Heavy-light mesons in a relativistic model

  • We study the heavy-light mesons in a relativistic model, which is derived from the Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation to the heavy quark. The kernel we choose is based on scalar confinement 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 D, Ds, B, Bs meson states are obtained. The spectra are calculated up to the order of 1/mQ, and wave functions are treated to leading order.
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Jing-Bin Liu and Mao-Zhi Yang. Heavy-light mesons in a relativistic model[J]. Chinese Physics C, 2016, 40(7): 073101. doi: 10.1088/1674-1137/40/7/073101
Jing-Bin Liu and Mao-Zhi Yang. Heavy-light mesons in a relativistic model[J]. Chinese Physics C, 2016, 40(7): 073101.  doi: 10.1088/1674-1137/40/7/073101 shu
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Received: 2015-10-29
Revised: 2016-02-23
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    Supported by National Natural Science Foundation of China (11375088, 10975077, 10735080, 11125525)

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Heavy-light mesons in a relativistic model

    Corresponding author: Jing-Bin Liu,
    Corresponding author: Mao-Zhi Yang,
Fund Project:  Supported by National Natural Science Foundation of China (11375088, 10975077, 10735080, 11125525)

Abstract: We study the heavy-light mesons in a relativistic model, which is derived from the Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation to the heavy quark. The kernel we choose is based on scalar confinement 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 D, Ds, B, Bs meson states are obtained. The spectra are calculated up to the order of 1/mQ, and wave functions are treated to leading order.

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