https://doi.org/10.1140/epjc/s10052-022-10677-3
Regular Article - Theoretical Physics
The partial waves of 
and their contributions in strong decays
1
Department of Physics and Technology, Hebei University, 071002, Baoding, China
2
Key Laboratory of High-Precision Computation and Application of Quantum Field Theory of Hebei Province, Baoding, China
Received:
26
July
2022
Accepted:
3
August
2022
Published online:
23
August
2022
The relativistic Bethe–Salpeter method is adopted to study the OZI-allowed strong decays of the 
state 
, with emphasis on the relativistic corrections. We first study the partial waves in the wave functions used and find that there are P, D, and F partial waves in the meson, with ratios of 
. We also find that 
for 
, and 
for the B meson. The large components of the D wave in and the P wave in 
mean that large relativistic effects exist in these states. Second, we calculate the strong decays, and the total decay width 
MeV and the branching fraction 
/ 
obtained are consistent with experimental data. Third, we study the contributions of different partial waves in the initial and final wave functions, and find that the relativistic effects are about 
and 
for 
and 
, respectively, which are much smaller than our expected effects, showing that the relativistic corrections cancel each other in these decays.
© The Author(s) 2022
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