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

Xiao-Ze Tan,Si-Chen Li,Qiang Li,Tianhong Wang,Guo-Li Wang,Chao-Hsi Chang,Yue Jiang

doi:10.1140/epjc/s10052-018-6054-z

Abstract

We calculate the two-body strong decays of the orbitally excited scalar mesons D_0^*(2400) and D_J^*(3000) by using the relativistic Bethe–Salpeter (BS) method. D_J^*(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) 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} and D_0^*(2400)^+ are 226 and 246 MeV, respectively. With the assumption of 0^+(2P) state, the widths of D_J^*(3000)^0 and D_J^*(3000)^+ are both about 131 MeV, which is close to the present experimental data. Therefore, D_J^*(3000) is a strong candidate for the 2^3P_0 state.

Highlights

In recent years, many new charmed mesons have been discovered experimentally, including lots of orbitally high excited states
We have found that the excited states have large relativistic corrections, so non-relativistic or semi-relativistic models may give large uncertainties
This conclusion can be obtained from the results in Table 2: all the assignments of D∗J (3000) are highly excited states and The corresponding results vary from different methods

Summary

Introduction

Many new charmed mesons have been discovered experimentally, including lots of orbitally high excited states. In LHCb has similar decay widths of Dπ and D∗π modes are not consistent with present experimental data. We have found that the excited states have large relativistic corrections, so non-relativistic or semi-relativistic models may give large uncertainties This conclusion can be obtained from the results in Table 2: all the assignments of D∗J (3000) are highly excited states and The corresponding results vary from different methods. We treat D∗J (3000) as the second excited state of P-wave scalar meson (23 P0), and calculate its OZI-allowed two-body strong decays, trying to find out if it is consistent with the LHCb results. Pf1, Mf1 D+ 0− c Fig. 1 Feynman diagram for the decay channel D0∗(2400)0 → D+π −

Two-body strong decay

Results and discussion

Summary