Three-body scattering at intermediate energies

Journal Article · Tue Nov 01 04:00:00 EST 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.72.054003· OSTI ID:20699102

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

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1. Institute of Nuclear and Particle Physics and Department of Physics and Astronomy, Ohio University, Athens, Ohio 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, which we are using, is a three-dimensional integral equation in five variables, magnitudes of relative momenta and angles. This equation is solved through Pade summation. Based on a Malfliet-Tjon-type potential, the numerical feasibility and stability of the algorithm for solving the Faddeev equation is demonstrated. Special attention is given to the selection of independent variables and the treatment of three-body breakup singularities with a spline-based method. The elastic differential cross section, semiexclusive d(N,N{sup '}) cross sections, and total cross sections of both elastic and breakup processes in the intermediate-energy range up to about 1 GeV are calculated 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: 20699102
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 72; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGORITHMS
BOSONS
CONVERGENCE
DEUTERONS
DIFFERENTIAL CROSS SECTIONS
FADDEEV EQUATIONS
GEV RANGE
INTEGRAL EQUATIONS
MULTIPLE SCATTERING
NUCLEONS
PARTIAL WAVES
POTENTIALS
S MATRIX
SINGULARITY
THREE-BODY PROBLEM
THREE-DIMENSIONAL CALCULATIONS
TOTAL CROSS SECTIONS
TWO-BODY PROBLEM