Nuclear ground state properties of ¹⁶O by an extension of the Eden-Emery method

Abstract

A Brueckner theory calculation of the nuclear ground state properties of ¹⁶O is performed. The method employed is an extension of the calculations for Eden and Emery, and Eden, Emery and Sampanthar. The Bethe-Goldstone equation is solved using harmonic oscillator unperturbed single particle wave functions and the Eden-Emery approximation of the effect of the Exclusion Principle. The Eden-Emery method for uncoupling the Bethe-Goldstone is found inadequate in the presence of a strong tensor force, and in the present calculation a correct treatment is made of the coupling between the [cursive lowercase L] = j - l and [cursive lowercase L] = j + l equations. The coupled integro-differential equations are written in a form in which the Exclusion Principle operator becomes a separable kernel and the equations are reduced to a finite set of coupled differential equations. ...