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We compute the relaxation times for massive quarks and anti-quarks to aligntheir spins with the angular velocity in a rigidly rotating medium at finitetemperature and baryon density. The rotation effects are implemented using afermion propagator immersed in a cylindrical rotating environment. Therelaxation time is computed as the inverse of the interaction rate to producean asymmetry between the quark (anti-quark) spin components along and oppositeto the angular velocity. For conditions resembling heavy-ion collisions, therelaxation times for quarks are smaller than for anti-quarks. For semi-centralcollisions the relaxation time is within the possible life-time of the QGP forall collision energies. However, for anti-quarks this happens only forcollision energies $\sqrt{s_{NN}}\gtrsim 50$ GeV. The results are quantified interms of the intrinsic quark and anti-quark polarizations, namely, theprobability to build the spin asymmetry as a function of time. Our results showthat these intrinsic polarizations tend to 1 with time at different rates givenby the relaxation times with quarks reaching a sizable asymmetry at a fasterpace. These are key results to further elucidate the mechanisms of hyperonpolarization in relativistic heavy-ion collisions.

Relaxation time for the alignment between quark spin and angular velocity in a rotating QCD medium