Rates of $$D^{}_{0}(2400)$$, $$ D_J^(3000) $$ as the $$D^{}_{0}(2P)$$ and $$D^{}_{0}(3P)$$ in B decays

• Published in: The European physical journal. C, Particles and fields Vol. 79; no. 9
• Main Authors: Tan, Xiao-Ze, Jiang, Yue, Wang, Tianhong, Zhou, Tian, Li, Geng, Geng, Zi-Kan, Wang, Guo-Li
• Format: Journal Article
• Language: English
• Published: 01.09.2019
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-019-7305-3

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 $$ D_0^* $$ D 0 ∗ in B meson decays. When the final state is 1 P state $$ D_0^*(2400) $$ D 0 ∗ ( 2400 ) , our theoretical decay rate is consistent with experimental data. For $$ D_J^*(3000) $$ D J ∗ ( 3000 ) final state, which was observed by LHCb collaboration recently and here treated as the orbitally excited scalar $$D^{*}_{0}(2P)$$ D 0 ∗ ( 2 P ) , its rate is in the order of $$ 10^{-4} \sim 10^{-6}$$ 10 - 4 ∼ 10 - 6 . We find the special node structure of $$D^{*}_{0}(2P)$$ D 0 ∗ ( 2 P ) wave function possibly results in the suppression of its branching ratio and the abnormal uncertainty. The 3 P states production rate is in the order of $$ 10^{-5}$$ 10 - 5 .