Heavy and light meson wavefunctions

Abstract

We present a short review on the properties of heavy and light mesons' light-cone wavefunctions (LCWFs), and their distribution amplitudes (DAs). The B meson LCWFs can be treated by taking the heavy quark limit ($m_b\to \infty$) and by using the heavy quark effective theory. Furthermore, we propose a simple model for the B meson WFs with 3-particle Fock states' contributions, whose behaviors are controlled by two parameters $\bar{\Lambda }$ and $\delta$. Using such model, the form factors $F_{+,0,T}^{B\to \pi }$ and $F_{+,0,T}^{B\to K}$ in large recoil region are studied up to $\mathcal{O}(1/m_b^2)$ within the $k_T$ factorization approach. On the other hand, we adopt Brodsky-Huang-Lepage (BHL) prescription for constructing the WFs of the lighter pseudoscalars as ${\eta }_c$, D-meson, pion, kaon, ${\eta }^{(\prime )}$ and etc. Such BHL-like model can be conveniently extended to construct the LCWFs for light scalar or vector mesons. Within such model the longitudinal distributions of those WFs are basically determined by a parameter $B$, whose value can be determined via a global fit of experimental data.

Comments: 15 pages, 12 figures. References updated. To be published in Chinese Science Bulletin