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Confinement and parity doubling in heavy-light mesons

Yu. S. Kalashnikova·A. V. Nefediev·J. E. F. T. Ribeiro
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Abstract

In this paper, we study the chiral symmetry restoration in the hadronic spectrum in the framework of generalised Nambu-Jona-Lasinio quark models with instantaneous confining quark kernels. We investigate a heavy-light quarkonium and derive its bound-state equation in the form of a Schroedingerlike equation and, after the exact inverse Foldy-Wouthuysen transformation, in the form of a Diraclike quation. We discuss the Lorentz nature of confinement for such a system and demonstrate explicitly the effective chiral symmetry restoration for highly excited states in the mesonic spectrum. We give an estimate for the scale of this restoration.

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Yu. S. Kalashnikova, A. V. Nefediev, J. E. F. T. Ribeiro. 2005-07-29. Confinement and parity doubling in heavy-light mesons. https://doi.org/10.1103/physrevd.72.034020

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