Inverse-square interaction potential in the multiple collision model of light ion reflection

Astronomy and Astrophysics – Astronomy

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Scientific paper

The linear Boltzmann transport equation for diffusion and slowing down of low-energy light ions in solids is Laplace transformed in relative path-length and solved by applying the DP0 technique. The ion-target atom interaction potential is assumed to have a form of the inverse-square law and furthermore, the collision integral of the transport equation is replaced by the P_3 approximation in angular variable. The approximative Laplace transformed solution for the reflection function is found and inverted leading to the distribution of backscattered particles in the relative path-length. Analytic expression for the particle reflection coefficient was derived and our result is compared with computer simulation data.

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