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arXiv · 2302.00838

Nonlinear Regge trajectories and saturation of the Hagedorn spectrum

István Szanyi·Tamás Biró·László Jenkovszky·Vladyslav Libov
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Abstract

We argue that two seemingly different phenomena, namely the well-known saturation of the Hagedorn exponential distribution and the less familiar saturation of Regge trajectories at resonance masses $m\approx$ 2-2.5 GeV are related and have the same origin: quark deconfinement. We show that the slope of the real part of non-linear Regge trajectories determines the prefactor $f(m)$ in Hagedorn's resonance mass density distribution $\rho(m)$. While the Hagedorn distribution comes from statistics, Regge trajectories contain dynamics.

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István Szanyi, Tamás Biró, László Jenkovszky, Vladyslav Libov. 2023-02-02. Nonlinear Regge trajectories and saturation of the Hagedorn spectrum. https://doi.org/10.1103/physrevc.107.024904

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