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A b s t r a c t . Nuclear reactions between composite particles with rearrangement processes are considered The cluster model is used in describing the structure of the nuclei. With this structure we have in the initial channel as well as in the final channel, four interacting particles. These reactions are studied as a four-body problem. The scattering amplitudes are approximated by using a separable expansion for the separable potential model. The four-body equations are reduced to integral equations in the form of exact effective two-particle Lippmann-Schwinger equations. These equations are solved by standard methods in a form suitable for numerical calculations. The present four-body treatment is applied calculating the differential cross-sections for different scattering and transfer nuclear remtions. Distorted wave Born approximation calculations are used in calculating the angular distributions. The present theoretical calculations are in good agreement with the experimental angular disrtributions. Stii8e zwischen vier identischen Tcilchen a16 VierkorperproblemI n h a l t s u b e r s i c h t . Es werden Kernprozesse zwischen zusammengesetzten Teilchcn mit Unordnung aYs Vierkorperproblem betrachtet . I m Rahmen einer Entwicklung des separierbaren Potentielmodells werden die Streuamplituden genahert bestimmt. Die Vierkorpergleichungen werden auf Integralgleichungen der Form exakter, effektiver Zweiteilchen-Lippmann-Schwinger-Gleichungen reduziert. Diese werden mit Standardmethoden numerisch gelost. Berechnet werden die differentiellen Wirkuingsquerschnitte fur verschiedene Streu-und Kernumwandlungsreaktionen. Die raumliche Verteilung wird in Bornscher gestorter Wellennaherung bestimmt. Es ergeben sich gute ubereinstimmungen mit dem Experiment.
A b s t r a c t . Nuclear reactions between composite particles with rearrangement processes are considered The cluster model is used in describing the structure of the nuclei. With this structure we have in the initial channel as well as in the final channel, four interacting particles. These reactions are studied as a four-body problem. The scattering amplitudes are approximated by using a separable expansion for the separable potential model. The four-body equations are reduced to integral equations in the form of exact effective two-particle Lippmann-Schwinger equations. These equations are solved by standard methods in a form suitable for numerical calculations. The present four-body treatment is applied calculating the differential cross-sections for different scattering and transfer nuclear remtions. Distorted wave Born approximation calculations are used in calculating the angular distributions. The present theoretical calculations are in good agreement with the experimental angular disrtributions. Stii8e zwischen vier identischen Tcilchen a16 VierkorperproblemI n h a l t s u b e r s i c h t . Es werden Kernprozesse zwischen zusammengesetzten Teilchcn mit Unordnung aYs Vierkorperproblem betrachtet . I m Rahmen einer Entwicklung des separierbaren Potentielmodells werden die Streuamplituden genahert bestimmt. Die Vierkorpergleichungen werden auf Integralgleichungen der Form exakter, effektiver Zweiteilchen-Lippmann-Schwinger-Gleichungen reduziert. Diese werden mit Standardmethoden numerisch gelost. Berechnet werden die differentiellen Wirkuingsquerschnitte fur verschiedene Streu-und Kernumwandlungsreaktionen. Die raumliche Verteilung wird in Bornscher gestorter Wellennaherung bestimmt. Es ergeben sich gute ubereinstimmungen mit dem Experiment.
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