Aspects ofa0-f0mixing in the reactionp→n→da0

Abstract

Some aspects of ${a}_{0}^{0}$-${f}_{0}$ mixing effects in the reaction $\stackrel{\ensuremath{\rightarrow}}{p}\stackrel{\ensuremath{\rightarrow}}{n}{\mathrm{da}}_{0}^{0}$ with perpendicular polarized proton beam are discussed. An angular-asymmetry parameter A is defined to study those effects. It is shown that, for energies close to the production threshold, the angular-asymmetry parameter $A(\ensuremath{\theta},\ensuremath{\varphi})$ is proportional to the ${a}_{0}^{0}$-${f}_{0}$ mixing amplitude for arbitrary polar and azimuthal angles $\ensuremath{\theta}$ and $\ensuremath{\varphi}$ of the outgoing ${a}_{0}$ meson. This statement is also valid for arbitrary energies, but then only at polar angles $\ensuremath{\theta}=0\ifmmode^\circ\else\textdegree\fi{}$ and $\ensuremath{\theta}=90\ifmmode^\circ\else\textdegree\fi{}.$ The mass dependence of the differential cross section $d\ensuremath{\sigma}{/dm}_{{\ensuremath{\pi}}^{0}\ensuremath{\eta}}$ in the reaction $p\stackrel{\ensuremath{\rightarrow}}{n}d{\ensuremath{\pi}}^{0}\ensuremath{\eta}$ in the presence of ${a}_{0}^{0}$-${f}_{0}$ mixing is also discussed.