Decays of light mesons triggered by chiral chemical potential

TL;DR

This paper investigates how chiral imbalance affects light meson properties, revealing novel parity-violating decays, modifications to pion form factors, and velocity-dependent masses, with implications for heavy ion collision experiments.

Contribution

It introduces a meson effective Lagrangian approach to analyze chiral chemical potential effects, uncovering new parity-violating decay modes and form-factor contributions.

Findings

Discovery of spatial parity violating decays of scalar mesons.

Unusual parity-odd contributions to pion electromagnetic form-factor.

Pion effective masses depend on velocity and can vanish in motion.

Abstract

Light meson ( $\pi,\ \sigma,\ a_0$) properties in the environment with chiral imbalance are analyzed with the help of meson effective Lagrangian associated with QCD. New spatial parity violating decays of scalar mesons arise as a result of mixing of $\pi$ and $a_0$ mesons under influence of chiral charge density. The pion electromagnetic form-factor gets an unusual parity-odd contribution. Pion effective masses depend on their velocities and may vanish in flight. The possible determination of chiral chemical potential in heavy ion collisions based on above mentioned phenomena is discussed.