Effect of ππ Interaction on High-Energy πp Scattering

A. N. Mitra
Phys. Rev. 103, 752 – Published 1 August 1956
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Abstract

The object of this paper is to examine the possibility of explaining the second maximum in (πp) scattering in the framework of the Tamm-Dancoff approximation for (πp) interaction, by postulating a resonant ππ interaction in the isotopic spin state I=0 of the ππ system. For this purpose the Tamm-Dancoff method in pseudosclar theory, as formulated by Dyson and others, is first extended so as to include the effects of a ππ interaction. This is achieved by introducing a Green's function whose form is determined on the assumption of a zero-range ππ interaction in the state I=0 of the ππ system. The solution of the "modified" integral equation is greatly simplified by assuming the πp interaction to be weak compared with the ππ interaction (the reasons for which are given). The total inelastic cross section is then derived by using the unitary property of the S matrix.

It is found that the Tamm-Dancoff approximation is unable to explain the (πp) maximum on the basis of the proposed model. This is contrary to the result derived by other authors, who used the impulse approximation for the interaction of the incident meson with the meson cloud surrounding the nucleon.

  • Received 19 December 1955

DOI:https://doi.org/10.1103/PhysRev.103.752

©1956 American Physical Society

Authors & Affiliations

A. N. Mitra

  • Department of Physics, Muslim University, Aligarh, U. P., India

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Issue

Vol. 103, Iss. 3 — August 1956

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