Form factors, threshold relations, and large angle elastic scattering of pions

Abstract

The form factor F( q 2) of the pion in a simple core model is investigated, together with the deep inelastic electroproduction structure function, F 2( ω). A relation between these two, analagous to the Drell-Yan-West relation for nucleons, is derived and it is found that F 2 is related to either the form factor or the square of the form factor depending on how rapidly F( q 2) ultimately falls with momentum transfer. The unitarity equation and its implications for this kind of threshold relation are discussed. The simple core model is also applied to elastic large angle ππ scattering.