HighEnergy LargeAngle ProtonProton Scattering
Abstract
The impactparameter representation involving J_{0}(kb ϑ) rather than J_{0}(2kb 12ϑ) is used to study highenergy largeangle protonproton scattering. We present a model in which the exponential law in kϑ holds for large values of kϑ. This model would thus agree with the Orear fit and, equivalently, for given s, with the CERN fit. An undesirable feature of the theory is that the schannel Regge poles must retreat to and reside at the negative odd integers for the exponential law to hold. We discuss next an optical model where the Regge poles are not so constrained. This leads to a power law in kϑ. For the power law to hold, the requirement is that the Regge poles should be confined to the left half l plane. We present a complete graphical analysis of present highenergy largeangle data. The power law fits over a wider range of angles than does the exponential law. In this sense, the power law is a better fit. The actual power law approaches an inverse eighth power in k^{2}^{2}ϑ. This agrees with the WuYang suggestion that dσdΩ~GM4(k^{2}^{2}ϑ), since the nucleon form factor falls off as the inverse square of its argument.
 Publication:

Physical Review
 Pub Date:
 November 1968
 DOI:
 10.1103/PhysRev.175.1741
 Bibcode:
 1968PhRv..175.1741C