Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model

Abstract

We present a calculation of the quark distribution amplitudes(DAs), the Gegenbauer moments, and decay constants for $\pi ,\rho ,K$ and $K^{\ast }$ mesons using the light-front quark model. While the quark DA for $\pi$ is somewhat broader than the asymptotic one, that for $\rho$ meson is very close to the asymptotic one. The quark DAs for $K$ and $K^{\ast }$ show asymmetric form due to the flavor SU(3)-symmetry breaking effect. The decay constants for the transversely polarized $\rho$ and $K^{\ast }$ mesons($f_{\rho }^T$ and $f_{K^{\ast }}^T$) as well as the longitudinally polarized ones($f_{\rho }$ and $f_{K^{\ast }}$) are also obtained. Our averaged values for $f_V^T/f_V$, i.e. $(f_{\rho }^T/f_{\rho }{)}_{\mathrm{av}}=0.78$ and $(f_{K^{\ast }}^T/f_{K^{\ast }}{)}_{\mathrm{av}}=0.84$, are found to be consistent with other model predictions. Especially, our results for the decay constants are in a good agreement with the SU(6) symmetry relation, $f_{\rho (K^{\ast })}^T=(f_{\pi (K)}+f_{\rho (K^{\ast })})/2$.

12 pages, 6figures

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