BEC–BCS Crossover in Strongly Interacting Matter

Zablocki, D.; Blaschke, D.; Röpke, G.

doi:10.1007/978-3-642-03953-9_7

Cited by 6 publications

(4 citation statements)

References 38 publications

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“…It is clearly seen that the masses of the πand ρ-meson stay almost constant when T < T c . Then, the pion mass increases and exceeds the mass of two constituent quarks at the Mott temperature T π Mott = 0.244 GeV, where the dissociation of the pion occurs (also called "soft deconfinement" [15]), which is analogous to the Mott effect in solid-state and plasma physics [24]. It can be seen that the σ → ππ decay is forbidden after T σ diss = 0.228 GeV, where Γ σππ drops to zero.…”

Section: Mesons At a Finite Temperature In The Nambu-jona-lasinio Modelmentioning

confidence: 97%

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Cancellation of the Sigma Mode in the Thermal Pion Gas by Quark Pauli Blocking

2023

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In this study, we calculate the pressure of the interacting pion gas using the Beth–Uhlenbeck approach to the relativistic virial expansion with Breit–Wigner phase shifts for the σ- and ϱ-meson resonances. The repulsive phase shift δ02 is taken from the quark interchange model of Barnes and Swanson, which is in very good agreement with the experimental data. In this work we show that the cancellation of the attractive (I = 0) and repulsive (I = 2) isospin channel contributions to the scalar ππ interaction in the low-energy region that is known for the vacuum phase shifts also takes place at a finite temperature. This happens despite the strong medium dependence of these phase shifts that enters our model by the temperature dependence of the σ-meson and constituent quark masses, because for these masses the relation Mσ(T)≈2mq(T) holds and the scattering length approximation is valid as long as the strong decay channel σ→ππ is open. Exploiting the Nambu–Jona-Lasinio model for describing the dynamical breaking of chiral symmetry in the vacuum and its restoration at a finite temperature, we justify with our approach that the σ-meson should be absent from the hadron resonance gas description at low temperatures because the above cancellation holds. However, since this cancellation breaks down in the vicinity of the hadronization transition, where due to chiral symmetry restoration the decay channel σ→ππ closes and the σ-meson becomes a good resonance, the latter should be included into the statistical model description of chemical freeze-out in heavy-ion collisions.

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Section: Mesons At a Finite Temperature In The Nambu-jona-lasinio Modelmentioning

confidence: 97%

“…where the factor 3/2 takes into account the isospin conservation and g σqq and g πqq are the coupling constants defined from Equation (24). The amplitude of the triangle vertex A σ→ππ is…”

Section: Mesons At a Finite Temperature In The Nambu-jona-lasinio Modelmentioning

confidence: 99%

Cancellation of the Sigma Mode in the Thermal Pion Gas by Quark Pauli Blocking

2023

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“…Consequently, they merge the continuum and become unbound -their spectral function changes from a delta-function (on-shell bound states) to a Breit-Wigner-type (off-shell, resonant scattering states). This phenomenon is the hadronic analogue [10] of the Mott-Anderson transition for electrons in solid state physics (insulator-conductor transition). It has been first introduced for the hadronic-to-quark-matter transition in [11].…”

Section: Extended Mott-hagedorn Resonance Gasmentioning

confidence: 97%

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Turko¹,

Blaschke²,

Prorok³

et al. 2012

Acta Phys. Pol. B Proc. Suppl.

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“…Nevertheless, there is a strong resonant two-particle correlation in the scattering state spectrum above the continuum edge. This is general for two-particle correlations in Fermi systems, e.g., excitons in an electron-hole plasma [3], hydrogen in a non-ideal electron-proton plasma [4], deuterons in nuclear matter [5], mesons and diquarks in quark matter [6,7].…”

Section: Introductionmentioning

confidence: 99%

Composite fermions in medium: Extending the Lipkin model

Liebing

Blaschke

2015

Phys. Part. Nuclei

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The role of phase space occupation effects for the formation of two-and threeparticle bound states in a dense medium is investigated within an algebraic approach suitable for systems with short-range interactions. It is shown that for two-fermion bound states due to the account of the exchange symmetry (phase space occupation) effect (Pauli blocking) in a dense medium the binding energy is reduced and vanishes at a critical density (Mott effect). For three-fermion bound states, within a Faddeev equation approach, the intermediate formation of pair correlations leads to the representation as a suitably symmetrized fermion-boson bound state. It is shown that the Bose enhancement of fermion pairs can partially compensate the Pauli blocking between the fermions. This leads to the general result obtained by algebraic methods: three-fermion bound states in a medium with high phase space occupation appear necessarily as Borromean states beyond the Mott density of the two-fermion bound state. 1

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BEC–BCS Crossover in Strongly Interacting Matter

Cited by 6 publications

References 38 publications

Cancellation of the Sigma Mode in the Thermal Pion Gas by Quark Pauli Blocking

Cancellation of the Sigma Mode in the Thermal Pion Gas by Quark Pauli Blocking

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Composite fermions in medium: Extending the Lipkin model

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