The van der Waals Hexaquark Chemical Potential in Dense Stellar Matter. (arXiv:2306.13733v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Andrew_K/0/1/0/all/0/1">Keith Andrew</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Steinfelds_E/0/1/0/all/0/1">Eric V. Steinfelds</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Andrew_K/0/1/0/all/0/1">Kristopher A. Andrew</a>
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 particle
known as the hexaquark with quark content (uuddss). The hexaquark may have
internal structure, indicated by short range correlations, that allow for
non-color-singlet diquark and triquark configurations whose interactions will
change the magnitude of the chemical potential. In the multicomponent VDW
Equation of State (EoS), the quark-quark particle interaction terms are
sensitive to the QCD color factor, causing the pairing of these terms to give
different interaction strengths for their respective contributions to the
chemical potential. This results in a critical temperature near 163 MeV for the
color-singlet states and tens of MeV below this for various diquark and
triquark states. The VDW chemical potential is also sensitive to the number
density, leading to chemical potential isotherms that exhibit spinodal extrema,
which also depend on the internal hexaquark configurations. These extrema
determine regions of metastability for the mixed states near the critical
point. We use this chemical potential with the chemical potential modified TOV
equations to investigate the properties of hexaquark formation in cold compact
stellar cores in beta equilibrium. We find thresholds for the hexaquark layers
and changes in the maximum mass values that are consistent with observations
from high mass compact stellar objects such as PSR 09043 + 10 and GW 190814. In
general, we find that the VDW-TOV model has an upper stability mass and radius
bound for a chemical potential of 1340 MeV with a compactness C~0.2.
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 particle
known as the hexaquark with quark content (uuddss). The hexaquark may have
internal structure, indicated by short range correlations, that allow for
non-color-singlet diquark and triquark configurations whose interactions will
change the magnitude of the chemical potential. In the multicomponent VDW
Equation of State (EoS), the quark-quark particle interaction terms are
sensitive to the QCD color factor, causing the pairing of these terms to give
different interaction strengths for their respective contributions to the
chemical potential. This results in a critical temperature near 163 MeV for the
color-singlet states and tens of MeV below this for various diquark and
triquark states. The VDW chemical potential is also sensitive to the number
density, leading to chemical potential isotherms that exhibit spinodal extrema,
which also depend on the internal hexaquark configurations. These extrema
determine regions of metastability for the mixed states near the critical
point. We use this chemical potential with the chemical potential modified TOV
equations to investigate the properties of hexaquark formation in cold compact
stellar cores in beta equilibrium. We find thresholds for the hexaquark layers
and changes in the maximum mass values that are consistent with observations
from high mass compact stellar objects such as PSR 09043 + 10 and GW 190814. In
general, we find that the VDW-TOV model has an upper stability mass and radius
bound for a chemical potential of 1340 MeV with a compactness C~0.2.
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