Abstract
We solved the Faddeev equation in a Poincaré invariant model of the three-nucleon system. Two-body interactions are generated so that when they are added to the two-nucleon invariant mass operator (rest energy) the two-nucleon S matrix is identical to the experimental S matrix modeled with a given nucleon–nucleon interaction. Cluster properties of the three-nucleon S-matrix determine how these two-nucleon interactions are embedded in the three-nucleon mass operator. Differences in the predictions of the relativistic and corresponding non-relativistic models for elastic and breakup processes are investigated. Of special interest are effects of relativity on the elastic scattering angular distribution and total cross sections, the lowering of the A y maximum in elastic nucleon-deuteron (Nd) scattering below ≈25 MeV caused by the Wigner spin rotations and the significant changes of the breakup cross sections in certain regions of the phase-space.
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Acknowledgments
This work was supported by the 2008–2011 science funds as the research project No. N N202 077435. It was also partially supported by the Helmholtz Association through funds provided to the virtual institute “Spin and strong QCD” (VH-VI-231) and by the European Community-Research Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (acronym HadronPhysics2, Grant Agreement no. 227431) under the Seventh Framework Programme of EU. The numerical calculations were performed on the supercomputer cluster of the JSC, Jülich, Germany.
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“Relativistic Description of Two- and Three-Body Systems in Nuclear Physics”, ECT*, October 19–23, 2009.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Witała, H., Golak, J., Skibiński, R. et al. Relativistic Effects in Neutron–Deuteron Elastic Scattering and Breakup. Few-Body Syst 49, 61–64 (2011). https://doi.org/10.1007/s00601-010-0098-4
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DOI: https://doi.org/10.1007/s00601-010-0098-4