Mesonic Condensation in Isospin Matter under Rotation

TL;DR

This paper studies how rotation affects mesonic condensation in isospin matter, revealing suppression of pion condensation and enhancement of rho condensation, leading to a new phase diagram with three distinct phases.

Contribution

It introduces a phase diagram for isospin matter under rotation, showing how rotation influences mesonic condensates and phase transitions using the NJL model.

Findings

Rotation suppresses scalar-channel condensates, especially pion condensation.

Rotation enhances rho condensation with vector-channel condensate.

A new phase diagram with three phases and critical points is mapped out.

Abstract

We investigate the mesonic condensation in isospin matter under rotation. Using the two-flavor NJL effective model under the presence of global rotation, we demonstrate two important effects of the rotation on its phase structure: a rotational suppression of the scalar-channel condensates, in particular the pion condensation region; and a rotational enhancement of the rho condensation region with vector-channel condensate. A new phase diagram for isospin matter under rotation is mapped out on the $\omega-\mu_I$ plane where three distinctive phases, corresponding to $\sigma$, $\pi$, $\rho$ dominated regions respectively, are separated by a second-order line at low isospin chemical potential and a first-order line at high rotation which are further connected at a tri-critical point.