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Heavy pseudoscalar mesons in a Schwinger-Dyson--Bethe-Salpeter approach · Around

2010

Heavy pseudoscalar mesons in a Schwinger-Dyson--Bethe-Salpeter approach

Dorkin, S. M., Hilger, T., Kaptari, L. P. et al.

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The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum-dependent masses of the constituents.

This dependence is found by solving the Schwinger-Dyson equation for quark propagators in rainbow-ladder approximation.
Such an approximation is known to provide both a fast convergence of numerical methods and accurate results for lightest mesons.
However, as the meson mass increases, the method becomes less stable and special attention must be devoted to details of numerical means of solving the corresponding equations.

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