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Analysis of 12C + 12C Elastic Scattering for Energy between 70 and 1440 MeV

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  • Theory
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Abstract

In the present work, we reanalysis the 12C + 12C refractive scattering over a wide energy range. The analysis is performed in the framework of optical model with the solution of the non-relativistic Schrödinger equation. For the real part of the optical model potential, we used real folded potentials based on JLM effective nucleon-nucleon (NN) interaction. For the imaginary part we used the familiar and conventional Woods-Saxon (WS) form with three adjusted parameters. Different local density approximations (LDA) are used for JLM effective NN interaction. Our main purpose is to find a systematic optical model potential over a wide energy range between 70.7 and 1440 MeV. The real JLM folded potentials with a shallow WS imaginary potentials successfully and systematically reproduced the general feature of the refractive elastic scattering of 12C + 12C. The energy dependence of the real (JR) and imaginary (JI) volume integrals and reaction cross sections σR is investigated.

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Acknowledgments

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through General Research Project under grant number (49/1440).

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Authors and Affiliations

  1. Physics Department, Faculty of Science, King Khalid University, Abha, Saudi Arabia

    Zakaria M. M. Mahmoud & Mahmoud A. Hassanien

  2. Physics Department, Faculty of Science, New-Valley University, El-Kharga, New-Valley, Egypt

    Zakaria M. M. Mahmoud & Mahmoud A. Hassanien

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  1. Zakaria M. M. Mahmoud
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Correspondence to Zakaria M. M. Mahmoud.

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Mahmoud, Z.M.M., Hassanien, M.A. Analysis of 12C + 12C Elastic Scattering for Energy between 70 and 1440 MeV. Phys. Atom. Nuclei 82, 599–614 (2019). https://doi.org/10.1134/S1063778819060103

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