Chiral Condensates in Quark and nuclear Matter

Abstract

We present a novel treatment for calculating the in-medium quark condensates. The advantage of this approach is that one does not need to make further assumptions on the derivatives of model parameters with respect to the quark current mass. The normally accepted model-independent result in nuclear matter is naturally reproduced. The change of the quark condensate induced by interactions depends on the incompressibility of nuclear matter. When it is greater than 260 MeV, the density at which the condensate vanishes is higher than that from the linear extrapolation. For the chiral condensate in quark matter, a similar model-independent linear behavior is found at lower densities, which means that the decreasing speed of the condensate in quark matter is merely half of that in nuclear matter if the pion-nucleon sigma commutator is six times the average current mass of u and d quarks. The modification due to QCD-like interactions is found to slow the decreasing speed of the condensate, compared with the linear extrapolation.

12 pages, 7 figures, revtex4 style

References in corpus (18)

• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• A Precursor of Chiral Symmetry Restoration in the Nuclear Medium
• Thermodynamics, strange quark matter, and strange stars
• The quark condensate from K_{e_4} decays
• Mass formulas and thermodynamic treatment in the mass-density-dependent model of strange quark matter
• Vector Manifestation of the Chiral Symmetry
• Does one observe chiral symmetry restoration in baryon spectrum?
• Charge and critical density of strange quark matter
• Current mass dependence of the quark condensate and the constituent quark mass
• Nuclear Saturation with in-Medium Meson Exchange Interactions
• What does a change in the quark condensate say about restoration of chiral symmetry in matter?
• Sum rules, Regge trajectories, and relativistic quark models
• Low-energy Pion-nucleon Scattering
• Mass formulae and strange quark matter
• Quark condensate in nuclear matter based on Nuclear Schwinger-Dyson formalism
• The connection between the nuclear matter mean-field equation of state and the quark and gluon condensates at high density
• Quark Condensate in the Deuteron
• Pion-Pion Phase-Shifts and the Value of Quark-Antiquark Condensate in the Chiral Limit

Cited by in corpus (8)

• Deconfinement phase transition in hybrid neutron stars from the Brueckner theory with three-body forces and a quark model with chiral mass scaling
• Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets
• Thermodynamic consistency, quark mass scaling, and properties of strange matter
• Massive hybrid stars with a first order phase transition
• Thermal pion masses in the second phase: $|{\mu }_I|>m_{\pi }$
• Chiral condensates and size of the sigma term
• A new treatment of the in-medium chiral condensates
• Chiral dynamics and pion properties at finite temperature and isospin chemical potential