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arXiv · 1605.05550

Spectra of heavy-light mesons in a relativistic model

Jing-Bin Liu·Cai-Dian Lu
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Abstract

The spectra and wave functions of heavy-light mesons are calculated within a relativistic quark model, which is based on a heavy-quark expansion of the instantaneous Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation. The kernel we choose is the standard combination of linear scalar and Coulombic vector. The effective Hamiltonian for heavy-light quark-antiquark system is calculated up to order $1/m_Q^2$. Our results are in good agreement with available experimental data except for the anomalous $D_{s0}^*(2317)$ and $D_{s1}(2460)$ states. The newly observed heavy-light meson states can be accommodated successfully in the relativistic quark model with their assignments presented. The $D_{sJ}^*(2860)$ can be interpreted as the $|1^{3/2}D_1\rangle$ and $|1^{5/2}D_3\rangle$ states being members of the 1D family with $J^P=1^-$ and $3^-$.

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Jing-Bin Liu, Cai-Dian Lu. 2017-02-08. Spectra of heavy-light mesons in a relativistic model. https://doi.org/10.1140/epjc%2Fs10052-017-4867-9

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