Abstract
In this paper we study the monopole pairing correlation in states of semimagic nuclei under random interactions. We calculate overlaps between -pair wave functions and exact shell-model wave functions. No dominance of the -pair components is shown: In a single- shell states have random overlaps with the -pair wave function; in a multi- space the state has a small overlap with the -pair wave function, and this is particularly pronounced if the single-particle splitting is small and/or the spins of single-particle orbits are large. For the state in a multi- 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.
- Received 29 March 2017
- Revised 19 June 2017
DOI:https://doi.org/10.1103/PhysRevC.96.044306
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