Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-12-13
Phys.Rev. D54 (1996) 5812-5819
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages REVTEX, one postscript figure, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.54.5812
The Nambu--Jona-Lasinio model (NJL) is extended to incorporate heavy quark spin-symmetry. In this model baryons containing one heavy quark are analyzed as bound-states of light baryons, represented as chiral solitons, and mesons containing one heavy quark. From related studies in Skyrme type models, the ground-state heavy baryon is known to arise for the heavy meson in a P--wave configuration. In the limit of an infinitely large quark mass the heavy meson wave-function is sharply peaked at the center of the chiral soliton. Therefore the bound state equation reduces to an eigenvalue problem for the coefficients of the operators contained in the most general P-wave {\it ansatz} for the heavy meson. Within the NJL model a novel feature arises from the coupling of the heavy meson to the various light quark states. In this respect conceptual differences to Skyrme model calculations are discovered: The strongest bound state is given by a heavy meson configuration which is completely decoupled from the grand spin zero channel of the light quarks.
Gamberg Leonard
Reinhardt Hugo
Weigel Herbert
Zückert U.
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