16: 117. Reinhard P G. Rep. Prog. Phys., 1989, 52: 43918. Ring P. Prog. Part. Nucl. Phys., 1996, 37: 19319. MENG J. Nucl. Phys. A, 1998, 635: 320. Afanasjevb A V, Lalazissisc G A, Ring P. Phys. Rep., 2005,409: 10121. MENG J, Toki H, ZHOU S G, ZHANG S Q, LONG W H,GENG L S. Prog. Part. Nucl. Phys., 2006, 57: 47022. Lalazissis G A, Ring P. Phys. Lett. B, 1998, 427: 22523. Gambhir Y, Ring P. Thimet A. Ann. Phys. (N.Y.), 1990,198: 13224. ZHOU S G, MENG J, Ring P. Phys. Rev. C, 2003, 68:03432325. Ring P, Schuck P. The Nuclear Many Body Problem.Springer, 198026. Lalazissis G A, Konig J, Ring P. Phys. Rev. C, 1997, 55:54027. LONG W H, MENG J, Giai N V, ZHOU S G. Phys. Rev.C, 2004, 69: 03431928. Sugahara Y, Toki H. Nucl. Phys. A, 1994, 579: 55729. Sharma M M, Nagarajan M A, Ring P. Phys. Lett. B, 1993,312: 37730. Audi G, Wapstra A H. Nucl. Phys. A, 1995, 595: 409

[1]	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
[2]	Kai-Wen Li , Xiu-Lei Ren , Li-Sheng Geng , Bing-Wei Long . Leading order relativistic hyperon-nucleon interactions in chiral effective field theory. Chinese Physics C, 2018, 42(1): 014105. doi: 10.1088/1674-1137/42/1/014105
[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]	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
[5]	Honey Sharma , H. M. Mittal . Systematic study of rotational energy formulae for superdeformed bands in La and Ce isotopes. Chinese Physics C, 2017, 41(12): 124105. doi: 10.1088/1674-1137/41/12/124105
[6]	Lin-Feng Zhang , Xue-Wei Xia . Global α-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory. Chinese Physics C, 2016, 40(5): 054102. doi: 10.1088/1674-1137/40/5/054102
[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]	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
[9]	WANG Ping . New quantization conditions for field theory without divergence. Chinese Physics C, 2011, 35(3): 223-227. doi: 10.1088/1674-1137/35/3/003
[10]	FAN Guang-Wei , XU Wang , PAN Qiang-Yan , CAI Xiao-Lu , FAN Gong-Tao , LI Yong-Jiang , LUO Wen , XU Ben-Ji , YAN Zhe , YANG Li-Feng . Radius studies of ⁸Li and ⁸B using the optical-limit Glauber model in conjunction with relativistic mean-field theory. Chinese Physics C, 2010, 34(10): 1622-1627. doi: 10.1088/1674-1137/34/10/013
[11]	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
[12]	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
[13]	YAO Jiang-Ming , MENG Jie , Pena Arteaga , Ring Peter . Restoration of rotational symmetry in deformed relativistic mean-field theory. Chinese Physics C, 2009, 33(S1): 21-23. doi: 10.1088/1674-1137/33/S1/007
[14]	GAO Yuan , DONG Jian-Min , ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing . Properties and structure of N=Z nuclei within relativistic mean field theory. Chinese Physics C, 2009, 33(10): 848-853. doi: 10.1088/1674-1137/33/10/006
[15]	YAO Jiang-Ming , . Towards Lambda-nucleon coupling constants in relativistic mean field theory. Chinese Physics C, 2009, 33(S1): 64-66. doi: 10.1088/1674-1137/33/S1/021
[16]	ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing , Soojae IM , MA Zhong-Yu , CHEN Bao-Qiu . Pb Isotope Shifts in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(8): 745-749.
[17]	SHENG Zong-Qiang , SHAO Ji-Hong , GUO Jian-You . Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(6): 481-484.
[18]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-field Calculation on Λ Hypernuclei. Chinese Physics C, 1997, 21(S4): 47-54.
[19]	Chen Baoqiu , Ma Zhongyu . Description of the Properties of Nuclei Far From the β Stability Line in the Relativistic Mean Field Theory. Chinese Physics C, 1994, 18(Z1): 87-94.
[20]	Jing Sicong , Ruan Jie . Bjorken-Johnson-Low Technique and a Perturbative Study on Chiral Anomaly in Pure Abelian Coset Gauge Field Theory. Chinese Physics C, 1991, 15(S2): 141-152.

Access

Get Citation

GUO Jian-You, SHENG Zong-Qiang and FANG Xiang-Zheng. A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory[J]. Chinese Physics C, 2008, 32(11): 886-891. doi: 10.1088/1674-1137/32/11/008

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2008-02-26
Revised: 2008-05-19

Article Metric

Article Views(2952)
PDF Downloads(573)
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

A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory

Corresponding author: GUO Jian-You,

Received Date: 2008-02-26

Accepted Date: 2008-05-19

Available Online: 2008-11-05

Abstract:

The microscopically constrained relativistic mean field theory is used to investigate the superdeformation for Pb isotopes. The calculations have been performed with the four different interactions NL3, PK1, TM1 and NLSH, and show that there exists a clear superdeformed minimum in the potential energy surfaces. The excitation energy, deformation and depth of the well in the
superdeformed minimum are comparable for the four different interactions. Furthermore the trend for the change of the superdeformed excitation energy with neutron number is correctly reproduced. The calculated two-neutron separation energy in the ground state and superdeformed minimum together with their differences are in agreement with the available data. The larger energy difference appearing in the superdeformed minimum reflects a lower average level density at superdeformations for Pb isotopes.

HTML

Reference (1)

A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article