Baryonic susceptibilities, quark-diquark models, and quark-hadron duality at finite temperature

Abstract

Fluctuations of conserved charges such as baryon number, electric charge and strangeness may provide a test for completeness of states in lattice QCD for three light flavors. We elaborate on the idea that the corresponding susceptibilities can be saturated with excited baryonic states with an underlying quark-diquark structure with a linearly confining interaction. Using Polyakov-loop correlators we show that in the static limit, the quark-diquark potential coincides with the quark-antiquark potential in marked agreement with recent lattice studies. We thus study in a quark-diquark model the baryonic fluctuations of electric charge, baryon number and strangeness: χ BQ , χ BB and χ BS ; by considering a realization of the hadron resonance gas model in the light flavor sector of QCD. These results have been obtained by using the baryon spectrum computed within a relativistic quark-diquark model, leading to an overall good agreement with the spectrum obtained with other quark models and with lattice data for the fluctuations.

Quark-diquark string tension, excited baryonic resonances and thermal fluctuations

“…Based on the considerations above, we can assume for the qD potential [29] V qD (r) = − τ r + σr + µ ,…”

Fractal structure in Yang-Mills fields and non extensivity

“…These phenomenological theories obtained great success in the first years after their proposals. An entire new line of research emerged from these results, and many Hadron Resonance Gas Models are still used today [22][23][24]. Despite the initial success, after the energy available for collisions in accelerators increased, it was soon realized that the exponential distribution predicted by the theory was in disagree-ment with experiments.…”