Asymptotic Regge Trajectories of Non-strange Mesons

TL;DR

This paper investigates the asymptotic behavior of non-strange meson Regge trajectories, challenging previous beliefs about their width dependence, and connects the findings to heavy ion collision data.

Contribution

It demonstrates that for asymptotically linear Regge trajectories, heavy hadron widths do not depend linearly on mass, and extracts trajectory parameters consistent with heavy ion collision temperatures.

Findings

Heavy hadron widths do not linearly depend on mass.

Extracted Regge trajectory parameters match freeze-out temperatures.

Results align with temperatures observed in relativistic heavy ion collisions.

Abstract

We analyze the asymptotic behavior of Regge trajectories of non-strange mesons. In contrast to an existing belief, it is demonstrated that for the asymptotically linear Regge trajectories the width of heavy hadrons cannot linearly depend on their mass. Using the data on masses and widths of rho_J, omega_J, a_J and f_J mesons for the spin values J \leq 6, we extract the parameters of the asymptotically linear Regge trajectory predicted by the finite width model of quark gluon bags. As it is shown the obtained parameters for the data set B correspond to the cross-over temperature lying in the interval 170.9-175.3 MeV which is consistent with the kinetic freeze-out temperature of early hadronizing particles found in relativistic heavy ion collisions at and above the highest SPS energy.