Deuteron distribution in nuclei and the Levinger's factor

Abstract

We compute the distribution of quasideuterons in doubly closed shell nuclei. The ground states of ${}^{16}$O and ${}^{40}$Ca are described in $ls$ coupling using a realistic hamiltonian including the Argonne $v_8^{\prime }$ and the Urbana IX models of two-- and three--nucleon potentials, respectively. The nuclear wave function contains central and tensor correlations, and correlated basis functions theory is used to evaluate the distribution of neutron-proton pairs, having the deuteron quantum numbers, as a function of their total momentum. By computing the number of deuteron--like pairs we are able to extract the Levinger's factor and compare to both the available experimental data and the predictions of the local density approximation, based on nuclear matter estimates. The agreement with the experiments is excellent, whereas the local density approximation is shown to sizably overestimate the Levinger's factor in the region of the medium nuclei.

26 pages, 8 figures, typeset using REVTeX

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