We study QCD with one flavor at finite baryon density. In the limit of very high baryon density the system is expected to be a color superconductor. In the case of one flavor, the order parameter is in a $\bar 3$ of color and has total angular momentum one. We show that in weak coupling perturbation theory, the energetically preferred phase exhibits ``color-spin-locking'', i.e. the color and spin direction of the condensate are aligned. We discuss the properties of this phase and argue that it shares important features of the hadronic phase at low density. In particular, we find an unbroken rotational symmetry, spin 3/2 quasiparticles, and an unusual mechanism for quark-anti-quark condensation. Our results are relevant to three flavor QCD in the regime where the strange quark mass is bigger than the critical value for color-flavor-locking. We find that the gaps in this case are on the order of one MeV.
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机译：我们在有限的重子密度下研究一种风味的QCD。在非常高的重子密度的极限下，该系统有望成为彩色超导体。在一种口味的情况下，order参数的颜色为$ \ bar 3 $，总角动量为1。我们表明，在弱耦合摄动理论中，在能量上优先的相表现出``自旋锁相''，即冷凝物的颜色和自旋方向对齐。我们讨论了该相的性质，并认为它在低密度下具有强子相的重要特征。特别是，我们发现完整的旋转对称性，自旋3/2准粒子以及夸克与反夸克凝聚的不寻常机理。我们的结果与三种口味的QCD有关，在这种情况下，奇怪的夸克质量大于锁定色香味的临界值。我们发现在这种情况下的差距约为1 MeV。
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