Eur. Phys. J. A (2014) 50: 177
https://doi.org/10.1140/epja/i2014-14177-7

Regular Article - Theoretical Physics

Low-energy neutron-deuteron reactions with N ³ LO chiral forces

¹ M. Smoluchowski Institute of Physics, Jagiellonian University, PL-30059, Kraków, Poland
² Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780, Bochum, Germany
³ Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, 804-8550, Kitakyushu, Japan
⁴ Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
⁵ Institute for Advanced Simulation, Institut für Kernphysik, Jülich Center for Hadron Physics, JARA - High Performance Computing Forschungszentrum Jülich, D-52425, Jülich, Germany
⁶ Institut de Physique Nucléaire, CNRS/Univ. Paris-Sud, 11, (UMR 8608), F-91406, Orsay Cedex, France
⁷ Department of Physics and Astronomy, Iowa State University, 50011, Ames, Iowa, USA
⁸ Institut für Kernphysik, Technische Universität Darmstadt, 64289, Darmstadt, Germany
⁹ Extreme Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291, Darmstadt, Germany
¹⁰ Institut für Kernphysik, Institute for Advanced Simulation, Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
¹¹ Institut für Kernphysik, Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany

^* e-mail: witala@if.uj.edu.pl

Received: 3 October 2014
Accepted: 20 November 2014
Published online: 27 November 2014

Abstract

We solve three-nucleon Faddeev equations with nucleon-nucleon and three-nucleon forces derived consistently in the framework of chiral perturbation theory at next-to-next-to-next-to-leading order in the chiral expansion. In this first investigation we include only matrix elements of the three-nucleon force for partial waves with the total two-nucleon (three-nucleon) angular momenta up to 3 (5/2). Low-energy neutron-deuteron elastic scattering and deuteron breakup reaction are studied. Emphasis is put on A _y puzzle in elastic scattering and cross sections in symmetric-space-star and neutron-neutron quasi-free-scattering breakup configurations, for which large discrepancies between data and theory have been reported.