Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model

Details Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model

2007-05-09

arxiv.org/abs/0705.1196v2

Phys.Lett.B657:143-147,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 3 figures

Scientific paper

10.1016/j.physletb.2007.08.071

We study the interplay of the chiral and the color superconducting phase transitions in an extended Nambu--Jona-Lasinio model with a multi-quark interaction that produces the nonlinear chiral-diquark coupling. We observe that this nonlinear coupling adds up coherently with the \omega^2 interaction to produce the chiral-color superconductivity coexistence phase or cancel each other depending on its sign. We discuss that large coexistence region in the phase diagram is consistent with the quark-diquark picture for the nucleon whereas its smallness is the prerequisite for the applicability of the Ginzburg-Landau approach.

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