Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces

Details Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces Bound State Calculations of the Three-Dimensional Yakubovsky Equations with the inclusion of Three-Body Forces

2007-04-16

arxiv.org/abs/0704.2056v2

Eur. Phys. J. A 36, 201-209 (2008)

Physics

Nuclear Physics

Nuclear Theory

23 pages, 2 eps figures, 5 tables. Major changes; version to appear in European Physical Journal A

Scientific paper

10.1140/epja/i2008-10583-8

The four-body Yakubovsky equations in a Three-Dimensional approach with the inclusion of the three-body forces is proposed. The four-body bound state with two- and three-body interactions is formulated in Three-Dimensional approach for identical particles as function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angles between them. The modified three dimensional Yakubovsky integral equations is 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.The four-body Yakubovsky equations in a Three-Dimensional approach with the inclusion of the three-body forces is proposed. The four-body bound state with two- and three-body interactions is formulated in Three-Dimensional approach for identical particles as function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angles between them. The modified three dimensional Yakubovsky integral equations is 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.

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