Nucleons pair shell model in M-scheme

Abstract

The nucleon pair shell model (NPSM) is casted into the so-called M-scheme for the cases with isospin symmetry and without isospin symmetry. The odd system and even system are treated on the same foot. The uncoupled commutators for nucleon-pairs, which are suitable for M-scheme, are given. Explicit formula of matrix elements in M-scheme for overlap, one-body operators, two-body operators are obtained. It is found that the $cpu$ time used in calculating the matrix elements in M-scheme is much shorter than that in the J-scheme of NPSM.

38 pages, 2 figures

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Cited by in corpus (7)

• Nucleon-pair approximation with matrix representation
• From deformed Hartree-Fock to the nucleon-pair approximation
• Recent progress in configuration-interaction shell model
• Nuclear states projected from a pair condensate
• The nucleon-pair approximation for nuclei from spherical to deformed regions
• Nucleon-pair truncation of the shell model for medium-heavy nuclei
• Exact sum rules with approximate ground states