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 nonlinear Regge trajectories determines the prefactor $f\left(m\right)$ in Hagedorn's resonance mass density distribution $\rho \left(m\right)$. While the Hagedorn distribution comes from statistics, Regge trajectories contain dynamics.

• Received 28 August 2022
• Revised 18 November 2022
• Accepted 21 December 2022

DOI:https://doi.org/10.1103/PhysRevC.107.024904

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Published by the American Physical Society