Symmetries in subatomic six-quark fermions

TL;DR

This paper investigates the potential existence of six-quark clusters within nuclear matter, analyzing their symmetries and implications for neutrinoless double-beta decay involving heavy neutrinos or exotic particles.

Contribution

It introduces a symmetry-based approach to explore six-quark clusters and their possible role in rare nuclear decay processes, expanding beyond traditional nuclear physics models.

Findings

Symmetry considerations suggest six-quark clusters could exist in nuclear medium.

Such clusters may influence neutrinoless double-beta decay mechanisms.

The study provides a theoretical framework for future experimental searches.

Abstract

The evidence of the existence of tetra-quark meson and penta-quark fermion systems has revived interest in the hunt of other multi-quark systems. We explore the possibility of six-quark cluster configurations with the two nucleon spin-isospin quantum numbers existing in the nuclear medium. The investigation of such clusters is feasible if one exploits all the symmetries involved, in particular orbital, color-spin $SU(6)_{cs}$ and isospin SU(2). We investigate whether such clusters contribute to neutrinoless double-beta decay mediated by heavy neutrinos or other exotic particles, since in conventional nuclear physics the relevant nuclear matrix elements are suppressed due to the presence of the nuclear hard core.