Exact solution of spherical mean-field plus special orbit-dependent non-separable pairing model with multi non-degenerate j-orbits

Pan, Feng; Zhou, Dan; He, Yingwen; Yang, Siyu; Zhang, Yunfeng; Draayer, J. P.

doi:10.1016/j.physletb.2019.05.053

Title: Exact solution of spherical mean-field plus special orbit-dependent non-separable pairing model with multi non-degenerate j-orbits

Journal Article · Thu Aug 01 00:00:00 EDT 2019 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2019.05.053· OSTI ID:1527050

; Zhou, Dan; He, Yingwen; Yang, Siyu; Zhang, Yunfeng; Draayer, J. P.

Exact solution of spherical mean-field plus a special orbit-dependent non-separable pairing Hamiltonian with multi non-degenerate j-orbits, which is related to two previously known hyperbolic Gaudin models, is explored. It is shown that the Hamiltonian with suitable constraints on the pairing interaction parameters turns to be exactly solvable. The extended one-variable Heine-Stieltjes polynomials associated to the Bethe-Gaudin-Richardson ansatz equations of the solution for any number of pairs k are determined. It is shown that the pair excitation energies can be calculated more easily than those of the separable pairing model studied previously. As examples of the solution, pairing excitation energies with the number of pairs up to the half-filling in the ds-shell with 3 j-orbits and in the pf-shell with 4 j-orbits are presented and compared with those of the mean-field plus the general separable, the special separable, and the standard pairing models. It is shown that the pairing excitation energies of the model are close to those of the mean-field plus special separable pairing or general separable pairing model.

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Research Organization:: Louisiana State Univ., Baton Rouge, LA (United States); Texas A & M Univ., Commerce, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC); National Science Foundation (NSF)

Grant/Contract Number:: SC0005248; SC0009971; 11675071; 11375080; OIA-1738287; ACI-1713690

OSTI ID:: 1527050

Alternate ID(s):: OSTI ID: 1610827

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Vol. 795 Journal Issue: C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 5 works

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