Open AccessTHE TWO-PION EXCHANGE CONTRIBUTION TO THE HIGHER PARTIAL WAVES OF NUCLEON- NUCLEON SCATTERING (thesis)
Author(s) -
Peter Cziffra
Publication year - 1960
Language(s) - English
Resource type - Reports
DOI - 10.2172/4151853
Subject(s) - unitarity , physics , amplitude , nucleon , scattering amplitude , scattering , quantum electrodynamics , pion , dispersion relation , mathematical physics , invariant (physics) , particle physics , quantum mechanics
By means of the Mandelstam representation, expressions are obtained for the two-pion-exchange contributions to the higher partial waves of N-N scattering. A set of ten invariant amplitudes is selected, of which each member obeys the Mandelstam representation. Dispersion relations are written for the amplitudes in which the discontinuities are absorptive parts for N-bar-N scattering. By means of the unitarity condition the absorptive parts are expressed as a partial- wave expansion in terms of the pi pi - NN partialwave amplitudes of Frazer and Fulco, except for the contributions of the pole in the pi -N system which are treated exactly in order to ensure better convergence of the partial-wave expansion. The N-N transition amplitudes in the angular-momentum representation are expressed in terms of the invariant amplitudes. (auth