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arXiv · 2211.14194

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

Hiroyuki Tajima·Shoichiro Tsutsui·Takahiro M. Doi·Kei Iida
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Abstract

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 $T$-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.

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Hiroyuki Tajima, Shoichiro Tsutsui, Takahiro M. Doi, Kei Iida. 2022-11-25. Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples. https://doi.org/10.3390/sym15020333

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