$\bar{B}^0$ and $\bar{B}^0_s$ decays into $J/\psi$ and $f_0(1370),~f_0(1710),~f_2(1270),~f'_2(1525),~K^*_2(1430)$

TL;DR

This paper predicts ratios of branching fractions for ${ar B}^0$ and ${ar B}^0_s$ decays into $J/A$ and various scalar and tensor mesons using chiral unitary theory, and compares predictions with recent experimental data.

Contribution

It introduces a theoretical framework based on chiral unitary theory to predict decay ratios involving mesons generated from vector meson interactions.

Findings

Eight independent decay ratios are predicted.

Comparison with recent data on $ar{B}_s^0$ decays shows consistency.

Supports the meson generation mechanism from vector meson interactions.

Abstract

We make predictions for the ratios of branching fractions of ${\bar B}^0$ and ${\bar B}^0_s$ decays into $J/\psi$ and the scalar mesons $f_0(1370),~f_0(1710)$ or tensor mesons $f_2(1270),~f'_2(1525),~K^*_2(1430)$. The theoretical approach is based on results of chiral unitary theory where these resonances are shown to be generated from the vector meson-vector meson interaction. Eight independent ratios can be predicted and comparison is made with the recent data on $\bar{B}^0_s$ decay into $J/\psi f'_2(1525)$ versus the $\bar{B}^0_s$ decay into $J/\psi f_2(1270)$.