Spontaneous Superfluid Current Generation in CFL at Nonzero Strange Quark Mass

Abstract

We find that for large enough strange quark mass, $m_s^2/4\mu \Delta >2/3(1-0.024),$ kaon condensed CFL phase of asymptotically dense 3 flavor quark matter is unstable with respect to spontaneous generation of currents of Nambu Goldstone bosons due to spontaneous breaking of baryon number symmetry and hypercharge symmetry in CFL$K^0$ ground state. The total baryon and hypercharge currents still vanish in the ground state. We find that CFL$K^0$ and the new state are separated by the first order phase transition.

13 pages, 2 figures

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