https://doi.org/10.1140/epjc/s10052-017-4611-5
Regular Article - Theoretical Physics
Strong decays of 
, 
, 
, and 
1
Department of Physics, Harbin Institute of Technology, Harbin, 150001, China
2
School of Electrical and Information Engineering, Beifang University of Nationalities, Yinchuan, 750021, China
3
Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA, 15260, USA
* e-mail: gl_wang@hit.edu.cn
Received:
26
October
2016
Accepted:
8
January
2017
Published online:
19
January
2017
In this paper, we study the OZI-allowed two-body strong decays of 
heavy–light mesons. Experimentally the charmed and the charm–strange states with these quantum numbers have been discovered. For the bottomed B(5970) state, which was found by the CDF Collaboration recently, its quantum number has not been decided yet and we assume it is a meson in this paper. The theoretical prediction for the strong decays of bottom–strange state 
is also given. The relativistic wave functions of heavy mesons are constructed and their numerical values are obtained by solving the corresponding Bethe–Salpeter equation with instantaneous approximation. The transition matrix is calculated by using the PCAC and low energy theorem, following which the decay widths are obtained. For 
and 
, the total strong decay widths are 72.6 and 47.6 MeV, respectively. For 
with 
MeV and with 
MeV, their strong decay widths are 22.9 and 40.8 MeV, respectively.
© The Author(s), 2017
