Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter

Эберт, Д.; Klimenko, K. G.; Yudichev, V. L.

doi:10.1103/physrevd.72.056007

Cited by 33 publications

(111 citation statements)

References 68 publications

(107 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We observe the remarkable fact that the 2SC condensate stabilizes the pion at T = 0 as a true bound state, although the pion mass exceeds by far the threshold 2m. This effect is due to a compensation of gapped and ungapped quark modes and has been discussed before by Ebert et al [35] for T = 0 only. Here we extend this study to the finite temperature case, where the pion obtains a finite width but is still a very good resonance.…”

Section: Epmentioning

confidence: 80%

See 1 more Smart Citation

Pions in the quark matter phase diagram

Zablocki¹,

Blaschke²,

Anglani³

et al. 2008

AIP Conference Proceedings

View full text Add to dashboard Cite

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.

show abstract

Section: Epmentioning

confidence: 80%

“…On the example of the pion we will explain the physics of the Mott transition. The detailed investigation of the quantized diquark fluctuations, which are also a prerequisite of the formation of baryons, will be given elsewhere [30,35,36].…”

Section: Scalar-pseudoscalar Mesons In a Superconducting Two-flavor Nmentioning

confidence: 99%

Pions in the quark matter phase diagram

Zablocki¹,

Blaschke²,

Anglani³

et al. 2008

AIP Conference Proceedings

View full text Add to dashboard Cite

show abstract

“…We observe the remarkable fact that the 2SC condensate stabilizes the pion at T = 0 as a true bound state, although the pion mass exceeds by far the threshold 2m. This effect is due to a compensation of gapped and ungapped quark modes and has been discussed before by Ebert et al [20] for T = 0 only. Here we extend this study to the finite temperature case, where the pion is still a very good resonance, but obtains a finite width.…”

Section: Gaussian Fluctuations: Bound and Scattering Statesmentioning

confidence: 80%

Bound states and superconductivity in dense Fermi systems

Blaschke

Zablocki

2008

Phys. Part. Nuclei

View full text Add to dashboard Cite

A quantum field theoretical approach to the thermodynamics of dense Fermi systems is developed for the description of the formation and dissolution of quantum condensates and bound states in dependence of temperature and density. As a model system we study the chiral and superconducting phase transitions in two-flavor quark matter within the NJL model and their interrelation with the formation of quark-antiquark and diquark bound states. The phase diagram of quark matter is evaluated as a function of the diquark coupling strength and a coexistence region of chiral symmetry breaking and color superconductivity is obtained at very strong coupling. The crossover between Bose-Einstein condensation (BEC) of diquark bound states and condensation of diquark resonances (Cooper pairs) in the continuum (BCS) is discussed as a Mott effect. This effect consists in the transition of bound states into the continuum of scattering states under the influence of compression and heating. We explain the physics of the Mott transition with special emphasis on role of the Pauli principle for the case of the pion in quark matter.

show abstract

“…To apply our result to a more realistic case of a quark star we should include the contribution of the strange quarks and take into account the electric and the color neutrality. It would be also interesting to study the masses of π and σ mesons in the 2SC phase using the dimensional regularization and to compare the results with those in the 2SC phase obtained in the extended NJL model with cut-off regularization [53]. Currently we are working on these issues.…”

Section: Discussionmentioning

confidence: 99%

High density quark matter in the Nambu–Jona-Lasinio model with dimensional versus cutoff regularization

et al. 2009

View full text Add to dashboard Cite

We investigate color superconducting phase at high density in the extended Nambu-Jona-Lasinio model for the two flavor quarks. Because of the non-renormalizability of the model, physical observables may depend on the regularization procedure, that is why we apply two types of regularization, the cut-off and the dimensional one to evaluate the phase structure, the equation of state and the relationship between the mass and the radius of a dense star. To obtain the phase structure we evaluate the minimum of the effective potential at finite temperature and chemical potential. The stress tensor is calculated to derive the equation of state. Solving the Tolman-Oppenheimer-Volkoff equation, we show the relationship between the mass and the radius of a dense star. The dependence on the regularization is found not to be small, interestingly, dimensional regularization predicts color superconductivity phase at rather large values of µ (in agreement with perturbative QCD in contrast to the cut-off regularization), in the larger temperature interval, the existence of heavier and larger quark stars.

show abstract

Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter

Cited by 33 publications

References 68 publications

Pions in the quark matter phase diagram

Pions in the quark matter phase diagram

Bound states and superconductivity in dense Fermi systems

High density quark matter in the Nambu–Jona-Lasinio model with dimensional versus cutoff regularization

Contact Info

Product

Resources

About