Chiral Symmetry and Scalar Meson in Hadron and Nuclear Physics

Abstract

After giving a short introduction to the Nambu-Jona-Lasinio model with an anomaly term, we show the importance of the scalar-scalar correlation in the low-energy hadron dynamics, which correlation may be summarized by a scalar-isoscalar meson, the sigma meson. The discussion is based on the chiral quark model with the sigma-meson degrees of freedom. Possible experiments are proposed to produce the elusive meson in a nucleus and detect it. In relation to a precursory soft mode for the chiral transition, the reason is clarified why the dynamic properties of the superconductor may be described by the diffusive time-dependent Ginzburg-Landau (TDGL) equation. We indicate the chiral symmetry plays a significant role also in nuclei; one may say that the stability of nuclei is due to the chiral symmetry of QCD.

18 pages, LATEX, 7 figures (hard copies are available upon request)

References in corpus (1)

• QCD Phenomenology based on a Chiral Effective Lagrangian

Cited by in corpus (19)

• A Precursor of Chiral Symmetry Restoration in the Nuclear Medium
• Scalar Particles in Lattice QCD
• Sigma and omega meson propagation in a dense nuclear medium
• The $\pi \pi$ interaction in nuclear matter from a study of the ${\pi }^{+}A\to {\pi }^{+}{\pi }^{\pm }{A}^{\prime }$ reactions
• Lattice Study of Low-lying Nonet Scalar Mesons in Quenched Approximation
• Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration
• General properties of the pion production reaction in nuclear matter
• In-medium omega-meson broadening and S-wave pion annihilation into e^+e^- pairs
• Density dependence of meson - nucleon vertices in nuclear matter
• Sigma Signal for Hybrid Baryon Decay
• Sigma-meson in hot and dense matter
• Formation of sigma Mesic Nuclei in (d,t) and (d,^3He) Reactions
• The low-lying Scalar Mesons and Related Topics
• Existence of σ(600)/κ(900)-Particle and New Chiral Scalar Nonet ``Chiralons''
• On the dominance of non-exotic meson-meson scattering by s-channel qqbar confinement states and the classification of the scalar mesons
• Time-dependent Ginzburg-Landau Equation in the Nambu--Jona-Lasinio Model
• The $\eta$ decay into 3$\pi$ in asymmetric nuclear medium
• Pre-critical Chiral Fluctuations in Nuclear Medium -- precursors of chiral restoration at $ρ_{B}\not=0 --
• Dynamic nature at the QCD Critical End Point