Regular Article – Theoretical Physics
Distribution amplitudes of heavy mesons and quarkonia on the light front
LFTC, Universidade Cidade de São Paulo, Rua Galvão Bueno, 868, 01506-000, São Paulo, SP, Brazil
2 IFT, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271, 01140-070, São Paulo, SP, Brazil
3 Departamento de Física, Universidad de Sonora, Boulevard Luis Encinas J. y Rosales, 83000, Hermosillo, Sonora, Mexico
4 Cátedra CONACyT, Departamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Apartado Postal 14-740, 7000, Ciudad de México, Mexico
5 Departamento de Fésica, Universidad de Nariño, A.A. 1175, San Juan de Pasto, Colombia
Accepted: 2 October 2020
Published online: 15 October 2020
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 , , , and mesons and the heavy quarkonia and 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.
© The Author(s) 2020
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