Modified Analysis of Nucleon-Nucleon Scattering. II. Completed Analysis of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:math>Scattering at 310 Mev

Abstract

The application of a recently suggested modified method of analysis of nucleon-nucleon scattering experiments to $p\ensuremath{-}p$ scattering at 310 Mev has been completed. The results are summarized and compared with the work of Gammel and Thaler and of Signell and Marshak. The analysis is carried out on several levels, with varying number of angular momentum states being described by phenomenological phase shifts while the higher angular momentum states are represented by the one-pion exchange contribution. It is found that the inclusion of the high angular momentum states in this manner makes a significant improvement in the analysis. The pion-nucleon coupling constant is also determined from the data with a fair accuracy. The five "best" sets of phase shifts of the conventional analysis are reduced to two sets, corresponding to Solution 1 and 2 of the conventional analysis. Some slight evidence favors Solution 1 over Solution 2. It is shown that a very satisfactory fit can be obtained with nine parameters instead of the 14 parameters of the conventional analysis. Some remarks are made about the extent to which Solutions 1 and 2 are distinct. Experiments are suggested which could resolve the remaining ambiguity due to the existence of two sets of phase shifts.