Non-relativistic spectrum of two-color QCD at non-zero baryon density

TL;DR

This study calculates the non-relativistic heavy quarkonium spectrum of two-color QCD at high baryon density using lattice methods, revealing three distinct physical regimes and the formation of heavy-light states.

Contribution

It provides the first lattice non-relativistic calculations of the heavy quarkonium spectrum in two-color QCD at non-zero density, identifying three physical regimes.

Findings

Identification of three distinct physical regimes: hadronic, quarkyonic, deconfined.

Observation of heavy-light $Qq$ state formation in baryonic medium.

Spectrum analysis in $S$- and $P$-wave channels across density regimes.

Abstract

The heavy quarkonium spectrum of Two Color QCD (QC$_2$D) at non-zero quark chemical potential $\mu$ and temperature $T$ with $\mu/T\gg1$ has been calculated in both $S$- and $P$-wave channels using a lattice non-relativistic formulation of QC$_2$D. As $\mu$ is varied, the quarkonium spectra reveal three separate regions, corroborating previous findings that there are three distinct physical regimes of QC$_2$D at low temperature and high baryon density: hadronic matter, quark/quarkyonic matter, and deconfined matter. The results are interpreted in terms of the formation of heavy-light $Qq$ states in the two-color baryonic medium.