Effects of final state interaction in B^+_c to D^0 K^+ decay

Abstract

In this paper, the decay of Bc+ meson, which consists of two b and c heavy quarks, into the Do and K+ mesons was studied. Given that the experimental branching ratio for this decay was within the range of 3.75*10-5 to 11.16*10-5; it was decided to calculate the theoretical branching ratio by applying the final state interaction (FSI) through the T and cross-section channels. In this process, before the Bc+ meson was decayed into two final state mesons of DoK+, it was first decayed into two intermediate mesons like j/ψDs*+; then, these two mesons were transformed into two final mesons by exchanging another meson like Do. The FSI effects were very sensitive to the changes in the phenomenological parameter, which appeared in the form factor relation; this is since in most calculations, changing two units in this parameter makes the final result be multiplied by the branching ratio; therefore, the decision to use FSI was not unexpected. In this study, there were nineteen intermediate states in which the contribution of each one was calculated and summed in the final amplitude. Therefore, the numerical value of the branching ratio of +B+c →DoK decay was obtained by calculating the FSI effects from 1.75 * 10-5to 11.65 * 10-5, which was consistent with the experimental results

Keywords

• standard model
• factorization
• final state interaction