Strings of diquark-quark (QQ)Q baryon before phase transition

TL;DR

This study compares the static potential and energy-density correlators of diquark-quark and quark-antiquark systems in lattice gauge theory, revealing similarities at low temperatures but notable differences near the critical temperature.

Contribution

It provides a detailed numerical comparison of diquark-quark and quark-antiquark configurations, showing how their string-like behavior converges or diverges near the phase transition.

Findings

Diquark-quark and quark-antiquark strings behave similarly at low temperatures.

Near the critical temperature, differences in potential and energy density become significant.

Baryonic states overlap with mesonic spectrum, especially near phase transition.

Abstract

We explore the limit at which the effective baryonic Y-string model of the junction approaches the mesonic stringlike behavior. We calculate and compare the numerical values of the static potential and energy-density correlators of diquark-quark and quark-antiquark configurations. The gauge model is pure Yang-Mills $SU(3)$ lattice gauge theory at coupling $\beta=6.0$ and finite temperature. The diquark setup is approximated as two quarks confined within a sphere of radius $0.1$ fm. The lattice data of the potential and energy show that the string binding the diquark-quark configuration displays an identical behavior to the quark-antiquark confining string. However, with the temperature increase to a small enough neighborhood of the critical point $T_{c}$, the gluonic similarities between the two systems do not manifest neither at short nor intermediate distance scales $R<1.0$ fm. The comparison between the potential and the second moment of the action-density correlators for both systems shows significant splitting. This suggests that subsisted baryonic decoupled states overlap with the mesonic spectrum. The baryonic junction's model for the potential and the profile returns a good fit to the numerical lattice data of the diquark-quark arrangement. However, near the critical point, the mesonic string displays large deviations compared to fits of the corresponding quark-antiquark data.