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Calculations of Three-Nucleon Reactions
Authors:H Witała  J Golak  R Skibiński  K Topolnicki  H Kamada  E Epelbaum  W Glöckle  H Krebs  W N Polyzou  A Nogga
Institution:1. M. Smoluchowski Institute of Physics, Jagiellonian University, 30059, Kraków, Poland
2. Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, Kitakyushu, 804-8550, Japan
3. Institut für theoretische Physik II, Ruhr-Universit?t Bochum, 44780, Bochum, Germany
4. Department of Physics and Astronomy, The University of Iowa, Iowa City, IA, 52242, USA
5. Forschungszentrum Jülich, Institut für Kernphysik, Institute for Advanced Simulation and Jülich Center for Hadron Physics, 52425, Jülich, Germany
Abstract:Faddeev calculations using the chiral three-nucleon force in next-to-next-to-next-to-leading-order show that this force is too weak to provide an explanation for the low-energy A y puzzle. The large discrepancy between data and theory for the neutron–neutron quasi-free-scattering cross section in low energy neutron–deuteron breakup requires a modification of the ${^{1}S_0}$ neutron–neutron force. We discuss the consequences that a bound ${^{1}S_0}$ state of two neutrons has on neutron–deuteron scattering observables. At higher energies we compare the solutions of the non-relativistic three-nucleon Faddeev equations with three-nucleon force included to the solutions of its Poincaré invariant version.
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