Implications of the Intermediate Boson Basis of the Weak Interactions: Existence of a Quartet of Intermediate Bosons and Their Dual Isotopic Spin Transformation Properties

Partial-wave dispersion relations for pion-nucleon scattering were derived from the Mandelsthm representation. The symmetry of the representation was used to obtain expressions for the discontinuities across the unphysical branch cuts. These expressions involved scattering amplitudes for pion-nucleon scattering and for the process pi + pi yields N + N. In the approximation of neglecting all but the nearest singularities, it was shown that the Chew-Low effective-range formula is a solution to the equations. (auth)