Chiral effective Lagrangian for excited heavy-light mesons from QCD

18 Jan 2021  ·  Qing-Sen Chen, Hui-Feng Fu, Yong-Liang Ma, Qing Wang ·

We derive the chiral effective Lagrangian for excited heavy-light mesons from QCD under proper approximations. We focus on the chiral partners with $j_l^P=\frac{3}{2}^+$ and $j_l^P=\frac{3}{2}^-$ which amounts to ($1^+,2^+$) and ($1^-,2^-$) states respectively. The low energy constants including the masses of the chiral partners are calculated. The calculated spectrum for the excited mesons are found roughly consistent with experimental data. In addition, our results indicate that quantum numbers of $B_J(5970)$ can be identified with $1^-$ or $2^-$.

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High Energy Physics - Phenomenology