Angular momentum I ground state probabilities of boson systems interacting by random interactions

Details Angular momentum I ground state probabilities of boson systems interacting by random interactions Angular momentum I ground state probabilities of boson systems interacting by random interactions

2003-04-14

arxiv.org/abs/nucl-th/0304040v1

Physical Review C68, 014322 (2003)

Physics

Nuclear Physics

Nuclear Theory

8 pages and 3 figures

Scientific paper

10.1103/PhysRevC.68.014322

In this paper we report our systematic calculations of angular momentum $I$ ground state probabilities ($P(I)$) of boson systems with spin $l$ in the presence of random two-body interactions. It is found that the P(0) dominance is usually not true for a system with an odd number of bosons, while it is valid for an even number of bosons, which indicates that the P(0) dominance is partly connected to the even number of identical particles. It is also noticed that the $P(I_{max})$'s of bosons with spin $l$ do not follow the 1/N ($N=l+1$, referring to the number of independent two-body matrix elements) relation. The properties of the $P(I)$'s obtained in boson systems with spin $l$ are discussed.

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