An Effective Lagrangian with Broken Scale and Chiral Symmetry II: Pion Phenomenology

Abstract

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also include a chiral Lagrangian for the isotriplet vector mesons which leads to a renormalization of the pion field. The properties of nuclear matter and nuclei, low energy $\pi N$ scattering and the behavior of quantities such as the pion mass and axial coupling at finite density are discussed.

33 pages, Latex, 5 figures in separate uuencoded file

References in corpus (5)

• Resurrection of the Sigma Meson
• Numerical Evidence for the Observation of a Scalar Glueball
• Analysis of Chiral Mean-Field Models for Nuclei
• Valid QCD Sum Rules for Vector Mesons in Nuclear Matter
• Study of sigma(750) and rho0(770) production in measurements of piN(polarized) -> pi(+)pi(-)n on a polarized target at 5.98,11.85 and 17.2 GeV/c

Cited by in corpus (43)

• A Chiral Effective Lagrangian for Nuclei
• Current correlation functions, QCD sum rules and vector mesons in baryonic matter
• Nuclei in a chiral SU(3) model
• A Novel Approach to Model Hybrid Stars
• Chiral Lagrangian for strange hadronic matter
• Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Parameter Counting in Relativistic Mean-Field Models
• Modified Quark-Meson Coupling Model for Nuclear Matter
• Softening of the equation of state of matter at large densities and temperatures: chiral symmetry restoration vs. quark deconfinement
• How the axial anomaly controls flavor mixing among mesons
• Neutron stars within the SU(2) parity doublet model
• The Quenching of the Axial Coupling in Nuclear and Neutron-Star Matter
• An Effective Lagrangian with Broken Scale and Chiral Symmetry III: Mesons at Finite Temperature
• A chiral lagrangian with Broken Scale: testing the restoration of symmetries in astrophysics and in the laboratory
• New treatment of the chiral SU(3) quark mean field model
• Decay of light scalar mesons into vector-photon and into pseudoscalar mesons
• Mirror versus naive assignment in chiral models for the nucleon
• Metastable quark-antiquark droplets within the Nambu-Jona-Lasinio model
• Charged $\rho$-meson condensation in neutron stars
• Off-shell effects in dilepton production from hot interacting mesons
• An Effective Lagrangian with Broken Scale and Chiral Symmetry IV: Nucleons and Mesons at Finite Temperature
• Liquid-gas phase transition and Coulomb instability of asymmetric nuclear systems
• Chiral Symmetry Restoration and Deconfinement to Quark Matter in Neutron Stars
• Phase transition from hadronic matter to quark matter
• Effects of Renormalizing the chiral SU(2) Quark-Meson-Model
• Liquid-gas phase transition in nuclear matter including strangeness
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• Pion-nucleon scattering and the nucleon sigma term in an extended sigma model
• On the chiral expansion of vector meson masses
• The half-skyrmion phase in a chiral-quark model
• Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
• From well-known tensor mesons to yet unknown axial-tensor mesons
• Glueball-glueball scattering and the glueballonium
• Chiral symmetry restoration in strange hadronic matter
• A chiral quark-soliton model with broken scale invariance for nuclear matter
• Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons
• Two photons decay of the glueball and scalar isoscalar mesons in a scaled NJL model
• Universal scale factors relating mesonic fields and quark operators
• The soliton-soliton interaction in the Chiral Dilaton Model
• Strengthening the Bridge Between Chiral Lagrangians and QCD Sum-Rules
• A hybrid-chiral soliton model with broken scale invariance for nuclear matter
• Corrections to the Nuclear Axial Vector Coupling in a Nuclear Medium