The Most Negative and Most Positive Values of the Spin Operator for a Many Nucleon System

TL;DR

This paper calculates the theoretical maximum and minimum values of the spin operator in a many-nucleon system using LS coupling, revealing wider limits than single-particle models, and compares Nilsson and Schmidt models for isoscalar moments.

Contribution

It introduces a method to determine the extreme values of the spin operator in many-nucleon systems and compares different nuclear models for isoscalar moments.

Findings

Theoretical spin limits are broader than single-particle limits.

Nilsson and Schmidt models show differences in isoscalar moments.

The study enhances understanding of spin behavior in complex nuclei.

Abstract

Using the LS coupling we find the most positive and negative values of the spin operator sigma.These theoretical limits are much wider than the "empirical" single particle limits.A comparison of the Nilsson and Schmidt models is made for isoscalar moments.