A Non-perturbative Treatment of Heavy Quarks and Mesons

Details A Non-perturbative Treatment of Heavy Quarks and Mesons A Non-perturbative Treatment of Heavy Quarks and Mesons

1996-05-16

arxiv.org/abs/hep-ph/9605328v2

Phys.Rev.D55:367-376,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 3 postscript figures, alterations mainly rewriting of Section VI (Numerical calculations)

Scientific paper

10.1103/PhysRevD.55.367

A formalism for studying heavy quarks in terms of model Dyson-Schwinger equations is developed. The formalism is the natural extension of a technique which has proved successful in a number of studies of light hadron physics. The dressed heavy quark propagator, calculated to leading order in the inverse quark mass, is incorporated in a treatment of mesons consisting of a heavy quark and light antiquark via the ladder approximation Bethe-Salpeter equation. In the limit of infinite heavy quark mass the model is found to respect the spectrum degeneracies present in Heavy Quark Effective Theory. An exploratory numerical analysis of a simple form of the model is carried out to assess its viability for studying $D$ and $B$ mesons.

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