Eur. Phys. J. A (2010) 43: 241-250
https://doi.org/10.1140/epja/i2009-10903-6

Special Article - Tools for Experiment and Theory

A new way to perform partial-wave decompositions of few-nucleon 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 Institut für Kernphysik (Theorie) and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
⁴ Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425, Jülich, Germany
⁵ Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany
⁶ Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, 804-8550, Kitakyushu, Japan
⁷ Institute of Nuclear and Particle Physics, Department of Physics and Astronomy, Ohio University, 45701, Athens, OH, USA
⁸ Departemen Fisika, Universitas Indonesia, 16424, Depok, Indonesia

^* e-mail: roman.skibinski@uj.edu.pl

Received: 21 November 2009
Accepted: 23 November 2009
Published online: 17 December 2009

Abstract

We formulate a general and exact method of partial-wave decomposition (PWD) of any nucleon-nucleon (NN) potential and any three-nucleon (3N) force. The approach allows one to efficiently use symbolic algebra software to generate the interaction-dependent part of the program code calculating the interaction. We demonstrate the feasibility of this approach for the one-boson exchange BonnB potential, a recent nucleon-nucleon chiral force and the chiral two-pion-exchange three-nucleon force. In all cases very good agreement between the new and the traditional PWD is found. The automated PWD offered by the new approach is of the utmost importance in view of future applications of numerous chiral N3LO contributions to the 3N force in three-nucleon calculations.