Momentum distributions and spectroscopic factors of doubly-closed shell nuclei in correlated basis function theory

Abstract

The momentum distributions, natural orbits, spectroscopic factors and quasi-hole wave functions of the C12, O16, Ca40, Ca48, and Pb208 doubly closed shell nuclei, have been calculated in the framework of the Correlated Basis Function theory, by using the Fermi hypernetted chain resummation techniques. The calculations have been done by using the realistic Argonne v8' nucleon-nucleon potential, together with the Urbana IX three-body interaction. Operator dependent correlations, which consider channels up to the tensor ones, have been used. We found noticeable effects produced by the correlations. For high momentum values, the momentum distributions show large enhancements with respect to the independent particle model results. Natural orbits occupation numbers are depleted by about the 10\% with respect to the independent particle model values. The effects of the correlations on the spectroscopic factors are larger on the more deeply bound states.

arXiv commentModified version of the previous paper (there are new figures). The paper has been accepted for publication in Physical Review C

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• Short-range correlation effects on the nuclear matrix element of neutrinoless double-$\beta$ decay
• Short-range correlations and momentum distributions in mirror nuclei 3H and 3He
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