Faddeev and Glauber Calculations at Intermediate Energies in a Model for n+d Scattering

Abstract

Obtaining cross sections for nuclear reactions at intermediate energies based on the Glauber formulation has a long tradition. Only recently the energy regime of a few hundred MeV has become accessible to ab-initio Faddeev calculations of three-body scattering. In order to go to higher energies, the Faddeev equation for three-body scattering is formulated and directly solved without employing a partial wave decomposition. In the simplest form the Faddeev equation for interacting scalar particles is a three-dimensional integral equation in five variables, from which the total cross section, the cross sections for elastic scattering and breakup reactions, as well as differential cross sections are obtained. The same observables are calculated based on the Glauber formulation. The first order Glauber calculation and the Glauber rescattering corrections are compared in detail with the corresponding terms of the Faddeev multiple scattering series for projectile energies between 100 MeV and 2 GeV.

arXiv comment12 pages, 12 figures

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• 3N Scattering in a Three-Dimensional Operator Formulation
• A New Approach to the 3D Faddeev Equation for Three-Body Scattering
• Three-body breakup within the fully discretized Faddeev equations
• Elastic Scattering of ${}^6$He based on a Cluster Description
• Path Integrals for Potential Scattering
• Theoretical Study of Spin Observables in $pd$ Elastic Scattering at Energies $T_p=800-1000$ MeV
• A Spin-Isospin Dependent 3N Scattering Formalism in a 3D Faddeev Scheme
• Variational Approximations in a Path-Integral Description of Potential Scattering
• Towards a three dimensional solution for 3N bound states with 3NFs
• Test of the Glauber Formula for Nucleon-Deuteron Scattering at Intermediate Energies