Regular Article - Theoretical Physics
The partial waves of and their contributions in strong decays
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
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.
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