One dimensional scattering of a two body interacting system by an infinite wall

Details One dimensional scattering of a two body interacting system by an infinite wall One dimensional scattering of a two body interacting system by an infinite wall

2010-10-24

arxiv.org/abs/1010.4933v1

Physics

Nuclear Physics

Nuclear Theory

37 pages, 8 figures

Scientific paper

The one-dimensional scattering of a two body interacting system by an infinite wall is studied in a quantum-mechanical framework. This problem contains some of the dynamical features present in the collision of atomic, molecular and nuclear systems. The scattering problem is solved exactly, for the case of a harmonic interaction between the fragments. The exact result is used to assess the validity of two different approximations to the scattering process. The adiabatic approximation, which considers that the relative co-ordinate is frozen during the scattering process, is found to be inadequate for this problem. The uncorrelated scattering approximation, which neglects the correlation between the fragments, gives results in accordance with the exact calculations when the scattering energy is high compared to the oscillator parameter.

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