Classification of color superconductivity by one-gluon exchange helicity amplitudes and renormalization group equations

N3AS-25-015

Classification of color superconductivity by one-gluon exchange helicity amplitudes and renormalization group equations

Yuki Fujimoto.
.

Abstract

Quark matter at high baryon density exhibits diverse pairing patterns classified by color, flavor, and angular momentum quantum numbers. We compute one-gluon exchange (OGE) helicity amplitudes and introduce a nonrelativistic classification of the pairing channel, justified by the channel decomposition in a Lorentz-noninvariant medium and the decoupling of renormalization group flows at leading order. We find the new attractive channel in OGE; the medium effects can render the vacuum-repulsive color \boldsymbol{6} channel attractive in the spin-triplet sector. For color \boldsymbol{\bar{3}} with antisymmetric flavor, the dominant pairing is {}^1S_0, while for symmetric flavor the same-helicity ^1P_1 prevails over ^3S_1, revising the conventional single-flavor picture. With a mismatch of the Fermi momenta, ^1S_0 channel, leading to color-flavor locked or two-flavor color superconductor, remains most stable when the separation is small, and the color-spin locked pairing becomes favored as the mismatch gets large. We suggest there are possible quark-hadron continuity in certain cases as expected in the literature.

Associated Fellows