Vector meson condensation in a pion superfluid

Abstract

We revisit the suggestion that charged rho-mesons undergo Bose-Einstein condensation in isospin-rich nuclear matter. Using a simple version of the Nambu-Jona-Lasinio (NJL) model, we conclude that rho-meson condensation is either avoided or postponed to isospin chemical potentials much higher than the rho-meson mass as a consequence of the repulsive interaction with the preformed pion condensate. In order to support our numerical results, we work out a linear sigma model for pions and rho-mesons, showing that the two models lead to similar patterns of medium dependence of meson masses. As a byproduct, we analyze in detail the mapping between the NJL model and the linear sigma model, focusing on conditions that must be satisfied for a quantitative agreement between the models.

12 pages, 4 figures; v2: added references, matches published version

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Cited by in corpus (11)

• QCD phase diagram for nonzero isospin-asymmetry
• New class of compact stars: Pion stars
• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N${}_c$ limit of the NJL${}_4$ model
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• "Splitting" magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields
• Topological deconfinement transition in QCD at finite isospin density
• Quark, pion and axial condensates in three-flavor finite isospin chiral perturbation theory
• Do charged pions condense in a magnetic field with rotation?
• Emergent spin polarization from $\rho$ meson condensation in rotating hadronic matter
• Dense matter in a holographic hard-wall model of QCD