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arXiv:nucl-th/0405072 · Nuclear Physics A

Ground state spin 0+ dominance of many-body systems with random interactions and related topics

A. Arima, Naotaka Yoshinaga, Yuming Zhao

Published Jul 1, 2003• 2 citations
arXivHTMLPDF
DOI
10.1016/s0375-9474(03)01371-x

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In this paper, we report our systematic calculations of angular momentum I ground state probabilities P(I)P(I)P(I) of boson systems with spin l in the presence of random two-body interactions. It is found that the P(0)P(0)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)P(0)P(0) dominance is partly connected to the even number of identical particles. It is also noticed that the P(Imax){P(I}_{\mathrm{max}})P(Imax​)'s of bosons with spin l do not follow the 1/N1/N1/N (N=l+1,(N=l+1,(N=l+1, referring to the number of independent two-body matrix elements) relation. The properties of the P(I)P(I)P(I)'s obtained in boson systems with spin l are discussed.
We investigate the spin structure of many-fermion systems with a spin-conserving two-body random interaction. We find a strong dominance of spin-0 ground states and considerable correlations between energies and wave functions of low-lying states with different spin, but no indication of pairing. The spectral densities exhibit spin-dependent shapes and widths, and depend on the particle density as well as on the relative strengths of the spin-0 and spin-1 couplings in the two-body random matrix. The spin structure of low-lying states can largely be explained analytically.