The structure of the spherical tensor forces in the USD and GXPF1A shell model Hamiltonians

WANG Han-Kui; GAO Zao-Chun; CHEN Yong-Shou; GUO Jian-You; CHEN Yong-Jing; TU Ya

doi:10.1088/1674-1137/35/8/010

Chinese Physics C> 2011, Vol. 35> Issue(8) : 753-757 DOI: 10.1088/1674-1137/35/8/010

The structure of the spherical tensor forces in the USD and GXPF1A shell model Hamiltonians

Abstract
HTML
Reference
Related

PDF

Abstract：
The realistic shell model Hamiltonians, USD and GXPF1A, have been transformed from the particle-particle (normal) representation to the particle-hole representation (multipole-multipole) by using the known formulation in Ref. [1]. The obtained multipole-multipole terms were compared with the known spherical tensor forces, including the coupled ones. It is the first time the contributions of the coupled tensor forces to the shell model Hamiltonian have been investigated. It has been shown that some coupled-tensor forces, such as r²Y₂σ]¹, also give important contributions to the shell model Hamiltonian.

References

[1]

Dufour M , Zuker A P. Phys. Rev. C, 1996, 54: 16412 Wildenthal B H. Prog. Part. Nucl. Phys., 1984, 11: 53 Brown B A, Wildenthal B H. Ann. Rev. Nucl. Part. Sci., 1988, 38: 294 Poves A, Zuker A P. Phys. Rep., 1981, 70: 2355 Richter W A, van M J der Merwe, Julies R E, Brown B A. 1991, Nucl. Phys. A, 523: 3256 Honma M et al. Eur. Phys. J. A, 2005, 25(Suppl. 1): 4997 Otsuka T et al. Phys. Rev. Lett., 2010, 105: 0325018 Hara K, SUN Y. Int. J. Mod. Phys. E, 1995, 4: 6379 BAI C L, ZHANG H Q, ZHANG X Z. Phys. Rev. C, 2009, 79: 041301(R)

[1]	B. S. Hu , Q. Wu , F. R. Xu . Ab initio many-body perturbation theory and no-core shell model. Chinese Physics C, 2017, 41(10): 104101. doi: 10.1088/1674-1137/41/10/104101
[2]	Jian-Guo Qin , Cai-Feng Lai , Li Jiang , Rong Liu , Xin-Wei Zhang , Bang-Jiao Ye , Tong-Hua Zhu . Method for measuring prompt γ-rays generated by D-T neutrons bombarding a depleted uranium spherical shell. Chinese Physics C, 2016, 40(1): 014001. doi: 10.1088/1674-1137/40/1/014001
[3]	H. Sadeghi , Sh. Nahidinejad , K. Bahraminejad . Structure of A=11 double-Λ hypernuclei studied withthree-body forces. Chinese Physics C, 2013, 37(5): 054101. doi: 10.1088/1674-1137/37/5/054101
[4]	H. Hassanabadi , A. A. Rajabi , H. Rahimov , S. Zarrinkamar . Half-life of bismuth isotopes predicted by the Coulomb and proximity potential model; a proposition for the spherical nuclei. Chinese Physics C, 2012, 36(10): 964-966. doi: 10.1088/1674-1137/36/10/008
[5]	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
[6]	WANG Fu-Yong , LI Lei , LUO Yan-An . Structure of the even-even ^78－84Kr isotopes within SD-pair shell model. Chinese Physics C, 2010, 34(2): 270-273. doi: 10.1088/1674-1137/34/2/023
[7]	WANG Qing , WANG Shun-Zhi , ZHANG Ying . New gauge forces beyond the standard model. Chinese Physics C, 2010, 34(2): 277-286. doi: 10.1088/1674-1137/34/2/025
[8]	YUAN Cen-Xi , QI Chong , XU Fu-Rong . Shell-model studies of the N=14 and 16 shell closures in neutron-rich nuclei. Chinese Physics C, 2009, 33(S1): 55-57. doi: 10.1088/1674-1137/33/S1/018
[9]	QI Chong , XU Fu-Rong . Shell-model studies of isomeric states in ^51,52,53Fe. Chinese Physics C, 2008, 32(S2): 112-115.
[10]	WANG Fu-Rong , MENG Xiang-Fei , LUO Yan-An , PAN Feng . Projected SD-pair shell model study for even-even Xe isotopes. Chinese Physics C, 2008, 32(S2): 109-111.
[11]	AN Hai-Xia , CAI Chong-Hai . Comparison between calculations of CDCC and spherical optical model with deuteron as projectile. Chinese Physics C, 2008, 32(S2): 99-101.
[12]	Pan Feng , Dai Lianrong . Magnetic Moments of Odd a Nuclei in q-Deformed Nuclear Shell Model. Chinese Physics C, 1996, 20(S2): 197-204.
[13]	Liu Yaoyang , Jiang Xiangdong , Zhou Jiange . A Quark Model Including Lepton Structure. Chinese Physics C, 1996, 20(S4): 339-351.
[14]	Zhang Changhua , Gu Jinnan . Shell Model Calculation for Light Neutron-Rich Nuclei. Chinese Physics C, 1996, 20(S2): 165-170.
[15]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.
[16]	Zheng Bo , Guo Shuohong . A Solvable 1 + 1 Dimensional U(l) gauge model. Chinese Physics C, 1990, 14(S1): 65-69.
[17]	Ma Zhongqi , Dai Anying . On the Hermitian of Hamiltonians of Radial Equations. Chinese Physics C, 1988, 12(S1): 27-36.
[18]	Lin Chunzhen , Wu Chongshi , Zeng Jinyan . Seniority and K-Structure of the Cranked Shell Model Wave Function (I) Even-Even Nuclei. Chinese Physics C, 1988, 12(S4): 415-424.
[19]	WANG Yuan , ZHUANG Qin . THE ENERGY SPECTRA OF 1f_7/2 SHELL NUCLEI WITH NONIDENTICAL NUCLEONS CONFIGURATION AND THE TWO BODY SPIN-ORBIT COUPLING FORCES. Chinese Physics C, 1985, 9(5): 618-621.
[20]	LIAO JI-ZHI . SHELL MODEL CALCULATIONS ON 1f_7/2 NUCLEI. Chinese Physics C, 1979, 3(6): 734-748.

Access

Get Citation

WANG Han-Kui, GAO Zao-Chun, CHEN Yong-Shou, GUO Jian-You, CHEN Yong-Jing and TU Ya. The structure of the spherical tensor forces in the USD and GXPF1A shell model Hamiltonians[J]. Chinese Physics C, 2011, 35(8): 753-757. doi: 10.1088/1674-1137/35/8/010

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-11-29
Revised: 1900-01-01

Article Metric

Article Views(2867)
PDF Downloads(479)
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

The structure of the spherical tensor forces in the USD and GXPF1A shell model Hamiltonians

Received Date: 2010-11-29
Accepted Date: 1900-01-01
Available Online: 2011-08-05

Abstract: The realistic shell model Hamiltonians, USD and GXPF1A, have been transformed from the particle-particle (normal) representation to the particle-hole representation (multipole-multipole) by using the known formulation in Ref. [1]. The obtained multipole-multipole terms were compared with the known spherical tensor forces, including the coupled ones. It is the first time the contributions of the coupled tensor forces to the shell model Hamiltonian have been investigated. It has been shown that some coupled-tensor forces, such as r²Y₂σ]¹, also give important contributions to the shell model Hamiltonian.