Short-range correlations with pseudopotentials. VI

Abstract

Short-range pseudopotentials are required to be added to the realistic nucleon-nucleon interactions to achieve healing in the correlated wave functions in such a way as to produce zero-phase shift. The introduction of pseudopotentials leads to an effective interaction and an effective Hamiltonian. The differential cross sections for the two direct stripping nuclear reactions $^{28}\mathrm{Si}(d,p)^{29}\mathrm{Si}$ and $^{40}\mathrm{Ca}(d,p)^{41}\mathrm{Ca}$ have been calculated. In the present calculations, the effective interaction has been derived from the different realistic nucleon-nucleon potentials, Hamada-Johnston, Yale, Tabakin, and Reid potentials and also from the potential $A$ calculated by us. Our present theoretical calculations for the angular distributions have been fitted to the experimental data where good agreement is obtained. The spectroscopic factors extracted from our present work are found to be more reliable.NUCLEAR REACTIONS $^{28}\mathrm{Si}(d,p)$ $E=18.0$ MeV; $^{40}\mathrm{Ca}(d,p)$ $E=7.0$ MeV; measured $\ensuremath{\sigma}(\ensuremath{\theta})$; pseudopotentials; optical model parameters; DWBA analysis; extracted spectroscopic factors.