BCS/BEC crossover in quark matter and evolution of its static and dynamic properties from the atomic unitary gas to color superconductivity

Abuki, Hiroaki

doi:10.1016/j.nuclphysa.2007.03.134

Cited by 64 publications

(70 citation statements)

References 135 publications

(185 reference statements)

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“…H-matter condensates may thus exist at the center of neutron stars [13]. Neutrino superfluidity, as suggested by Kapusta [16], may also lead to Bose-Einstein condensation [17]. Zero spin bosons, described by real or complex scalar fields, are the simplest particles which can be considered in the framework of quantum field theory and general relativity.…”

Section: Introductionmentioning

confidence: 99%

Bose-Einstein condensate general relativistic stars

2012

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We analyze the possibility that due to their superfluid properties some compact astrophysical objects may contain a significant part of their matter in the form of a Bose-Einstein condensate.To study the condensate we use the Gross-Pitaevskii equation, with arbitrary non-linearity. By introducing the Madelung representation of the wave function, we formulate the dynamics of the system in terms of the continuity equation and of the hydrodynamic Euler equations. The nonrelativistic and Newtonian Bose-Einstein gravitational condensate can be described as a gas, whose density and pressure are related by a barotropic equation of state. In the case of a condensate with quartic non-linearity, the equation of state is polytropic with index one. In the framework of the Thomas-Fermi approximation the structure of the Newtonian gravitational condensate is described by the Lane-Emden equation, which can be exactly solved. The case of the rotating condensate is also discussed. General relativistic configurations with quartic non-linearity are studied numerically with both non-relativistic and relativistic equations of state, and the maximum mass of the stable configuration is determined. Condensates with particle masses of the order of two neutron masses (Cooper pair) and scattering length of the order of 10 − 20 fm have maximum masses of the order of 2M⊙, maximum central density of the order of 0.1 − 0.3 × 10 16 g/cm 3 and minimum radii in the range of 10 − 20 km. In this way we obtain a large class of stable astrophysical objects, whose basic astrophysical parameters (mass and radius) sensitively depend on the mass of the condensed particle, and on the scattering length. We also propose that the recently observed neutron stars with masses in the range of 2 − 2.4M⊙ are Bose-Einstein Condensate stars.PACS numbers: 67.85. Jk, 04.40.Dg, 95.30.Cq, 95.30.Sf

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Section: Introductionmentioning

confidence: 99%

Bose-Einstein condensate general relativistic stars

2012

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“…Thus, µ cri < µ CF L X is usually not satisfied and CFL+BEC does no longer emerge. Within the NJL framework, it has been noticed that Bose-Einstein condensation of diquarks occurs only if the coupling constant G d is sufficiently large [14,16,17].…”

Section: Application To the Bcs-bec Physicsmentioning

confidence: 99%

Bose—Einstein Condensation in Strong-Coupling Quark Color Superconductor near Flavor SU(3) Limit

Zhang

Ren

Zhang

2011

Commun. Theor. Phys.

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Near the flavor SU(3) limit, we propose an analytical description for color-flavorlocked-type Bardeen-Cooper-Schrieffer (BCS) phase in the Nambu Jona-Lasinio (NJL) model. The diquark behaviors in light-flavor and strange-flavor-involved channels and Bose-Einstein condensation (BEC) of bound diquark states are studied. When the attractive interaction between quarks is strong enough, a BCS-BEC crossover is predicted in the environment with color-flavor-locked pairing pattern. The resulting Bose-Einstein condensed phase is found to be an intergrade phase before the emergence of the previous-predicted BEC phase in two-flavor quark superconductor.

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“…Recent heavy-ion collision experiments at RHIC Brookhaven [1] have led to the insight that the quark-gluon plasma (QGP) at high temperatures behaves as a perfect fluid with a low viscosity to entropy ratio η/s ≈ 0.1 − 0.2 [2,3,5] which is very close to the KSS bound [6] for this number, 1/(4π). This strong deviation from the behavior of a gas of weakly interacting quarks and gluons is attributed to the occurence of mesonic bound states [2,3,4] or resonances [7,8,9] in the strongly coupled QGP (sQGP). It has been pointed out [10] that this situation in hot and dense QCD matter bears similarities with strongly coupled plasmas in other systems where bound state dissociation or Mott-Anderson delocalization [11] occurs since the effective coupling strength is modified by electronic screening and/or Pauli blocking effects.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, this transition became accessible to laboratory experiments with ultracold gases of fermionic atoms coupled via Feshbach resonances with a strength tunable by applying external magnetic fields [24,25,26,27,28]. The BEC-BCS crossover transition in quark matter is of particular theoretical interest due to the additional relativistic regime it offers [9,29,30].…”

Section: Introductionmentioning

confidence: 99%

Pions in the quark matter phase diagram

Zablocki¹,

Blaschke²,

Anglani³

et al. 2008

AIP Conference Proceedings

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Abstract. The relationship between mesonic correlations and quantum condensates in the quark matter phase diagram is explored within a quantum field theoretical approach of the Nambu and Jona-Lasinio (NJL) type. Mean-field values in the scalar meson and diquark channels are order parameters signalling the occurrence of quark condensates, entailing chiral symmetry breaking (χSB) and color superconductivity (2SC) in quark matter. We investigate the spectral properties of scalar and pseudoscalar meson excitations in the phase diagram in Gaussian approximation and show that outside the χSB region where the pion is a zero-width bound state, there are two regions where it can be considered as a quasibound state with a lifetime exceeding that of a typical heavy-ion collision fireball: (A) the high-temperature χSB crossover region at low densities and (B) the high-density color superconducting phase at temperatures below 100 MeV.

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BCS/BEC crossover in quark matter and evolution of its static and dynamic properties from the atomic unitary gas to color superconductivity

Cited by 64 publications

References 135 publications

Bose-Einstein condensate general relativistic stars

Bose-Einstein condensate general relativistic stars

Bose—Einstein Condensation in Strong-Coupling Quark Color Superconductor near Flavor SU(3) Limit

Pions in the quark matter phase diagram

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