Some recent progress on quark pairings in dense quark and nuclear matter

TL;DR

This paper reviews recent advances in understanding quark pairings in dense quark and nuclear matter, highlighting developments in BCS-BEC crossover, baryon dynamics, Ginzburg-Landau theory, and collective modes over the past five years.

Contribution

It summarizes recent progress in theoretical descriptions of quark pairings, including novel insights into phase transitions and collective excitations in dense matter.

Findings

Analysis of BCS-BEC crossover in color superconductivity

Insights into baryon formation and dissociation processes

Development of Ginzburg-Landau theory for three-flavor dense matter

Abstract

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 $U_{A}$(1) anomaly, and the collective and Nambu-Goldstone modes for the spin-one CSC.