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

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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)

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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

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

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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.