Soft Rescattering in the Timelike Proton Form Factor Within a Spacetime Scheme

The annihilation of a lepton pair into a proton-antiproton pair, and the time-reverse process allow for a measurement of the timelike proton form factors (FFs). This work aims at studying the corrections due to direct soft interactions between the proton and the antiproton before their annihilation or after their creation. The analysis is carried out in the spacetime formalism used by us in a series of recent works on timelike FFs. In particular the effect of (p) over barp annihilation into many-meson states is considered. We expect it to determine similar real and imaginary parts for the form factor near the (p) over barp channel threshold. We also discuss the possibility that the timelike FFs differ by a phase in the hadron pair production and annihilation.