Cooper triples in attractive three-component fermions: Implication for hadron-quark crossover

Tajima, Hiroyuki; Tsutsui, Shoichiro; Doi, Takahiro; Iida, Kei

doi:10.1103/physrevresearch.4.l012021

Cited by 13 publications

(11 citation statements)

References 90 publications

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“…In the case of QCD, we recall again that such a three-body state should be kept due to the SU(3) gauge invariance. These overlapped three-body states in medium are similar to Cooper triples, which are the three-body counterpart of Cooper pairs predicted in the context of cold atomic physics [37][38][39][40]42]. The Cooper triple state does not necessarily form a condensate (however, note Ref.…”

Section: Introductionmentioning

confidence: 63%

“…To understand a non-trivial state of matter in the Fermi-degenerate state with three-body correlations, one may borrow the knowledge of the BCS-BEC crossover physics well established in cold-atom communities. In this regard, just as Cooper pairs are formed in the BCS side of the density-induced BEC-BCS crossover [36], one may imagine its three-body counterpart, that is, a Cooper triple [37][38][39][40][41][42], in a dense Fermi-degenerate regime but with non-negligible three-body correlations.…”

Section: Introductionmentioning

confidence: 99%

“…The Cooper triple state does not necessarily form a condensate (however, note Ref. [45]), but resulting three-body correlations can modify the equation of state substantially [40,46]. In this paper, motivated by the recent astronomical observations of compact stars as well as the theoretical progress in the in-medium three-body correlations in cold atomic systems, we discuss the possible scenario of the density-induced hadron-quark crossover accompanied by the formation of Cooper triples using a simplified toy model with threequark attractive interaction responsible for the baryon formation.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2023

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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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Section: Introductionmentioning

confidence: 63%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2023

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“…To investigate the stability against the three-body clustering in quantum many-body systems, we need to consider the in-medium three-body problem. For such a purpose, the generalized Cooper problem has been applied to cluster states consisting of more than two particles, such as Cooper triples [24][25][26][27] or even Cooper quartets [28][29][30][31]. The investigation of the fate of such higher-order clustering is also a charming topic in various fields.…”

Section: Introductionmentioning

confidence: 99%

“…Physically, while the zero center-of-mass three-body state with C 3 symmetry in the momentum space near the Fermi surface (i.e., Cooper triple) can be realized in two and three dimensions [24][25][26]44], it is not the case in the one-dimensional geometry, where at least one of three fermions should have the momentum away from k F . However, it is interesting to see such a decrease of the fermion-dimer repulsion in the intermediate-coupling regime, implying the possibility of in-medium three-body bound state with zero or nonzero center-of-mass momenta in the presence of even a small three-body attraction [27,45].…”

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confidence: 99%

Stability against three-body clustering in one-dimensional spinless p-wave fermions

Guo¹,

Tajima²

2022

Preprint

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We theoretically investigate in-medium two-and three-body correlations in one-dimensional spinless fermions with attractive two-body p-wave interaction. By investigating the variational problem of two-and three-body states above the Fermi sea, we elucidate the fate of the in-medium two-and three-body cluster states. The one-dimensional system with the strong p-wave interaction is found to be stable against the formation of three-body clusters even in the presence of the Fermi sea, in contrast to higher-dimensional systems that suffer the strong three-body loss associated with the trimer formation.

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Probe for bound states of SU(3) fermions and colour deconfinement

et al. 2023

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Fermionic artificial matter realized with cold atoms grants access to an unprecedented degree of control on sophisticated many-body effects with an enhanced flexibility of the operating conditions. Here, we consider three-component fermions with attractive interactions to study the formation of complex bound states, whose nature goes beyond the standard fermion pairing occurring in quantum materials. Such systems display clear analogies with quark matter. We address the nature of the bound states of a three-component fermionic system in a ring-shaped trap through the persistent current. In this way, we demonstrate that we can distinguish between color superfluid and trionic bound states. By analyzing finite temperature effects, we show how finite temperature can lead to the deconfinement of bound states. For weak interactions, the deconfinement occurs because of scattering states. In this regime, the deconfinement depends on the trade-off between interactions and thermal fluctuations. For strong interactions the features of the persistent current result from the properties of a suitable gas of bound states.

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Cooper triples in attractive three-component fermions: Implication for hadron-quark crossover

Cited by 13 publications

References 90 publications

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

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

Stability against three-body clustering in one-dimensional spinless p-wave fermions

Probe for bound states of SU(3) fermions and colour deconfinement

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