The Most Negative and the Most Positive Value of the Spin Operator for a Many Fermion System

TL;DR

This paper investigates the extremal values of the spin operator in many-fermion systems, revealing that in certain models, such as the Nilsson model with excited states, the spin can exceed traditional bounds.

Contribution

It introduces the possibility of spin operator values greater than one in the Nilsson model with excited intrinsic states, expanding understanding of spin behavior in fermion systems.

Findings

In the Nilsson model, spin values can surpass one with excited states.

The usual models restrict the spin operator to narrow ranges.

Excited intrinsic states allow for more extreme spin values.

Abstract

We consider the most negative and most positive value of the spin operator for a many nucleon system. In the usual Nilsson model and in the single nucleon model this value has a narrow range.In the Nilsson model with an excited intrinsic state we can get values of the spin operator greater than one.