Bound-state calculations of the three-dimensional Yakubovsky equations with the inclusion of three-body forces |
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Authors: | M R Hadizadeh S Bayegan |
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Institution: | (1) Department of Physics, University of Tehran, P.O. Box 14395-547, Tehran, Iran |
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Abstract: | 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. |
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Keywords: | PACS" target="_blank">PACS 21 45 -v Few-body systems 21 45 Ff Three-nucleon forces 21 10 Dr Binding energies and masses |
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