Meson Scattering Identifying the BCS-BEC Crossover at Quark Level

Details Meson Scattering Identifying the BCS-BEC Crossover at Quark Level Meson Scattering Identifying the BCS-BEC Crossover at Quark Level

2012-02-16

arxiv.org/abs/1202.3490v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 4 figures

Scientific paper

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 in QCD superfluid. We study $\pi$-$\pi$ scattering in a pion superfluid described by the Nambu--Jona-Lasinio model. We found that the amplitude of the scattering length drops down monotonously with decreasing isospin density and finally vanishes at the boundary of the phase transition. This indicates clearly a BCS-BEC crossover in the pion superfluid.

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