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B-Meson Wavefunction in the Wandzura-Wilczek Approximation

Tao Huang·Xing-Gang Wu·Ming-Zhen Zhou
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Abstract

The B-meson wavefunction has been studied with the help of the vacuum-to-meson matrix element of the nonlocal operators in the heavy quark effective theory. In order to obtain the Wandzura-Wilczek-type B-meson wavefunction, we solve the equations which are derived from the equation of motion of the light spectator quark in the B meson by using two different assumptions. Under the condition that $ω_0=2\barΛ$, the solutions for the B-meson wavefunction in this paper agree well with the one obtained by directly taking the heavy quark limit $m_b\to\infty$. Our results show that the equation of motion of the light spectator quark in the B meson can impose a strong constraint on the B-meson wavefunctions $Ψ_\pm(ω,z^2)$. Based on the obtained results, we claim that both its distribution amplitudes $ϕ_B(ω)$ and $\barϕ_B(ω)$ are important for calculating the B meson decays.

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Tao Huang, Xing-Gang Wu, Ming-Zhen Zhou. 2005-01-06. B-Meson Wavefunction in the Wandzura-Wilczek Approximation. https://doi.org/10.1016/j.physletb.2005.02.029

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