Electroproduction of pions on pions and the possibility of experimental investigation of theρπγvertex

Abstract

Possibilities of experimental investigation of the reaction of electroproduction of pions on pions are examined. For this purpose the absolute cross section of the reaction $\ensuremath{\pi}e\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}e$ is calculated with the use of analytic properties of an inelastic pion form factor. It is shown that the discussed reaction can be a good source of information on the $\ensuremath{\rho}\ensuremath{\pi}\ensuremath{\gamma}$ vertex. Pion beams from the doubler at Fermilab will have sufficient energy to allow for experimental studies of this reaction.