Three-body scattering without partial waves

Journal Article · Fri May 06 04:00:00 EDT 2005 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1932988· OSTI ID:20722318

Liu, H; Elster, Ch ^[1]; Gloeckle, W ^[2]

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1. Institute of Nuclear and Particle Physics, Ohio University, Athens, OH 45701 (United States)
2. Institute for Theoretical Physics II, Ruhr-University Bochum, D-44780 Bochum (Germany)

The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation for identical bosons is a three-dimensional integral equation in five variables, magnitudes of relative momenta and angles. The elastic differential cross section, semi-exclusive d(N,N') cross sections and total cross sections of both elastic and breakup processes in the intermediate energy range up to about 1 GeV are calculated based on a Malfliet-Tjon type potential, and the convergence of the multiple scattering series is investigated in every case. In general a truncation in the first or second order in the two-body t-matrix is quite insufficient.

• OSTI ID: 20722318
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 768; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
FADDEEV EQUATIONS
GEV RANGE
INTEGRAL EQUATIONS
MULTIPLE SCATTERING
NUCLEON-NUCLEON INTERACTIONS
NUMERICAL ANALYSIS
PARTIAL WAVES
POTENTIALS
RELATIVISTIC RANGE
S MATRIX
THREE-BODY PROBLEM
THREE-DIMENSIONAL CALCULATIONS
TWO-BODY PROBLEM