Electric transitions of the charmed-strange mesons in a relativistic quark model

Abstract

In the present work, we adopt a relativistic constituent quark model to depict the charmed strange meson spectroscopy, in which $D_{s0}(2317)$ and $D_{s1}(2460)$ are considered as the $1^3{P}_0$ and $1P_1^{\prime }$ charmed strange mesons, respectively. By using the wave function obtained from the relativistic quark model, we further investigate the electric transitions between charmed strange mesons. We find the long wave length approximation is reasonable for the charmed strange meson radiative decay by comparing the results with different approximations. The estimated partial widths are all safely under the upper limits of the experimental data. Moreover, we find the branching ratio of $D_{s1}(2536)\to D_s^{\ast }\gamma /D_s\gamma$ are large enough to be detected, which could be searched by further experiments in Belle II and LHCb.

arXiv comment7 pages, 1 figure and 6 tables, accepted for or publication in the Eur. Phys. J. C

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• Towards establishing an abundant $B$ and $B_s$ spectrum up to the second orbital excitations
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Radiative decays of the charmed mesons in a modified relativistic quark model
• Phenomenology of $D_{s1}$ mesons radiative transitions
• Relativistic effects in heavy mesons