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Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model
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abstract
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.
Forward citations
Cited by 2 Pith papers
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A Phenomenological Model of Mesons for Charged Current Weak Decays
A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
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Pentaquarks made of light quarks and their admixture to baryons
Light pentaquark wavefunctions are constructed from permutation symmetry, and a nucleon-pentaquark mixing model yields a five-quark Fock probability P5q of order 0.4.
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