Bulg. J. Phys. vol.50 no.1 (2023), pp. 016-026
Leptonic Decay Widths and Decay Constants of ρ, ω, ϕ, ψ and Υ Mesons in a Dirac Formalism
B.K. Panda1, S. Panda2, S.N. Jena2, A.K. Panda2
1Department of Physics Aska Science College, Aska, Odisha, India
2P.G. Department of Physics, Berhampur University, Berhampur-760007, Odisha, India
go back1Department of Physics Aska Science College, Aska, Odisha, India
2P.G. Department of Physics, Berhampur University, Berhampur-760007, Odisha, India
Abstract. In an approach predicted by the independent quark model with scalar- vector linear potential, we compute the leptonic decay widths and electromagnetic decay constants of vector mesons. We derive the quark-antiquark momentum distribution wave function from bound Quark eigenmode, Supposing a strong association between quark-antiquark momenta within the meson, so that the total momentum identically zero in the mesons center of mass frame. We obtain the leptonic decay width of ρ, ω, ϕ, ψ and Υ as 6.61 keV, 0.71 keV, 1.26 keV, 5.49 keV, and 1.31 keV and decay constants of ρ, ω, ϕ, ψ, and Υ as 0.19 GeV, 0.064 GeV, 0.074 GeV, 0.089 GeV and 0.021 GeV using our model parameter. These values are consistent with the said relevant experimental observations.
doi: https://doi.org/10.55318/bgjp.2023.50.1.016