Pion-Deuteron Elastic Scattering at 3.65 BeV/c

Abstract

We have measured the elastic scattering cross section of ${\pi }^{+}$ mesons on deuterium at 3.65 BeV/c. The differential cross section $\frac{d\sigma }{\mathrm{dt}}$ is presented out to $-t\approx 1$ ${(\mathrm{B}\mathrm{e}\mathrm{V}/\mathit{c})}^2$ and a comparison is made with the prediction of the constant-phase Glauber formula. The agreement is good except in the region of the (theoretical) minimum at $-t\approx 0.4$. Starting with the Glauber formula, a method is presented to relate this discrepancy to the phases of $\pi$-nucleon scattering in this region.