Algebraic Solutions of an Extended Pairing Model for Well Deformed Nuclei

Feng Pan, V. G. Gueorguiev, and J. P. Draayer

Phys. Rev. Lett. 92, 112503 – Published 18 March 2004

Abstract

A Nilsson mean-field plus extended pairing interaction Hamiltonian with many-pair interaction terms is proposed. Eigenvalues of the extended pairing model are easy to obtain. Our 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, the three- and higher many-body interaction terms grow in importance. A numerical study of even-odd mass differences in the ${}^{154 - 171}{Yb}$ isotopes shows that the extended pairing model is applicable to well deformed nuclei.

Received 10 October 2003

DOI:https://doi.org/10.1103/PhysRevLett.92.112503

Authors & Affiliations

Feng Pan^1,2, V. G. Gueorguiev^2,*, and J. P. Draayer²

¹Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China
²Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA

^*On leave of absence from Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia 1784, Bulgaria.

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Vol. 92, Iss. 11 — 19 March 2004

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