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Decay constants and radiative decays of heavy mesons in light-front quark model

Abstract

We investigate the magnetic dipole decays Vβ†’PΞ³V\to P\gamma of various heavy-flavored mesons such as (D,Dβˆ—,Ds,Dsβˆ—,Ξ·c,J/ψ)(D,D^*,D_s,D^{*}_s,\eta_c, J/\psi) and (B,Bβˆ—,Bs,Bsβˆ—,Ξ·b,Ξ₯)(B,B^*,B_s,B^*_s,\eta_b,\Upsilon) using the light-front quark model constrained by the variational principle for the QCD-motivated effective Hamiltonian. The momentum dependent form factors FVP(q2)F_{VP}(q^2) for Vβ†’PΞ³βˆ—V\to P\gamma^* decays are obtained in the q+=0q^+=0 frame and then analytically continued to the timelike region by changing qβŠ₯{\bf q}_\perp to iqβŠ₯i{\bf q}_\perp in the form factors. The coupling constant gVPΞ³g_{VP\gamma} for real photon case is then obtained in the limit as q2β†’0q^2\to 0, i.e. gVPΞ³=FVP(q2=0)g_{VP\gamma}=F_{VP}(q^2=0). The weak decay constants of heavy pseudoscalar and vector mesons are also calculated. Our numerical results for the decay constants and radiative decay widths for the heavy-flavored mesons are overall in good agreement with the available experimental data as well as other theoretical model calculations.Comment: 9 pages, 3figures, added few more references, typos correcte

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    Last time updated on 03/01/2020