单味色超导中的Angular Momentum混合
Angular Momentum Mixing in Single Flavor Color Superconductivity with Transverse Pairing
摘要:
由于所有分波的单胶子交换所介导的配对势与QCD运行耦合常数的强度相等以及能隙方程的非线性,单味色超导中的非球形配对不能被限制在单一的非s波通道中,不同角动量之间会发生混合.本文研究了具有相反螺旋度夸克对的单味横向夸克对撞流中的角动量混合。我们发现所有非球对态的自由能都被角动量混合所降低。但是自由能下降的量在数值上是很小的。因此,遵守时间反演不变性的最稳定的配对状态仍然是球形CSL。
英文摘要:
Because of the equal strength of the pairing potential mediated by one-gluon exchange for all partial waves to the leading order QCD running coupling constant and the nonlinearity of the gap equation, the non-spherical pairing in single flavor color superconductivity(CSC) can not be restricted in a single non-s-wave channel and the mixing among different angular momenta will occur. In this paper, we examine the angular momentum mixing in single flavor CSC with transverse pairing, in which the pairing quarks have opposite helicity. We find that the free energy of all non-spherical pairing states are lowered by angular momentum mixing compared with that contain p-wave only. But the amount of the free energy drop is numerically small. Consequently the most stable pairing state that respect the time reversal invariance remains the spherical CSL.
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