Bound-state calculations of the three-dimensional Yakubovsky equations with the inclusion of three-body forces
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- 作者：M. R. Hadizadeh and S. Bayegan
- 关键词：PACS. 21.45. ; v Few ; body systems ; 21.45.Ff Three ; nucleon forces ; 21.10.Dr Binding energies and masses
- 刊名：The European Physical Journal A - Hadrons and Nuclei
- 出版时间：May, 2008
- 出版年：2008
- 期刊代码：41_1434-6001
- 类别：en
- 卷：36
- 期：2
- 页码：201-209
- 数据来源：sp
摘要
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.