Heavy-Light Mesons In A Relativistic Model
Jing-Bin Liu, Mao-Zhi Yang
TL;DR
This paper develops a relativistic model for heavy-light mesons using the Bethe-Salpeter equation and Foldy-Wouthuysen transformation, calculating spectra and wave functions for various mesons.
Contribution
It introduces a relativistic framework incorporating scalar and vector potentials, including gluon exchange effects, to study heavy-light meson spectra and wave functions.
Findings
Calculated meson spectra up to order 1/m_Q
Obtained wave functions at leading order
Model includes scalar confining and vector Coulomb potentials
Abstract
We study the heavy-light mesons in a relativistic model, which is derived from the instantaneous Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation on the heavy quark. The kernel we choose is based on scalar confining and vector Coulomb potentials, the transverse interaction of the gluon exchange is also taken into account in this model. The spectra and wave functions of , , , meson states are obtained. The spectra are calculated up to the order of , and wave functions are treated to leading order.
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