Abstract
In this paper, we use the instantaneous Bethe–Salpeter method to calculate the semi-leptonic and non-leptonic production of the orbitally excited scalar D_0^* in B meson decays. When the final state is 1P state D_0^*(2400) , our theoretical decay rate is consistent with experimental data. For D_J^*(3000) final state, which was observed by LHCb collaboration recently and here treated as the orbitally excited scalar D^{*}_{0}(2P), its rate is in the order of 10^{-4} sim 10^{-6}. We find the special node structure of D^{*}_{0}(2P) wave function possibly results in the suppression of its branching ratio and the abnormal uncertainty. The 3P states production rate is in the order of 10^{-5}.
Highlights
The semi-leptonic and non-leptonic decays of B mesons are the frequently studied decays and the dominant production channels of charmed mesons
For 3P state, it can be seen that the curves of l = e have minimum points around m = 3.175 GeV, which means the overlapping integrals have the maximum cancellation at that mass value
For 1P state D0∗(2400), the branching ratios of B → D0∗e−νe are in the order of 10−3, which is consistent with the results of present experiments and other models
Summary
The semi-leptonic and non-leptonic decays of B mesons are the frequently studied decays and the dominant production channels of charmed mesons. The Belle and BABAR Collaborations reported the semi-leptonic B decays to P-wave D∗ mesons by using fully reconstructed B tags [9,10] and the Belle, BABAR and LHCb Collaborations reported the non-leptonic decays B → D0∗π(K ) [11,12,13,14,15]. They inspired many theoretical studies on the excited charmed states using different models, for example, the lightfront quark model [16], the constituent quark model [17], as well as the Bethe–Salpeter method [18], etc.
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