Asymptotic mass limit of large fully-heavy compact multiquarks

TL;DR

This study investigates the mass limits of large fully-heavy multiquark states using a constituent quark model and Monte Carlo methods, revealing they become stable and compact for six or more quarks.

Contribution

It provides the first detailed analysis of the asymptotic mass behavior of large fully-heavy multiquarks with up to 12 quarks using advanced computational techniques.

Findings

Mass per particle levels off for six or more quarks.

Fully-heavy multiquarks are compact structures.

Stability increases with larger quark numbers.

Abstract

The properties of fully-heavy arrangements including a number of quarks between 5 and 12 were calculated within the framework of a constituent quark model by using a diffusion Monte Carlo technique. We considered only clusters in which all the quarks had the same mass, and whose number of particles and antiparticles were adequate to produce color singlets. All the multiquarks were in their lowest possible values of $L^2$ and $S^2$ operators. This means that we considered only color-spin wavefunctions that were antisymmetric with respect to the interchange of {\em any} two quarks of the same type. We found that in both all-$c$ and all-$b$ multiquarks, the mass per particle levels off for arrangements with a number of quarks larger of equal than six. The analysis of their structure implies that the fully-heavy multiquarks are compact structures.