Abstract
In this paper, we calculate the matrix element and form factors of vector-to- vector (VI→ VII) transition within the standard light-front (SLF) and covariant light- front (CLF) quark models (QMs), and investigate the self-consistency and Lorentz covari- ance of the CLF QM within two types of correspondences between the manifest covariant Bethe-Salpeter approach and the LF approach. The zero-mode and valence contributions to the form factors of VI→ VII transition in the CLF QM and their relation to the SLF results are analyzed, and the main conclusions obtained via the decay constants of vector and axial-vector mesons and the form factors of P → V transition in the previous works are confirmed again. Furthermore, we present our numerical predictions for the form factors of c → (q, s) (q = u, d) induced D*→ (K*, ρ), D∗→ (ϕ, K*), J/Ψ →\( \left({D}_s^{\ast },{D}^{\ast}\right) \), \( {B}_c^{\ast}\to \left({B}_s^{\ast },{B}^{\ast}\right) \) transitions and b → (c, s, q) induced B∗ → (D∗, K∗, ρ), \( {B}_s^{\ast}\to \left({D}_s^{\ast },\phi, {K}^{\ast}\right) \), \( {B}_c^{\ast}\to \left(J/\varPsi, {D}_s^{\ast },{D}^{\ast}\right),\varUpsilon (1S)\to \left({B}_c^{\ast },{B}_s^{\ast },{B}^{\ast}\right) \) the relevant phenomenological studies of meson decays.
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Chang, Q., Wang, LT. & Li, XN. Form factors of V′ → V″ transition within the light-front quark models. J. High Energ. Phys. 2019, 102 (2019). https://doi.org/10.1007/JHEP12(2019)102
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DOI: https://doi.org/10.1007/JHEP12(2019)102