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Monopole pairing correlations with random interactions
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DOI：10.1103/PhysRevC.96.044306.png)
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In this paper we study the monopole pairing correlation in 0(+) states of semimagic nuclei under random interactions. We calculate overlaps between S-pair wave functions and exact shell-model wave functions. No dominance of the S-pair components is shown: In a single-j shell 0(+) states have random overlaps with the S-pair wave function; in a multi-j space the 0(1)(+) state has a small overlap with the S-pair wave function, and this is particularly pronounced if the single-particle splitting is small and/or the spins j of single-particle orbits are large. For the 0(1)(+) state in a multi-j space, the generalized seniority scheme and the seniority truncation of the shell model provide similar results. We study the odd-even staggering of one-neutron separation energies under random interactions. The odd-even staggering phenomenon survives in random samples where all the even members have spin-zero ground states but disappears in random samples where all the even members have spin-nonzero ground states.
Keyword:
NUCLEAR-STRUCTURE
RANDOM MATRICES
SHELL-MODEL
SPECTRA
CHAOS
SYSTEMS
PHYSICS
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期刊
IF:
3.4
论文数:
2.9W
被引数:
5.7W
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Regularities of low-lying states with random interactions in the fermion dynamical symmetry model.png)
PHYSICAL REVIEW C
PHYSICAL REVIEW CIF3.4
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