Parametrization of a nonlocal, chiral quark model in the instantaneous three-flavor case. Basic formulas and tables
arXiv:hep-ph/0602238 · doi:10.1134/S1547477107030041
Abstract
In these notes we describe the basic formulation of the parametrization scheme for the instantaneous nonlocal chiral quark model in the three flavor case. We choose to discuss the Gaussian, Lorentzian-type, Woods-Saxon and sharp cutoff (NJL) functional forms of the momentum dependence for the formfactor of the separable interaction. The four parameters: light and strange quark mass, coupling strength (G_S) and range of the interaction (Lambda) have been fixed by the same phenomenological inputs: pion and kaon mass, pion decay constant and light quark mass in vacuum. The Wood-Saxon and Lorentzian-type formfactor is suitable for an interpolation between sharp cutoff and soft momentum dependence. Results are tabulated for applications in models of hadron structure and quark matter at finite temperatures and chemical potentials where separable models have proven successful.
arXiv comment11 pages, 3 figures, 11 tables
References in corpus (16)
- NJL-model analysis of dense quark matter
- Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
- Hadronization in the SU(3) Nambu-Jona-Lasinio Model
- The phase diagram of neutral quark matter: Self-consistent treatment of quark masses
- Direct extraction of the chiral quark condensate and bounds on the light quark masses
- Extensive study of phase diagram for charge neutral homogeneous quark matter affected by dynamical chiral condensation -- unified picture for thermal unpairing transitions from weak to strong coupling --
- Cooling of Neutron Stars with Color Superconducting Quark Cores
- Analysis of U(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
- Finite T meson correlations and quark deconfinement
- Color-spin locking phase in two-flavor quark matter for compact star phenomenology
- Phase diagram of neutral quark matter in nonlocal chiral quark models
- Hybrid stars with color superconductivity within a nonlocal chiral quark model
- Neutron star cooling constraints for color superconductivity in hybrid stars
- How robust is a 2SC quark matter phase under compact star constraints?
- Lattice QCD at High Temperature and the QGP
- Diquark condensation effects on hot quark star configurations
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