Abstract
The effects of final state pion-pion interactions on the spectrum of decay is studied by dispersion relation methods. In the approximations adopted we are led to a set of linear integral equations for the amplitudes of the decay. The kernels in these equations depend on the pion-pion -wave scattering amplitudes. An approximate solution for these equations is obtained by iteration and the departures from a purely statistical spectrum for the decay are related to pion-pion -wave scattering. The latter in turn is assumed to be well represented with a scattering length structure. The spectrum then is parametrized by two quantities, the and pion-pion -wave scattering lengths, and . Such experimental results as presently exist indicate that is positive and that roughly , in units of the pion Compton wavelength.
- Received 16 March 1960
DOI:https://doi.org/10.1103/PhysRev.119.1115
©1960 American Physical Society