Compact $N$-quark Hadron Mass Dependence on $N^4$: A Classical Field Picture

TL;DR

This paper proposes a classical field model suggesting that the mass of compact N-quark hadrons scales approximately with N^4, combining bag and flux-tube models to explain their mass spectrum and decay widths.

Contribution

Introduces the bag-tube oscillation model, a novel approach combining quark-bag and flux-tube concepts to predict N-quark hadron mass dependence on N^4.

Findings

Mass spectrum of N-quark hadrons scales with N^4.

Large decay widths may explain their experimental non-observation.

Model unifies aspects of bag and flux-tube theories.

Abstract

We give a hypothesis on the mass spectrum of compact $N$-quark hadron states in a classical field picture, which indicates that there would be a mass dependence on about $N^4$. We call our model "bag-tube oscillation model", which can be seemed as a kind of combination of quark-bag model and flux-tube model. The large decay widths due to large masses might be the reason why the compact $N$-quark hadrons still disappear so far.