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arXiv · 1610.00426

Vector meson condensation in a pion superfluid

Tomas Brauner·Xu-Guang Huang
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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.

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Tomas Brauner, Xu-Guang Huang. 2016-10-03. Vector meson condensation in a pion superfluid. https://doi.org/10.1103/physrevd.94.094003

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