English

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

High Energy Physics - Phenomenology 2008-11-26 v1

Abstract

We present a calculation of the quark distribution amplitudes(DAs), the Gegenbauer moments, and decay constants for π,ρ,K\pi,\rho,K and KK^* mesons using the light-front quark model. While the quark DA for π\pi is somewhat broader than the asymptotic one, that for ρ\rho meson is very close to the asymptotic one. The quark DAs for KK and KK^* show asymmetric form due to the flavor SU(3)-symmetry breaking effect. The decay constants for the transversely polarized ρ\rho and KK^* mesons(fρTf^T_\rho and fKTf^T_{K^*}) as well as the longitudinally polarized ones(fρf_\rho and fKf_{K^*}) are also obtained. Our averaged values for fVT/fVf^T_V/f_V, i.e. (fρT/fρ)av=0.78(f^T_\rho/f_\rho)_{\rm av}=0.78 and (fKT/fK)av=0.84(f^T_{K^*}/f_{K^*})_{\rm 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, fρ(K)T=(fπ(K)+fρ(K))/2f^T_{\rho(K^*)}=(f_{\pi(K)}+f_{\rho(K^*)})/2.

Keywords

Cite

@article{arxiv.hep-ph/0701177,
  title  = {Distribution amplitudes and decay constants for $(\pi,K,\rho,K^*)$ mesons in light-front quark model},
  author = {Ho-Meoyng Choi and Chueng-Ryong Ji},
  journal= {arXiv preprint arXiv:hep-ph/0701177},
  year   = {2008}
}

Comments

12 pages, 6figures