The physics of the $\eta$--$\eta'$ system versus $B^0 \rightarrow J/\Psi \ \eta (\eta')$ and $B_s \rightarrow J/\Psi \ \eta (\eta')$ decays

TL;DR

This paper applies a theoretical approach to the $$ problem to calculate decay width ratios involving $$ and $'$ mesons in B meson decays, matching experimental results.

Contribution

It introduces a novel theoretical method based on the $$ problem to predict decay ratios in B meson decays involving $$ and $'$ mesons.

Findings

Calculated decay ratios agree with experimental data.

The approach provides insights into the $$--$'$ system.

Supports the theoretical framework for meson decay analysis.

Abstract

An approach to the properties of the $\eta$--$\eta'$ system developed to solve the famous $U(1)$ problem is used to calculate the partial widths ratios to $\eta$ and $\eta'$ in the $B^0 \rightarrow J/\Psi \ \eta(\eta',\ \pi^0)$ and $B_s \rightarrow J/\Psi \ \eta(\eta')$ decays. We obtain the results in agreement with the experimental data.