Density-Induced Hadron–Quark Crossover via the Formation of Cooper Triples

We discuss the hadron–quark crossover accompanied by the formation of Cooper triples (three-body counterpart of Cooper pairs) by analogy with the Bose–Einstein condensate to Bardeen–Cooper–Schrieffer crossover in two-component fermionic systems. Such a crossover is different from a phase transition,...

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Bibliographic Details
Main Authors: Hiroyuki Tajima, Shoichiro Tsutsui, Takahiro M. Doi, Kei Iida
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/2/333
Description
Summary:We discuss the hadron–quark crossover accompanied by the formation of Cooper triples (three-body counterpart of Cooper pairs) by analogy with the Bose–Einstein condensate to Bardeen–Cooper–Schrieffer crossover in two-component fermionic systems. Such a crossover is different from a phase transition, which often involves symmetry breaking. We calculate the in-medium three-body energy from the three-body <i>T</i>-matrix with a phenomenological three-body force characterizing a bound hadronic state in vacuum. With increasing density, the hadronic bound-state pole smoothly undergoes a crossover toward the Cooper triple phase where the in-medium three-body clusters coexist with the quark Fermi sea. The relation to the quarkyonic matter model can also be found in a natural manner.
ISSN:2073-8994