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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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
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author Hiroyuki Tajima
Shoichiro Tsutsui
Takahiro M. Doi
Kei Iida
author_facet Hiroyuki Tajima
Shoichiro Tsutsui
Takahiro M. Doi
Kei Iida
author_sort Hiroyuki Tajima
collection DOAJ
description 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.
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spelling doaj.art-8b01b42f9f7f4a96bf602dd6440bc6612023-11-16T23:31:55ZengMDPI AGSymmetry2073-89942023-01-0115233310.3390/sym15020333Density-Induced Hadron–Quark Crossover via the Formation of Cooper TriplesHiroyuki Tajima0Shoichiro Tsutsui1Takahiro M. Doi2Kei Iida3Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, JapanQunaSys Inc., Tokyo 113-0001, JapanRIKEN iTHEMS, Wako 351-0198, JapanDepartment of Mathematics and Physics, Kochi University, Kochi 780-8520, JapanWe 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.https://www.mdpi.com/2073-8994/15/2/333hadron–quark crossoverCooper tripleneutron stars
spellingShingle Hiroyuki Tajima
Shoichiro Tsutsui
Takahiro M. Doi
Kei Iida
Density-Induced Hadron–Quark Crossover via the Formation of Cooper Triples
Symmetry
hadron–quark crossover
Cooper triple
neutron stars
title Density-Induced Hadron–Quark Crossover via the Formation of Cooper Triples
title_full Density-Induced Hadron–Quark Crossover via the Formation of Cooper Triples
title_fullStr Density-Induced Hadron–Quark Crossover via the Formation of Cooper Triples
title_full_unstemmed Density-Induced Hadron–Quark Crossover via the Formation of Cooper Triples
title_short Density-Induced Hadron–Quark Crossover via the Formation of Cooper Triples
title_sort density induced hadron quark crossover via the formation of cooper triples
topic hadron–quark crossover
Cooper triple
neutron stars
url https://www.mdpi.com/2073-8994/15/2/333
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AT keiiida densityinducedhadronquarkcrossoverviatheformationofcoopertriples