THE TWO-PION EXCHANGE CONTRIBUTION TO THE HIGHER PARTIAL WAVES OF NUCLEON- NUCLEON SCATTERING (thesis)
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)
- Research Organization:
- California Univ., Berkeley, CA (US). Lawrence Radiation Lab.
- DOE Contract Number:
- W-7405-ENG-48
- NSA Number:
- NSA-14-024777
- OSTI ID:
- 4151853
- Report Number(s):
- UCRL-9249
- Country of Publication:
- United States
- Language:
- English
Similar Records
EXPRESSION OF THE AMPLITUDE OF THE REACTION 2$pi$ $Yields$ N/anti/N IN TERMS OF THE PHASE-SHIFTS OF $pi$ - $pi$ AND $pi$ - N SCATTERING
THEORY OF LOW ENERGY NUCLEON-NUCLEON SCATTERING. PART I