Three Body Bound State Calculation with Two and Three Body Forces without Partial Wave Decomposition

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The Faddeev equation for the three nucleon bound state with including genuine three nucleon forces is solved as function of vector Jacobi momenta without applying partial wave decomposition techniques. The NN as well as the 3N potential are of Malfliet-Tjon type and are also calculated directly as function of vector momenta. When spin degrees of freedom are neglected, the Faddeev equation for identical nucleons is a three dimensional integral equation, which can be solved with standard techniques. We discuss stability and advantages of our algorithm, and study the influence of different 3N forces on the 3N bound state and the 3N wave function in momentum as well as position space. This work is supported in part by the U.S. Department of Energy under contract No. DE-FG02-93ER40756, the National Energy Research Supercomputer Center, the Neumann Institute for Computing and the Ohio Supercomputer Center under grant No. PHS206.

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