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

Abstract

The momentum distributions, natural orbits, spectroscopic factors, and quasihole wave functions of the $^{12}\mathrm{C}$, $^{16}\mathrm{O}$, $^{40}\mathrm{Ca}$, $^{48}\mathrm{Ca}$, and $^{208}\mathrm{Pb}$ 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 ${v}_{8}^{'}$ 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 orbit occupation numbers are depleted by about 10% with respect to the independent particle model values. The effects of the correlations on the spectroscopic factors are larger on the most deeply bound states.