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Rearrangement Collisions between Four Identical Particles as a Four‐Body Problem
Author(s) -
Osman Ahmed
Publication year - 1988
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19885000605
Subject(s) - physics , separable space , scattering , many body problem , integral equation , differential equation , nuclear reaction , born approximation , scattering amplitude , classical mechanics , two body problem , cluster (spacecraft) , particle (ecology) , angular momentum , quantum electrodynamics , quantum mechanics , mathematical analysis , mathematics , oceanography , computer science , programming language , geology
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 reactions. Distorted wave Born approximation calculations are used in calculating the angular distributions. The present theoretical calculations are in good agreement with the experimental angular distributions.