Abstract
The uniform model for the nuclear pairing-force problem is extended to take into account the effect of fluctuations in nucleon orbital level densityρ and in pairing matrix elementsG vv′. Simple formulas for the average dependence of level density on energy are presented, and alternative ways of estimating effects of shell bunching on the pairing correlation are derived. It is argued also that the pairing constantG might be systematically overestimated in the usual BCS numerical calculations; a semiconstant pairing force with diagonal elements larger than off-diagonal is thus suggested.
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We wish to thank Dr.Gordon Struble for helpful discussions. This work was supported by a grant from the U.S. Atomic Energy Commission.
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Rasmussen, J.O., Ma, C.W. On the influence of shell structure and matrix element fluctuations on the pairing correlation in nuclei. Z. Physik 202, 182–189 (1967). https://doi.org/10.1007/BF01331208
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DOI: https://doi.org/10.1007/BF01331208