Abstract

We investigate mesonic condensation in isospin matter under rotation. Using the two-flavor NJL effective model in the presence of global rotation, we demonstrate two important effects of 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 plane where the three distinct phases, corresponding to the -dominated regions, respectively, are separated by a second-order line at low isospin chemical potential as well as a first-order line at high rotation and are further connected at a tri-critical point.

Highlights

  • There have been rapidly growing interests in understanding the properties and phase structures of matter under extreme fields like magnetic field or global rotation [1, 2]

  • One interesting phenomenon in isospin matter is pion condensation [46,47,48,49,50,51]: a chiral σ condensate at low isospin density changes into a pion condensate at high isospin density

  • We have investigated the mesonic condensation in isospin matter under rotation

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Summary

Mesonic Condensation in Isospin Matter under Rotation

We investigate the mesonic condensation in isospin matter under rotation. A new phase diagram for isospin matter under rotation is mapped out on the ω − μI plane where three distinctive phases, corresponding to σ, π, ρ 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

INTRODUCTION
ROTATIONAL SUPPRESSION OF PION CONDENSATION
Dashed:π
ENHANCED RHO CONDENSATION UNDER ROTATION
CONCLUSION
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