Model for the Interactionp+p→d+π+in the BeV Region

The reaction $p+p\to d+{\pi }^{+}$ in the BeV region is studied within the one-pion-exchange model with final-state interaction between the neutron and proton to form the deuteron. A simple approximate evaluation of the loop integral gives the final differential cross section in terms of the pion-nucleon coupling constant, the deuteron wave function normalization, the $\pi p$ elastic scattering cross section, and the Ferrari-Selleri form factor. Comparisons with the limited experimental results are made and fairly good agreement is obtained. The large forward scattering cross section near c.m. energy 3.0 BeV is explained in terms of the large backward ${\pi }^{+}p$ elastic scattering cross section at $\pi p$ c.m. energy 1.92 BeV [$I=\frac{3}{2}$, $J=\frac{7}{2}$(?) resonance]. Further implications of the calculation are discussed.