Tensor polarization of $ω$ produced at threshold in $p-p$ collisions

Abstract

It is shown that the dominant decay mode of $\vecω\to π^+ π^- π^0$ can be employed to determine the Fano statistical tensor $t^2_0$ of $\vec ω$ with respect to the quantization axis normal to the decay plane. In $pp \to pp \vec ω$ one can choose decay planes with different orientations for a given $ω$ direction, $θ$. By choosing three different experimentally convenient orientations of the decay planes for the same $θ$, one may determine empirically the $t^2_0$ and $t^2_{\pm 2}$ characterising the tensor polarization of $ω$ in the Transverse Frame for $pp \to pp \vec ω$.