Mixing of $\eta - \eta'$ in charge-exchange reactions and decays of mesons with heavy quarks

TL;DR

This paper investigates the mixing of eta and eta' mesons in charge-exchange reactions and heavy meson decays, explaining observed cross-section ratios through rescattering effects and estimating the meson mixing angle.

Contribution

It introduces a model incorporating rescattering and annihilation effects to explain eta-eta' production ratios and estimates the meson mixing angle from various decay processes.

Findings

Rescattering and annihilation effects explain the eta/eta' cross-section dependence.

Estimated meson mixing angle consistent with decay data.

Describes yield ratios in B and J/psi meson decays.

Abstract

Involving of elastic rescattering and annihilation of quark-antiquark pairs in a final state allows us to explain a dependence of ratio for cross sections of $\eta'$ and $\eta$ mesons versus transfer momentum in charge exchange reactions. We estimate the mixing angle of mesons with isoscalar states of $\bar u u+\bar d d$ and $\bar s s$ of hidden strangeness. The evaluation includes the consistent description of yield ratio for $\eta'$ and $\eta$ mesons in decays of $B^0$, $B^0_s$ and $J/\psi$ mesons.