Nuclear Shell Structure Evolution Theory

TL;DR

This paper introduces a nuclear evolution equation based on the self-similar shell model, explaining nuclear structure evolution from gas to liquid states and addressing the spin-orbit interaction energy problem.

Contribution

It proposes a new nuclear evolution equation and a self-similar shell model that unify various nuclear models and solve the spin-orbit interaction issue.

Findings

Nuclear evolution from gas to liquid states described by NEE

Self-similar shell model explains negative harmonic oscillation in nuclei

Solution to the long-standing spin-orbit interaction problem

Abstract

The Self-similar-structure shell model (SSM) comes from the evolution of the conventional shell model (SM) and keeps the energy level of SM single particle harmonic oscillation motion. In SM, single particle motion is the positive harmonic oscillation and in SSM, the single particle motion is the negative harmonic oscillation. In this paper a nuclear evolution equation (NEE) is proposed. NEE describes the nuclear evolution process from gas state to liquid state and reveals the relations among SM, SSM and liquid drop model (DM). Based upon SSM and NEE theory, we propose the solution to long-standing problem of nuclear shell model single particle spin-orbit interaction energy . We demonstrate that the single particle motion in normal nuclear ground state is the negative harmonic oscillation of SSM[1][2][3][4] Key words: negative harmonic oscillation, nuclear evolution equation, self-similar shell model