A simple explanation of the absence of the spherical nuclei with the hidden-color states

TL;DR

This paper proposes that the absence of spherical nuclei with hidden-color states can be explained by the necessity of quark-gluon degrees of freedom, challenging traditional mean-field models and suggesting a complex internal structure.

Contribution

It introduces a hypothesis linking the non-existence of spherical nuclei to the presence of hidden-color states and the requirement of quark-gluon degrees of freedom at low energies.

Findings

Spherical nuclei do not exist according to the hypothesis.

Hidden-color states are essential for understanding nuclear structure.

Quark-gluon degrees of freedom are relevant at low-energy nuclear excitations.

Abstract

Inspired by the EMC effect, the Cd puzzle and the SU3-IBM, a hypothesis can be given for a nucleus, that only the nucleus itself is a trivial (0,0) representation of the SU(3) group, which leads to the simple conclusion that spherical nucleus does not exist and the spherical mean field is not allowed. The key conclusion is that the whole nucleus should have many hidden-color states, and the quark-gluon degrees of freedom are required even at the low-energy excitation of the nucleus.