General pairing interactions and pair truncation approximations for fermions in a single-j shell

Details General pairing interactions and pair truncation approximations for fermions in a single-j shell General pairing interactions and pair truncation approximations for fermions in a single-j shell

2003-05-30

arxiv.org/abs/nucl-th/0305095v3

Phys.Rev. C68 (2003) 044320

Physics

Nuclear Physics

Nuclear Theory

a latex text file and 2 figures, to be published

Scientific paper

10.1103/PhysRevC.68.044320

We investigate Hamiltonians with attractive interactions between pairs of fermions coupled to angular momentum J. We show that pairs with spin J are reasonable building blocks for the low-lying states. For systems with only a J = Jmax pairing interaction, eigenvalues are found to be approximately integers for a large array of states, in particular for those with total angular momenta I le 2j. For I=0 eigenstates of four fermions in a single-j shell we show that there is only one non-zero eigenvalue. We address these observations using the nucleon pair approximation of the shell model and relate our results with a number of currently interesting problems.

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