Space- and time-like form factors for $\omega \to \pi {\gamma }^{\ast }$ and $K^{\ast }\to K{\gamma }^{\ast }$ in light-front quark model

Abstract

We investigate space- and time-like form factors for $\omega \to \pi {\gamma }^{\ast }$ and $K^{\ast }\to K{\gamma }^{\ast }$ decays using the light-front quark model constrained by the variational principle for the QCD-motivated effective Hamiltonian. The momentum dependent space-like form factors are obtained in the $q^{+}=0$ frame and then analytically continued to the time-like region. Our prediction for the time-like form factor $F_{\omega \pi }(q^2)$ is in good agreement with the experimental data. We also find that the space-like form factor $F_{K^{\ast \pm }{K}^{\pm }}(Q^2)$ for charged kaons encounters a zero because of the negative interference between the two currents to the quark and the antiquark.

4pages, 4figures

References in corpus (3)

• Decay constants and radiative decays of heavy mesons in light-front quark model
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• $\omega -\pi {\gamma }^{\ast }$ transition form factor in proton-proton collisions

Cited by in corpus (2)

• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Light-front holographic radiative transition form factors for light mesons