ANALYSIS OF NUCLEON-NUCLEON SCATTERING EXPERIMENTS
Presented at session S-1 of the Tenth Annual Interational Conference on High-Energy Physics, Rochester, New York, August 25- September 1, 1960. The analysis of the latest experiments on p-p scattering at 210 Mev makes it probable that there is a unique set of phase shifts at this energy. Under reasonable assumptions about continuity of the phase shifts and the behavior of the higher partial waves, it is possible to pick a unique solution also at 310 and 95 Mev. This opens a new era in the analysis of nucleon-nucleon scattering, which should lead to a unique model for the scattering matrix up to 400 Mev. Theoretical attempts to calculate a "meson potential" from field theory have not been successful, and the semiphenomenological potential models, although now in good qualitative agreement with experiment, are not quantitatively reliable. Instead of using these models as a basis for an energy-dependent parameterization of the scattering matrix, as was done by Breit and his collaborators, it is here argued that the Mandelstam representation offers a more reliable starting point. A formalism is developed which allows the one and two pion exchange interaction to be included exactly and gives a Lorentzinvariant description of the rest of the interaction. Coulomb effects are included in single pion exchange, and it is shown that the /sup 1/S/sub O/ n-p and p-p states are charge independent within the region of the remaining theoretical uncertainties. A new analysis is presented of n-p total cross sections between 1 and 14 Mev which obtains a value of 2.67 approximately 0.03 for the singlet effective range, in good agreement with the theoretical prediction. Results of an energy-dependent analysis of 387 pieces of p-p data reported elsewhere are examined from the point of view of the Mandelstam representation. The parameters which fit the /sup 1/S/sub O/ state are inconsistent with the theory if the interaction cut is replaced by four poles. Including single pion exchange as a continuous cut and representing multiparticle exchanges by poles gives a theoretically consistent model for this state. (auth)
- Research Organization:
- California. Univ., Livermore. Lawrence Radiation Lab.
- DOE Contract Number:
- W-7405-ENG-48
- NSA Number:
- NSA-15-000832
- OSTI ID:
- 4148599
- Report Number(s):
- UCRL-6108-T
- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-61
- Country of Publication:
- United States
- Language:
- English
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