Algebraic Solutions of an Extended Pairing Model for Well-Deformed Nuclei

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.

6 pages, 3 graphs, 1 table, revtex style

References in corpus (2)

• A Class of Exactly Solvable Pairing Models
• Electrostatic mapping of nuclear pairing

Cited by in corpus (7)

• Physical Significance of q Deformation and Many-Body Interactions in Nuclei
• The extended Heine-Stieltjes polynomials associated with a special LMG model
• New exact solutions of the standard pairing model for well-deformed nuclei
• Band theory in the context of the Hamilton-Jacobi formulation
• Application of the extended pairing model to heavy isotopes
• The Oblique Basis Method from an Engineering Point of View
• Challenges for Modeling Nuclear Structure: Are the Proton and Neutron Masses and A-body Interactions Relevant?