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

摘要

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.