Phonon-particle coupling effects in odd-even double mass differences of magic nuclei

Abstract

A method is developed to consider the particle-phonon coupling (PC) effects in the problem of finding odd-even double mass differences (DMD) of magic nuclei within the approach starting from the free N Npotential. Three PC effects are taken into account, the phonon induced interaction, the renormalization of the "ends" due to the Z-factors and the change of the single-particle energies. We use the perturbation theory in g 2 L , where gL is the vertex of the L-phonon creation. PC corrections to single-particle energies are found self-consistently with an approximate account for the so-called tadpole diagram. Results for double-magic 132 Sn and 208 Pb nuclei show that the PC corrections make agreement with the experimental data better.