Asymptotic mass limit of large fully heavy compact multiquarks

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 L2 and S2 operators. Thus, we considered only color-spin wave functions that were antisymmetric with respect to the interchange of 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 the number of quarks larger than or equal to six. The analysis of their structure implies that the fully heavy multiquarks are compact structures.