Many-body systems in the presence of the random interaction and the $J$ pairing interaction

Details Many-body systems in the presence of the random interaction and the $J$ pairing interaction Many-body systems in the presence of the random interaction and the $J$ pairing interaction

2004-05-26

arxiv.org/abs/nucl-th/0405071v1

Physics

Nuclear Physics

Nuclear Theory

7 pages, no figure (international conference in honor of Prof. PITTEL Stuart). AIP proceedings, in press

Scientific paper

10.1063/1.1805918

In this talk I shall discuss some regularities of many-body systems in the presence of random interactions and regularities of a single-$j$ shell for the $J$ pairing interaction which works only when two particles are coupled to spin $J$. I shall first explain an empirical rule to predict the spin $I$ ground state probability. Then I shall present some interesting results of a single-$j$ shell under the $J$ pairing interaction. Last I shall discuss some preliminary results of binding energies in the presence of random two-body interactions.

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