Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model

Details Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model

1993-04-16

arxiv.org/abs/hep-ph/9304265v1

Phys.Rev.D49:409-425,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

42 pages, SSCL-PP-243; Fermi-Pub-93/059-T

Scientific paper

10.1103/PhysRevD.49.409

We study a solvable QCD--like toy theory, a generalization of the Nambu--Jona-Lasinio model, which implements chiral symmetries of light quarks and heavy quark symmetry. The chiral symmetric and chiral broken phases can be dynamically tuned. This implies a parity doubled heavy--light meson system, corresponding to a $(0^-,1^-)$ multiplet and a $(0^+,1^+)$ heavy spin multiplet. Consequently the mass difference of the two multiplets is given by a Goldberger--Treiman relation and $g_A$ is found to be small. The Isgur--Wise function, $\xi(w)$, the decay constant, $f_B$, and other observables are studied.

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