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We explore the chemical potential of a QCD-motivated van der Waals (VDW)phase change model for the six-quark color-singlet, strangeness S=-2 particleknown as the hexaquark with quark content (uuddss). The hexaquark may haveinternal structure, indicated by short range correlations, that allow fornon-color-singlet diquark and triquark configurations whose interactions willchange the magnitude of the chemical potential. In the multicomponent VDWEquation of State (EoS), the quark-quark particle interaction terms aresensitive to the QCD color factor, causing the pairing of these terms to givedifferent interaction strengths for their respective contributions to thechemical potential. This results in a critical temperature near 163 MeV for thecolor-singlet states and tens of MeV below this for various diquark andtriquark states. The VDW chemical potential is also sensitive to the numberdensity, leading to chemical potential isotherms that exhibit spinodal extrema,which also depend on the internal hexaquark configurations. These extremadetermine regions of metastability for the mixed states near the criticalpoint. We use this chemical potential with the chemical potential modified TOVequations to investigate the properties of hexaquark formation in cold compactstellar cores in beta equilibrium. We find thresholds for the hexaquark layersand changes in the maximum mass values that are consistent with observationsfrom high mass compact stellar objects such as PSR 09043 + 10 and GW 190814. Ingeneral, we find that the VDW-TOV model has an upper stability mass and radiusbound for a chemical potential of 1340 MeV with a compactness C~0.2.

The van der Waals Hexaquark Chemical Potential in Dense Stellar Matter