Rates of $$D^{*}_{0}(2400)$$ D0∗(2400) , $$ D_J^*(3000) $$ DJ∗(3000) as the $$D^{*}_{0}(2P)$$ D0∗(2P) and $$D^{*}_{0}(3P)$$ D0∗(3P) in B decays

• Main Authors: Xiao-Ze Tan, Yue Jiang, Tianhong Wang, Tian Zhou, Geng Li, Zi-Kan Geng, Guo-Li Wang
• Format: Article
• Language: English
• Published: SpringerOpen 2019-09-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/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 $$ D_0^* $$ D0∗ in B meson decays. When the final state is 1P state $$ D_0^*(2400) $$ D0∗(2400) , our theoretical decay rate is consistent with experimental data. For $$ D_J^*(3000) $$ DJ∗(3000) final state, which was observed by LHCb collaboration recently and here treated as the orbitally excited scalar $$D^{*}_{0}(2P)$$ D0∗(2P) , its rate is in the order of $$ 10^{-4} \sim 10^{-6}$$ 10-4∼10-6 . We find the special node structure of $$D^{*}_{0}(2P)$$ D0∗(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 $$ 10^{-5}$$ 10-5 .