Relativistic effects in exclusive pd breakup scattering at intermediate energies

The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is achieved by constructing a dynamical unitary representation of the Poincaré group...

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Veröffentlicht in:Physics letters. B 2008-02, Vol.660 (4), p.345-349
Hauptverfasser: Lin, T., Elster, Ch, Polyzou, W.N., Glöckle, W.
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container_issue 4
container_start_page 345
container_title Physics letters. B
container_volume 660
creator Lin, T.
Elster, Ch
Polyzou, W.N.
Glöckle, W.
description The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is achieved by constructing a dynamical unitary representation of the Poincaré group on the three-nucleon Hilbert space. The exclusive breakup reaction at 508 MeV is calculated based on a Malfliet–Tjon type two-body interaction and the cross sections are compared to measured cross sections at this energy. We find that the magnitude of the relativistic effects can be quite large and depends on the configurations considered. In spite of the simple nature of the model interaction, the experimental cross sections are in surprisingly good agreement with the predictions of the relativistic calculations. We also find that although for specific configurations the multiple scattering series converges rapidly, this is in general not the case.
doi_str_mv 10.1016/j.physletb.2008.01.012
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source ScienceDirect Journals (5 years ago - present)
subjects [formula omitted] scattering
BREAKUP REACTIONS
Exact sciences and technology
Faddeev equation
FADDEEV EQUATIONS
MULTIPLE SCATTERING
Nuclear physics
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEON-NUCLEON INTERACTIONS
NUMERICAL SOLUTION
Physics
Relativistic quantum mechanics
The physics of elementary particles and fields
The quantum mechanical three-body problem
THREE-BODY PROBLEM
title Relativistic effects in exclusive pd breakup scattering at intermediate energies
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