Semiphenomenological Analysis of the Processp+p→d+π+near Threshold

A semiphenomenological calculation of the amplitudes for the process $p+p\to d+{\pi }^{+}$ near threshold is presented, using phenomenological nuclear wave functions. The meson is produced by the usual static $p$-wave interaction and the resulting Galilean invariant $s$-wave interaction. $P$-wave and $s$-wave rescattering of the meson are included. Agreement with experiment is obtained for both $p$-wave production amplitudes. The Galilean-invariant interaction is insufficient to yield the observed $s$-wave production but the contribution of the $s$-wave rescattering, while not well determined, is of sufficient magnitude.