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arXiv · 2008.09619

Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front

Fernando E. Serna·Roberto Correa da Silveira·J. J. Cobos-Martínez·Bruno El-Bennich·Eduardo Rojas
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Abstract

The ladder kernel of the Bethe-Salpeter equation is amended by introducing a different flavor dependence of the dressing functions in the heavy-quark sector. Compared with earlier work this allows for the simultaneous calculation of the mass spectrum and leptonic decay constants of light pseudoscalar mesons, the $D_u$, $D_s$, $B_u$, $B_s$ and $B_c$ mesons and the heavy quarkonia $\eta_c$ and $\eta_b$ within the same framework at a physical pion mass. The corresponding Bethe-Salpeter amplitudes are projected onto the light front and we reconstruct the distribution amplitudes of the mesons in the full theory. A comparison with the first inverse moment of the heavy meson distribution amplitude in heavy quark effective theory is made.

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Fernando E. Serna, Roberto Correa da Silveira, J. J. Cobos-Martínez, Bruno El-Bennich, Eduardo Rojas. 2020-08-21. Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front. https://doi.org/10.1140/epjc%2Fs10052-020-08517-3

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