One-hole states in double magic nuclei

Abstract

We discuss the equation of motion 〈ψB^|[H,aα]|ψ0〉=(EB^−E0) 〈ψB^|aα|ψ0〉 in the subspace of states |ψB^〉=Σαβαaα|ψ0〉, where |ψ0〉 is the correlated ground state of a double magic nucleus. It is shown that this equation can be solved with high accuracy if some low-order correlation functions of the expS theory are known. Preliminary results are given for H3 and N15 for four different nucleon-nucleon interactions, i.e., the Reid-soft-core potential with and without the three-body correction of Blatt and McKellar, the Hamada-Johnston potential, and the de Toureill-Sprung supersoft-core potential. The connection with shell model states is discussed.