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Heavy and light meson wavefunctions

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arxiv 1312.1455 v2 pith:Y2VM7GXQ submitted 2013-12-05 hep-ph

Heavy and light meson wavefunctions

classification hep-ph
keywords heavymodellcwfslightmesondeterminedmesonsquark
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $F^{B\to\pi}_{+,0,T}$ and $F^{B\to K}_{+,0,T}$ in large recoil region are studied up to ${\cal O}(1/m_b^2)$ 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.

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