The aim of this paper is to establish the exact quantization conditions for the three-body Toda lattice. The Hamiltonian consists of the kinetic energy for three particles in one dimension, and of the potential energy which couples each particle to its two companions through an exponential spring. A
Non-eikonal effects in high-energy scattering IV. Inelastic scattering
โ Scribed by S.A Gurvitz; L.P Kok; A.S Rinat
- Book ID
- 102987234
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 625 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0003-4916
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โฆ Synopsis
We calculate amplitudes of inelastically scattered high-energy projectiles. For the example of scattering on 12C (T, = 1 GeV) we demonstrate sizeable non-eikonal corrections in diffraction extrema even for relatively small q*. At least part of the anomaly in the 3-distribution may be due to these non-eikonal effects.
1. Introduction
A simple and frequently used tool for the description of high-energy scattering is the eikonal or Glauber limit of the multiple scattering series.l Indeed a reasonably satisfactory account has been given for a large body of elastic and inelastic high energy scattering data for a variety of targets.
In the course of the past few years refinements have been added and applied like the inclusion of spin effects,ls2 Coulomb distortions ls3 etc. In an alternative approach one constructs for elastic scattering an optical potential based on a multiple scattering series and standard manipulations also enable a description of inelastic scattering.4
It is clear that as a high-energy and low momentum transfer limit, the Glauber theory will be in need of corrections if applications are made for data over a wider angular range. These have first been studied for potential theories5 and later on for scattering on composite targets. 6*7,* Large so-called non-eikonal corrections are systematically found for large angles, but not exclusively so. It has been emphasized that also interference patterns in angular distributions for relatively small angles may be sensitive to noneikonal corrections.6m7
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