Effective spectral function of vector mesons via lifetime analysis

TL;DR

This paper reconstructs the effective spectral functions of the $ ho$ meson by analyzing its lifetime in different media using the SMASH transport model, revealing medium-induced broadening effects relevant for understanding chiral symmetry restoration.

Contribution

It introduces a lifetime-based method to determine the effective spectral function of the $ ho$ meson within a transport simulation, accounting for inelastic scatterings and medium effects.

Findings

Spectral function broadening correlates with system size and local density.

Thermalized system broadening aligns with other theoretical models.

Non-equilibrium effects influence the spectral function in full collision dynamics.

Abstract

Effective spectral functions of the $\rho$ meson are reconstructed by considering the lifetimes inside different media using the hadronic transport SMASH (Simulating Many Accelerated Strongly-interacting Hadrons). Due to inelastic scatterings, resonance lifetimes are dynamically shortened (collisional broadening), even though the employed approach assumes vacuum resonance properties. Analyzing the $\rho$ meson lifetimes allows to quantify an effective broadening of the decay width and spectral function, which is important in order to distinguish dynamical effects from additional genuine medium modifications to the spectral functions, indicating e.g. an onset of chiral symmetry restoration. The broadening of the spectral function in a thermalized system is shown to be consistent with other theoretical calculations. The effective $\rho$ meson spectral function is also presented for the dynamical evolution of heavy-ion collisions, finding a clear correlation of the broadening to system size, which is explained by an observed dependence of the width on the local hadron density. Furthermore, the difference in the results between the thermal system and full collision dynamics is explored, which may point to non-equilibrium effects.