Chinese Physics C > 2001, Vol. 25 > Issue(2): 134-138

A Hard-Core Bose-Hubbard Model for the Description of Pairing Interactions in Well-Deformed Nuclei

PAN Feng^,,
DAI Lian-Rong

Department of Physics, Liaoning Normal University, Dalian 116029, China2 Department of Physics & Astronomy, Louisiana State University, Baton Rouge 70803-4001, USA

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Abstract：
Exact algebraic solutions of a hard-core Bose-Hubbard model for the description of nearest orbit pairing interaction in well-deformed even-even nuclei were derived based on a simple algebraic routine. Excitation energies and the corresponding wavefunctions of the model were obtained. Further extensions to arbitrary spin cases and the corresponding Fermi-Hubbard model were also presented.

References

[1]

Fisher M P A, Weichman P B, Grinstein G et al. Phys. Rev., 1989, B40:546 2 Orr B G, Jaeger H M, Goldman A M et al. Phys. Rev. Lett., 1986, 56:3783 Hebard A F, Paalanen M A. Phys. Rev. Lett., 1990, 65:9274 van Oudenaarden A, Mooij J E. Phys. Rev. Lett., 1996, 76:49475 van der Zant H S J, Fritschy F C, Elion W J et al. Phys. Rev. Lett., 1992, 69:2971 6 Jaksch D, Bruder C, Cirac J Iet al. Phys. Rev. Lett., 1998, 81:3108 7 Molique H, Dudek J. Phys. Rev., 1997, C56: 1795 8 PAN FJ. Math. Phys., 1994, 34:5065 9 WU C S, ZENGJ Y. Phys. Rev., 1989, 39:66610 Richardson R W. Phys. Lett., 1963, 5:8211 Richardson R W. J. Math. Phys., 1965, 6:1034 12 Richardson R W, Sherman N. Nucl. Phys., 1964, 52:22113 PAN F, Draayer J P. Phys. Lett., 1998, B442:714 PAN F, Draayer J P. Ann. Phys. (NY), 1999, 271:12015 PAN F, Draayer J P, GUO L. J. Phys., 2000, A33:1597 16 Shastry B S, Jha S S, Singh V. Lect. Notes. Phys. Berlin: Springer–Verlag,1985. 24217 PAN F, CHEN J Q. J. Math. Phys., 1993, 35:4305; 4316 18 Chen J Q. Group Representation Theory For Physicists, Singapore: World Scientific, 1989

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PAN Feng and DAI Lian-Rong. A Hard-Core Bose-Hubbard Model for the Description of Pairing Interactions in Well-Deformed Nuclei[J]. Chinese Physics C, 2001, 25(2): 134-138.

PAN Feng and DAI Lian-Rong. A Hard-Core Bose-Hubbard Model for the Description of Pairing Interactions in Well-Deformed Nuclei[J]. Chinese Physics C, 2001, 25(2): 134-138. shu

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Received: 2000-04-29
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

A Hard-Core Bose-Hubbard Model for the Description of Pairing Interactions in Well-Deformed Nuclei

PAN Feng^,
DAI Lian-Rong

Corresponding author:PAN Feng,

Department of Physics, Liaoning Normal University, Dalian 116029, China2 Department of Physics & Astronomy, Louisiana State University, Baton Rouge 70803-4001, USA

Received Date:2000-04-29
Accepted Date:1900-01-01
Available Online:2001-02-05

Abstract:Exact algebraic solutions of a hard-core Bose-Hubbard model for the description of nearest orbit pairing interaction in well-deformed even-even nuclei were derived based on a simple algebraic routine. Excitation energies and the corresponding wavefunctions of the model were obtained. Further extensions to arbitrary spin cases and the corresponding Fermi-Hubbard model were also presented.