Effect of Coriolis Force on Diffusion of D Meson

TL;DR

This paper investigates how the Coriolis force influences the spatial diffusion of D mesons in a rotating hadron resonance gas, revealing anisotropic diffusion effects relevant to heavy ion collision environments.

Contribution

It extends the kinetic theory framework to include the Coriolis force in a rotating hadronic medium, providing new insights into anisotropic D meson diffusion.

Findings

Diffusion becomes anisotropic due to rotation.

Coriolis force affects the spatial diffusion coefficients.

The study offers potential phenomenological signatures.

Abstract

We have attempted to calculate and estimate the spatial diffusion coefficients of D meson through rotating hadron resonance gas, which can be produced in the late stage of peripheral heavy ion collisions. Employing the framework of kinetic theory in relaxation time approximation, and using Einstein's diffusion relation, one can express the spatial diffusion coefficients of D meson as a ratio of its conductivity to its susceptibility. Here, we have tuned D meson relaxation time from the knowledge of earlier works on its spatial diffusion estimations, and then we have extended the framework for the finite rotation picture of hadronic matter, where only the effect of Coriolis force is considered. Our study also revealed the anisotropic nature of diffusion in the presence of rotation with future possibilities of phenomenological signature.