Space-like and time-like pion-rho transition form factors in the light-cone formalism

Abstract

Having calculated the light-cone wave function of the pseudoscalar meson by using two equivalent and fully covariant methods, we generalize such methods to the valence Fock states of the vector meson in the light-cone formalism. We investigate the decay constant of the $\rho$ meson $f_{\rho }$, the ${\gamma }^{\ast }\pi \to \rho$ and ${\gamma }^{\ast }\rho \to \pi$ transition form factors and especially the transition magnetic moments. By using two groups of constraint parameters, we predict the space-like and time-like form factors $F_{\pi \rho }(Q^2)$ and $F_{\rho \pi }(Q^2)$ at low and moderate energy scale and the electromagnetic radius of these transition processes. In addition, we extend our calculation to ${\gamma }^{\ast }\pi \to \omega$ space-like and time-like form factors by using the same sets of parameters.

arXiv comment17 latex pages, 5 figures, final version for publication

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• The perturbative QCD factorization of $\rho {\gamma }^{\star }\to \pi$
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• Transverse densities and generalized parton distributions of $\rho$ meson in light front quark model
• Tri-meson-mixing of $\pi$-$\eta$-${\eta }^{\prime }$ and $\rho$-$\omega$-$\varphi$ in the light-cone quark model
• The perturbative QCD factorization of $\rho {\gamma }^{\star }\to \rho$
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• Estimating the production rates of D-wave charmed mesons via the semileptonic decays of bottom mesons
• Tetramixing of vector and pseudoscalar mesons: A source of intrinsic quarks
• Space- and time-like form factors for $\omega \to \pi {\gamma }^{\ast }$ and $K^{\ast }\to K{\gamma }^{\ast }$ in light-front quark model
• The next-to-leading order corrections to rho meson electromagnetic form factors in the $k_T$ factorization approach
• Status of the $D_s^{+}\to \varphi {\ell }^{+}{\nu }_{\ell }$ decay with a chiral-odd $\varphi$-meson light-cone distribution amplitude