Production and Absorption of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Wave Pions at Low Energy by Two Nucleons

Abstract

The cross sections for the reactions $p+p\ensuremath{\rightarrow}d+{\ensuremath{\pi}}^{+}$ and $p+p\ensuremath{\rightarrow}p+p+{\ensuremath{\pi}}^{0}$ are calculated for $s$-wave pions at threshold. The pion is produced by either nucleon and emitted directly or rescattered in an $s$ wave by the second nucleon, through a modified static interaction. The two nucleons interact through a phenomenological potential. For the Hamada-Johnston potential both calculated cross sections agree with experimental results. Application of the method of calculation to the nuclear absorption of $s$-wave pions is discussed.