Three-Body Problems with Separable Two-Body Interactions

作者: A. Osman

DOI: 10.1002/ANDP.19804920407

关键词: Continuous variableMathematical physicsFaddeev equationsIntegral equationPhysicsFormalism (philosophy of mathematics)Separable spaceGeneral Physics and Astronomy

摘要: Faddeev equations for the three-body problem are reconsidered using separable two-body interactions. The potentials reduce to coupled integral in one continuous variable. Numerical calculations resulting carried out interactions which include both attraction and repulsion potentials. Each of used is taken as a spin-dependent central force together with tensor forces. potential functions different parts be Yamaguchi, Gaussian, Tabakin, Mongan Reid forms. nuclei 6Li, 9Be 12C composed three particles according cluster structure description nuclei. binding energies calculated framework formalism. Drei-Korper-Problem mit separierbaren Zwei-Korper-Wechselwirkungen Die Faddejew-Gleichungen des 3-Korper-Problems werden unter Benutzung von 2-Korperwechselwirkungen nochmals betrachtet. Die Potentiale reduzieren die auf gekoppelte Integralgleichungen einer einzigen kontinuierlichen Variablen. Es numerische Rechnungen ausgefuhrt uber resultierenden Integral-Gleichungen separierbarer 2-Korper-Wechselwirkungen, welche sowohl anziehende als auch abstosende enthalten. Jede der Anziehungs- bzw. Abstosungspotentiale wird spinabhangige Zentralkraft zusatzlichen Tensorkraften angenommen. Potentialfunktionen verschiedenen Terme 2-Korper-Wechselwirkungen angenommen entsprechend den nach Gauss, u. benannten Formeln. Jeder Kerne und Cluster-Struktur 3 Partikeln zusammengesetzt Bindungsenergie 3-Korper-Problem im Rahmen Faddejew-Formalismus berechnet.

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