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Kaon Condensation and Enforced Charge Neutrality of the Color-Flavor Locked Phase

Youngman Kim·Dong-Pil Min·Mannque Rho
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Abstract

We investigate the influence of charged kaon condensation in hadronic sector on the formation of the electron-free charge neutral quark matter of equipartition of three light flavors, i.e., a phenomenon called ``enforced electrical neutrality" of the color-flavor locked (CFL) phase. We employ the chiral quark model which is assumed to be applicable, "bottom-up," toward chiral restoration while accessible to kaon condensation in the hadronic sector. Approaching "bottom-up" the high density regime is more appropriate in addressing the properties of compact stars than approaching "top-down" from asymptotic QCD. It turns out that the presence of hadronic kaon condensation makes the electron-free charge-neutral CFL phase energetically more favorable with a relatively small color-superconducting gap $Δ_0\sim 20$ MeV compared to $Δ_0\sim 70$ MeV required in the absence of such kaon condensation.

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Youngman Kim, Dong-Pil Min, Mannque Rho. 2001-10-17. Kaon Condensation and Enforced Charge Neutrality of the Color-Flavor Locked Phase. https://arxiv.org/abs/hep-ph/0110223

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