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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MDPI AG
2023-01-01
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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. |
first_indexed | 2024-03-11T08:05:02Z |
format | Article |
id | doaj.art-8b01b42f9f7f4a96bf602dd6440bc661 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-11T08:05:02Z |
publishDate | 2023-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
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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