1996/08/20 by L. Micu · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.55.4151
published as Phys.Rev. D55 (1997) 4151-4156 · 11 pages, LaTex
arxiv created 1996/08/20 · openalex publication_date 1997/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The decay constants of pseudoscalar mesons are calculated in a relativistic quark model which assumes that mesons are made of a valence quark-antiquark pair and of an effective vacuumlike component. The results are given as functions of quark masses and of some free parameters entering the expression of the internal wave functions of the mesons. Using F_\ensuremathπ+=130.7 MeV, F_K+=159.8 MeV to fix the parameters of the model, we predict 60 MeV<~F_D+<~185 MeV, 95 MeV<~F_Ds<~230 MeV, 80 MeV<~F_B+<~205 MeV, 90 MeV<~F_Bs<~235 MeV for the light quark masses mu=5.1 MeV, md=9.3 MeV, ms=175 MeV and the heavy quark masses in the range 1GeV<~mc<~1.6 GeV, 4.1GeV<~mb<~4.5 GeV. In the case of light neutral mesons one obtains with the same set of parameters F_\ensuremathπ0\ensuremath≈138 MeV, F_\ensuremathη\ensuremath≈130 MeV, F_\ensuremathη^\ensuremath'\ensuremath≈78 MeV. The values are in agreement with the experimental data and other theoretical results.