International Journal of New Horizons in Physics
Journal license

Journal

International Journal of New Horizons in Physics


Volume
& Issue

Volume 5, Issue 2


Published
on

July 1, 2018


Pages

13-20


DOI

Article

Explicit Solution for the Two-Body Scattering Problem a + b → c + d with High-Precision Interactions

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Authors

Eed M. Darwish* Affiliation:
Physics Department, Faculty of Science, Taibah University, P.O. Box 30002, Al-Madinah Al-Munawarah 41411, Saudi Arabia; Physics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
and Eman M. Mahrous Affiliation:
Physics Department, Faculty of Science, Taibah University, P.O. Box 30002, Al-Madinah Al-Munawarah 41411, Saudi Arabia


Abstract

Explicit solution is given for the two-body scattering problem a + b → c + d with realistic and high-precision interactions. Formal expressions for the general two-fold differential cross section and the two-body scattering matrix are developed. In addition, the two-body scattering equation with a realistic two-body interaction is solved. The scattering phase shifts are calculated and compared with the data points from SAID analysis.


Keywords

Scattering theory, Matrix theory, Partial wave analysis, Two-nucleon system


Citation

Darwish, E. M. & Mahrous, E. M. (2018). Explicit solution for the two-body scattering problem a + b → c + d with high-precision interactions. International Journal of New Horizons in Physics, 5(2), 13–20. https://doi.org/10.18576/ijnhp/050201

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