Two step mechanism of $\eta ,{\eta }^{\prime },\omega ,\varphi$ meson prodction in $pD{\to }^{3}He$ reaction$

Abstract

The differential cross sections of $pD{\to }^{3}HeX$ reactions, where $X=\eta ,{\eta }^{\prime },\omega ,\varphi$, are calculated on the basis of a two-step mechanism involving the subprocesses $pp\to d{\pi }^{+}$ and ${\pi }^{+}n\to Xp$. It is shown that this model describes well the form of energy dependence of available experimental cross sections at the final c.m.s. momentum $p^{\ast }$=0.4-1$GeV/c$ for the $\eta$ and at $p^{\ast }=0-0.5$ GeV/c for the $\omega$ meson as well as the ratios $R({\eta }^{\prime }/\eta )$ and $R(\varphi /\omega )$. The absolute value of the cross section is underestimated by an overall normalization factor of about 3 for $\eta ,{\eta }^{\prime }$ and by nearly one order of magnitude for $\omega$ and $\varphi$. The spin-spin correlations are predicted for the reaction $\vec{D}\vec{p}{\to }^{3}HeX$ in the forward-backward approximations for the elementary amplitudes.

Comments: 10 pages, 6 figures; Ref.[5] changed