The unitary-model operator approach to structure in the 2s-1d shell

doi:10.1016/0375-9474(72)90709-9

Nuclear Physics A

Volume 198, Issue 2, 30 December 1972, Pages 561-590

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Abstract

Effective two-body interactions are obtained from three realistic nucleon-nucleon potentials with different core structures by the unitary-model operator method, and applications made to the ground state properties of doubly even N = Z nuclei by Hartree-Fock techniques. Structure calculations include determination of ground state binding energies, radii, energy levels for the single-particle states and deformations for the nuclei ¹⁶O, ²⁰Ne, ²⁴Mg, ²⁸Si, ³²S, and ⁴⁰Ca. It is found that the binding is strongly dependent on the choice of the ³S₁ healing distance for both the Yale and Reid effective two-body interactions. By varying this parameter, quantitative agreement for the binding with the experimental values can be achieved. The deformations found are smaller than empirically expected but are qualitatively correct.

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