https://doi.org/10.1140/epja/s10050-020-00079-y
Regular Article –Theoretical Physics
Meson exchange between initial and final state and the 
ratio in the 
reactions
1
Department of Life and Environmental Agricultural Sciences, Tottori University, Tottori, 680-8551, Japan
2
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigacíon de Paterna, Aptdo. 22085, 46071, Valencia, Spain
3
Department of Physics, Liaoning Normal University, Dalian, 116029, China
4
Department of Physics, College of Sciences, Northeastern University, Shenyang, 110819, China
* e-mail: dailr@lnnu.edu.cn
Received:
6
November
2019
Accepted:
29
January
2020
Published online:
28
February
2020
We perform a calculation of the strong interaction effects between the B and D mesons in the 
reaction, as a crossing process of reactions with BD in the final state, where the strong interaction between the mesons leads to a bound BD state. We find corrections to the tree level amplitude of the order of 15–25
. We further see the effect of the corrections studied in the ratio for the rates of 
and 
decays and find corrections of the order of 
. Given the claims of 
precision in this ratio from fits to data within the standard model, any theoretical model aiming at describing this ratio within the same precision must take into account the corrections described in the present work.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
