Neutrino processes in the $K^0$ condensed phase of color flavor locked quark matter

Abstract

We study weak interactions involving Goldstone bosons in the neutral kaon condensed phase of color flavor locked quark matter. We calculate the rates for the dominant processes that contribute to the neutrino mean free p ath and to neutrino production. A light $K^{+}$ state, with a mass ${\tilde{m}}_{K^{+}}\propto (\Delta /\mu )(\Delta /m_s)(m_d-m_u)$, where $\mu$ and $\Delta$ are the quark chemical potential and superconducting gap respectively, is shown to play an important role. We identify unique characteristics of weak interaction rates in this novel phase and discuss how they might influence neutrino emission in core collapse supernova and neutron stars.

arXiv comment21 pages, 4 figures

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• Shear viscosity from kaon condensation in color-flavor-locked quark matter
• Quark Nugget Dark Matter: No contradictions with neutrino flux constraints
• Quark description of the Nambu-Goldstone bosons in the color-flavor locked phase
• DAMA/LIBRA annual modulation and Axion Quark Nugget Dark Matter Model
• Collective excitations in a superfluid of color-flavor locked quark matter
• Bose-Einstein condensation in strong-coupling quark color superconductor near flavor SU(3) limit
• Formation of Gapless Phases of $K^0$ Condensed Color-Flavor Locked Superconducting Quark Matter