An Extended Pairing Model and Its Applications to Well-Deformed Nuclei

PAN Feng

Chinese Physics C> 2004, Vol. 28> Issue(12) : 1370-1372

An Extended Pairing Model and Its Applications to Well-Deformed Nuclei

PAN Feng ^,

Department of Physics,Liaoning Normal University,Dalian 116029,China2 Department of Physics and Astronomy,Louisiana State University,Baton Rouge,LA 70803,USA

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Abstract：
A Nilsson mean–field plus extended pairing interaction Hamiltonian with many–pair interaction terms is summarized. The investigation shows that one–and two–body interactions continue to dominate the dynamics for relatively small values of the pairing strength. As the strength of the pairing interaction grows, however,higher many–body interaction terms grow in importance. As an example, numerical fits to even–odd mass differences in the ^154—171YB isotopes shows that the new model is applicable to well–deformed nuclei.

References

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.Bardeen J, Cooper L N, Schrieffer J R. Phys. Rev. , 1957, 108: 11752. Ring P, Schuck P. The Nuclear Many-Body Problem, Springer-Verlag,Berlin, 19803. Ralph D C, Black C T, Tinkham M. Phys. Rev. Lett . , 1996, 78:40874. Richardson R W. Phys. Lett . , 1963, 3: 2775. Richardson R W, Sherman N. Nucl. Phys. , 1964, 52: 2216. PAN F, Draayer J P, Ormand W E. Phys. Lett . , 1998, B422: 17. PAN F, Draayer J P. Ann Phys. ( N. Y. ) , 1999, 271: 1208. Dukelsky J, Esebbag C, Schuck P. Phys. Rev. Lett. , 2001, 87:0664039. Dukelsky J, Esebbag C, Schuck P. Phys. Rev. Lett. , 2002, 88:06250110. PAN F, Draayer J P, GUO L. J. Phys. 2000, A33: 159711. PAN F, Draayer J P. J. Phys. , 2000, A33: 909512. Nix J R, Kratz K L. At Data Nucl. Data Tables, 1997, 66: 13113. Audi G et al. Nucl. Phys. , 1997, A624: 1

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PAN Feng. An Extended Pairing Model and Its Applications to Well-Deformed Nuclei[J]. Chinese Physics C, 2004, 28(12): 1370-1372.

PAN Feng. An Extended Pairing Model and Its Applications to Well-Deformed Nuclei[J]. Chinese Physics C, 2004, 28(12): 1370-1372. shu

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Received: 2003-11-29
Revised: 1900-01-01

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An Extended Pairing Model and Its Applications to Well-Deformed Nuclei

PAN Feng ^,

Corresponding author: PAN Feng,

Department of Physics,Liaoning Normal University,Dalian 116029,China2 Department of Physics and Astronomy,Louisiana State University,Baton Rouge,LA 70803,USA

Received Date: 2003-11-29
Accepted Date: 1900-01-01
Available Online: 2004-12-05

Abstract: A Nilsson mean–field plus extended pairing interaction Hamiltonian with many–pair interaction terms is summarized. The investigation shows that one–and two–body interactions continue to dominate the dynamics for relatively small values of the pairing strength. As the strength of the pairing interaction grows, however,higher many–body interaction terms grow in importance. As an example, numerical fits to even–odd mass differences in the ^154—171YB isotopes shows that the new model is applicable to well–deformed nuclei.