Rescattering effect in J/Psi(Psi') to 3 pi decay and rho-pi puzzle
Peng Guo
Indiana University
It is suggested that final state interaction may play important role in
rho - pi puzzle. In this work, we propose and investigate corrections
to naive isobar model from three body rescattering effect in
J/Psi(Psi') --> 3 pi channels. By taking into account constraints from
unitarity and analyticity, a set of coupled single variable integral
equations about three-body amplitudes are derived from dispersion
relation, and they are suitable for numerical evaluation and
experimental data fitting. We conclude that the long distance final
state interaction could not be the cause of rho - pi puzzle.