Odd- J Pairing in Nuclei

TL;DR

This paper explores a simplified nuclear interaction model focusing on odd J values, especially J=9+ in the g_{9/2} shell, revealing that certain coefficients can accurately approximate yrast state wave functions.

Contribution

It introduces a simplified interaction model with only odd J energies non-zero, highlighting the effectiveness of U9-j coefficients in approximating nuclear wave functions.

Findings

High overlaps can be misleading in wave function approximation.

Single sets of U9-j coefficients often provide accurate or exact yrast state wave functions.

Focusing on J= J_{max} simplifies understanding nuclear structure in specific shells.

Abstract

We point out a simplicity that arises when we use an interaction in which only an energy with odd J is non-zero. The emphasis is on J= J_{max} and in particular J=9+ in the g_{9/2} shell. It is noted that high overlaps can be deceptive. In many cases a single set of U9-j coefficients gives either an exact or a very good approximation to the wave function of a yrast state.