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

TL;DR

This paper compares Faddeev and Glauber calculations for n+d scattering at intermediate energies, extending Faddeev methods to higher energies without partial wave decomposition and analyzing their agreement across a broad energy range.

Contribution

It formulates and solves the Faddeev equation directly in three dimensions for scalar particles at intermediate energies, enabling comparison with Glauber calculations up to 2 GeV.

Findings

Faddeev and Glauber results show good agreement at energies above 100 MeV.

Glauber rescattering corrections improve the accuracy of the first-order approximation.

The approach extends three-body scattering calculations to higher energies without partial wave expansion.

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.