International Journal of New Horizons in Physics
Journal license

Journal

International Journal of New Horizons in Physics


Volume
& Issue

Volume 4, Issue 2


Published
on

July 1, 2017


Pages

35-41


DOI

Article

$\alpha$-Cluster optical potential model of pions scattering from $^{28}$Si

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Authors

M. El-Azab Farid Affiliation:
Physics Department, Assiut University, Assuit 71516, Egypt
, A. A. Ebrahim Affiliation:
Department of Physics, Faculty of Science, Assuit University, Assuit, Egypt
, B. M. Elyan* Affiliation:
Physics Department, Sohag University, Sohag 82524, Egypt
, S. R. Mokhtar Affiliation:
Physics Department, Assiut University, Assuit 71516, Egypt
and M. A. El-Zohry Affiliation:
Physics Department, Sohag University, Sohag 82524, Egypt


Abstract

Analysis of $\pi^{\pm} + {}^{28}\text{Si}$ elastic scattering at energies 21.69, 48.9, 130, 180 and 226 MeV and inelastic scattering at energies 130, 180 and 226 MeV leading to the lowest $2^+$ and $3^-$ states of $^{28}\text{Si}$ have been carried out in the framework of the alpha-clustering single folding model. In the elastic scattering analysis, the real part of the considered potential is taken also in the phenomenological Woods-Saxon form besides the alpha-clustering SF model. Our results are compared with the experimental data and gave a good fit. The values of the extracted reaction cross sections in the two cases are similar to each other. The calculated deformation lengths are similar to those estimated from other studies.


Keywords

elastic scattering, inelastic scattering, Pions, alpha-clustering single folding mode


Citation

El-Azab Farid, M., Ebrahim, A. A., Elyan, B. M., Mokhtar, S. R., & El-Zohry, M. A. (2017). $\alpha$-cluster optical potential model of pions scattering from $^{28}$Si. International Journal of New Horizons in Physics, 4(2), 35–41. https://doi.org/10.12785/ijnhp/040202

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