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Decay properties of $D_{s0}^*(2317)^+$ as a conventional $c\bar s$ meson

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arxiv 2305.04250 v2 pith:ZCHPJMVM submitted 2023-05-07 hep-ph

classification hep-ph
keywords decaygammaconventionalmesonbethe-salpetercalculatecalculatedcontributions
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Taking $D_{s0}^{*}(2317)^{+ }$ as a conventional $c\bar s$ meson, we calculate its dominant strong and electromagnetic decays in the framework of the Bethe-Salpeter method. Our results are $\Gamma(D_{s0}^{*+}\to D_s^+\pi^0) = 7.83^{+1.97}_{-1.55}$ keV and $\Gamma(D_{s0}^{*+}\to D_s^{*+}\gamma) = 2.55^{+0.37}_{-0.45}$ keV. The contributions of the different partial waves from the initial and final state wave functions to the decay width are also calculated, and we find that the relativistic corrections in both decay processes are very large.

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