Regular Article - Theoretical Physics
Bound-state calculations of the three-dimensional Yakubovsky equations with the inclusion of three-body forces
Department of Physics, University of Tehran, P.O. Box 14395-547, Tehran, Iran
Accepted: 24 April 2008
Published online: 15 May 2008
The four-body Yakubovsky equations in a three-dimensional approach with the inclusion of the three-body forces are proposed. The four-body bound state with two- and three-body interactions is formulated in the three-dimensional approach for identical particles as a function of vector Jacobi momenta, specifically, the magnitudes of the momenta and the angles between them. The modified three-dimensional Yakubovsky integral equations are successfully solved with the scalar two-meson exchange three-body force, where the Malfliet-Tjon-type two-body force is implemented. The three-body force effects on the energy eigenvalue and the four-body wave function, as well as accuracy of our numerical calculations are presented.
PACS: 21.45.-v Few-body systems – / 21.45.Ff Three-nucleon forces – / 21.10.Dr Binding energies and masses –
© Società Italiana di Fisica and Springer-Verlag, 2008