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

Abstract

We explore the limit at which 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 (QQ)Q and quark-antiquark (Q Q) configurations. The gauge model is pure Yang-Mills SU(3) lattice gauge theory at coupling β = 6.0 and finite temperature. The diquark set up 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 (QQ)Q configuration exhibits an identical behavior to the quark-antiquark (Q Q) confining string. However, with the temperature increase to a small enough neighborhood of the critical point Tc, the gluonic symmetries between the two systems do not manifest neither at short nor intermediate distance scales. The comparison between the Polyakov loop correlators and the second moment of the action-density correlators for both system shows significant splitting. This suggests that subsisted baryonic decouplet states overlap with the mesonic spectrum. The baryonic junction's model for the potential and profile returns good fit to the numerical lattice data of the diquarkquark (QQ)Q arrangement. However, near the critical point the mesonic string displays fits with large deviations compared to fits of the corresponding (Q Q) data.