In this review article we give a brief overview on some recent progress in quark pairings in dense quark/nuclear matter mostly developed in the past five years.We focus on following aspects in particular:the BCS-BEC crossover in the CSC phase,the baryon formation and dissociation in dense quark/nuclear matter,the Ginzburg-Landau theory for three-flavor dense matter with UA(1) anomaly,and the collective and Nambu-Goldstone modes for the spin-one CSC.
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