THEORY OF LOW ENERGY NUCLEON-NUCLEON SCATTERING. PART I
The nucleon-nucleon interaction at energies below the threshold for inelastic processes, was studied, using a method based on the Cini-Fubini approach to the double integral representation technique. The essential idea was to treat all the singularities of the amplitudes for values of the variables lying near their physical region, taking full advantage of the symmetry of the Mandelstam representation. The spectral functions were calculated using unitarity, both in the nucleon-nucleon and in the nucleon-antinucleon channels. In the latter the two-pion contribution was calculated in terms of pion-nucleon scattering and contained amplitudes characterizing the low waves of the NN-bar yields 2 pi process. The construction of integral equations for the partial- wave amplitudes is discussed. The nucleon-nucleon amplitude was developed in terms of linear combinations of the Fermi operators chosen to have simple properties under crossing, and whose invariant coefficients were shown to satisfy a Mandelstam representation in 4th order perturbation theory. (auth)
- Research Organization:
- European Organization for Nuclear Research, Geneva
- NSA Number:
- NSA-14-026223
- OSTI ID:
- 4137808
- Journal Information:
- Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10) 17; ISSN NUCIA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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