Theoretical description of nucleons paired correlations of even-even nuclei in the adiabatic three-particle model

Abstract

A hyperspherical adiabatic approach (HAA) has been suggested to find the energy spectrum of even-even atomic nuclei modelled by a spherically symmetric even-even core plus two valence nucleons in the external shell. The adiabatic three-particle model of nucleus for the case of the spherically symmetric and axially symmetric nucleus has been obtained. The so-called adiabatic three-particle model is based on the assumption on the separability of the motion of valence nucleons into the high-speed motion of nucleons over the angular variables and the adiabatic (slow-speed) motion of nucleons along the hyperradius R. The efficiency of the adiabatic approach is illustrated by the example of the numerical calculations of the energy spectrum of low-lying excited states of the even-even atomic nuclei 6He, 10Be, 14C, 16C, 18O, 18Ne, 42Ca, and 58Ni, which possess two valence nucleons in the shell.