Abstract
NCQ scaling of elliptic flow is studied in a non-equilibrium hadronization and freeze-out model from ideal, deconfined and chirally symmetric Quark Gluon Plasma (QGP), to final non-interacting hadrons. In this transition the quarks gain constituent quark mass while the background Bag-field breaks up. The constituent quarks then recombine into simplified hadron states, while chemical, thermal and flow equilibrium break down. Then the resulting temperatures and flow velocities of baryons and mesons will be different. In a simplified model, we reproduce the constituent quark number scaling.
Highlights
The elliptic flow is characterized by the second coefficient of the Fourier expansion of the momentum distribution, v2
It was found [1] that the v2 parameter as a function of the transverse momentum, p⊥, scales with the number of constituent quarks, ncq, in the detected hadron: if the v2(p⊥) curves are re-scaled according to the constituent quark number (NCQ), so v2/ncq is plotted as function of p⊥/ncq for each type of hadron, the curves will coincide
This experimentally found NCQ scaling law indicates that the elliptic flow develops before the quarks recombine into hadrons
Summary
The elliptic flow is characterized by the second coefficient of the Fourier expansion of the momentum distribution, v2. The mass change of the quarks starts in the initial QGP and we estimate the final boundary where the FD stage of the evolution ends, with given constituent quark masses In this model, a gas of quarks and anti-quarks expands in a background field of energy density, B. EPJ Web of Conferences chiral symmetry breaking starts and the quarks gain mass. Their mass is calculated as function of the temperature and density. This process can be considered as a simple representation of the chiral symmetry breaking and deconfinement in a dynamical transition crossing the Quarkyonic phase [4]. The v2 parameter is determined using two- and three-source models of the elliptic flow and the particle distributions obtained from the hadronization model
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