$B^0$ and $B^0_s$ decays into $J/\psi$ plus a scalar or vector meson

TL;DR

This paper extends a theoretical approach to describe $B^0$ and $B^0_s$ decays into $J/ar{ u}$ and scalar or vector mesons, providing predictions consistent with experimental data and proposing new decay rate estimates.

Contribution

It introduces a unified framework relating scalar and vector meson production in $B$ decays, including new predictions for $ar{ u}$ decays involving $ ext{ extit{kappa}(800)}$.

Findings

Predicted decay rates agree with existing experimental data.

Provided new estimates for $J/\psi$ plus $ ext{ extit{kappa}(800)}$ decay.

Established a connection between scalar and vector meson production in $B$ decays.

Abstract

We extend a recent approach to describe the $B^0$ and $B^0_s$ decays into $J/\psi$ $f_0(500)$ and $J/\psi$ $f_0(980)$, relating it to the $B^0$ and $B^0_s$ decays into $J/\psi$ and a vector meson, $\phi$, $\rho$, $K^*$. In addition the $B^0$ and $B^0_s$ decays into $J/\psi$ and $\kappa(800)$ are evaluated and compared to the $K^*$ vector production. The rates obtained are in agreement with available experiment while predictions are made for the $J/\psi$ plus $\kappa(800)$ decay.