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arXiv · 1601.05641

Partial Conservation Law in a Schematic Single j Shell Model

Wesley Pereira·Ricardo Garcia·Larry Zamick·Alberto Escuderos·Kai Neergård
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Abstract

We report the discovery of a partial conservation law obeyed by a schematic Hamiltonian of two protons and two neutrons in a j shell. In our Hamiltonian the interaction matrix element of two nucleons with combined angular momentum J is linear in J for even J and constant for odd J. It turns out that in some stationary states the sum J_p + J_n of the angular momenta J_p and J_n of the proton and neutron pairs is conserved. The energies of these states are given by a linear function of J_p + J_n. The systematics of their occurrence is described and explained.

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Wesley Pereira, Ricardo Garcia, Larry Zamick, Alberto Escuderos, Kai Neergård. 2016-01-21. Partial Conservation Law in a Schematic Single j Shell Model. https://doi.org/10.1142/s0218301317400213

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