Zero mode quantization of multi-Skyrmions

TL;DR

This paper applies zero mode quantization to multi-Skyrmions with nucleon numbers four to nine and seventeen, comparing theoretical predictions with observed nuclear states.

Contribution

It extends zero mode quantization to higher nucleon numbers and analyzes the resulting nuclear state predictions against experimental data.

Findings

Ground states for N=4,6,8 match observed nuclei

Discrepancies for N=5,7,9,17 between predicted spins and experimental states

Provides insights into the limitations of Skyrmion quantization models

Abstract

A zero mode quantization of the minimal energy SU(2) Skyrmions for nucleon numbers four to nine and seventeen is described. This involves quantizing the rotational and isorotational modes of the configurations. For nucleon numbers four, six and eight the ground states obtained are in agreement with the observed nuclear states of Helium, Lithium and Beryllium. However, for nucleon numbers five, seven, nine and seventeen the spins obtained conflict with the observed isodoublet nuclear states.