Meson Scattering in a Pion Superfluid

Abstract

Instead of the fermion-fermion scattering which identifies the BCS-BEC crossover in cold atom systems, boson-boson scattering is measurable and characterizes the BCS-BEC crossover at quark level. We study $\pi$-$\pi$ scattering in a pion superfluid described by the Nambu--Jona-Lasinio model. We found that the scattering amplitude drops down monotonically with decreasing isospin density and finally vanishes at the boundary of the phase transition. This indicates a BCS-BEC crossover in the pion superfluid.

5 pages, 3 figures

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Cited by in corpus (6)

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• Structure of Compact Stars in Pion Superfluid Phase
• Quark-antiquark Scattering Phase Shift and Meson Spectral Function in Pion Superfluid
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Magnetic field effect on pion superfluid
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space