Strong decays of the orbitally excited scalar $$D^{*}_{0}$$ D0∗ mesons

Abstract

Abstract We calculate the two-body strong decays of the orbitally excited scalar mesons $$D_0^*(2400)$$ D0∗(2400) and $$D_J^*(3000)$$ DJ∗(3000) by using the relativistic Bethe–Salpeter (BS) method. $$D_J^*(3000)$$ DJ∗(3000) was observed recently by the LHCb Collaboration, the quantum number of which has not been determined yet. In this paper, we assume that it is the $$0^+(2P)$$ 0+(2P) state and obtain the transition amplitude by using the PCAC relation, low-energy theorem and effective Lagrangian method. For the 1P state, the total widths of $$D_0^*(2400)^{0}$$ D0∗(2400)0 and $$ D_0^*(2400)^+$$ D0∗(2400)+ are 226 and 246 MeV, respectively. With the assumption of $$0^+(2P)$$ 0+(2P) state, the widths of $$D_J^*(3000)^0$$ DJ∗(3000)0 and $$D_J^*(3000)^+$$ DJ∗(3000)+ are both about 131 MeV, which is close to the present experimental data. Therefore, $$D_J^*(3000)$$ DJ∗(3000) is a strong candidate for the $$2^3P_0$$ 23P0 state.