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Analytical \(\boldsymbol{\alpha}\boldsymbol{+}\boldsymbol{\alpha}\) Potential for Energy Range between 6 and 280 MeV

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Abstract

In this work we derive analytically a real \(\alpha+\alpha\) potential using the JLM effective nucleon–nucleon (NN) interaction. The aim is to obtain analytically self-energy dependent \(\alpha+\alpha\) effective interaction. We used two different overlapping local density approximations, (geometrical and arithmetic averages, respectively) in JLM parameterization. The derived real potentials in companion with phenomenological Wood–Saxon (WS) imaginary potential are tested in the analysis of the elastic scattering of \(\alpha+\alpha\), over a wide range of energy and angular distribution. The analysis is performed in the framework of optical model for several sets of data measured at three different ranges of energies, 6.5–18, 40.8–47.3, and 100–280 MeV. The predictions of the calculated potentials are satisfactory in reproduction of experimental data. We conclude that both analyticaly derived potentials provide successful description of the experimental data.

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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 research groups program under grant no. R.G.P.1/124/40.

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Authors and Affiliations

  1. Physics Department, Faculty of Science, King Khalid University, 62529, Guraiger, Abha, Saudi Arabia

    Zakaria M. M. Mahmoud

  2. Physics Department, Faculty of Science, New Valley University, New Valley Governorate, Egypt

    Zakaria M. M. Mahmoud & Mahmoud A. Hassanien

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  1. Zakaria M. M. Mahmoud
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  2. Mahmoud A. Hassanien
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Correspondence to Zakaria M. M. Mahmoud.

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Mahmoud, Z.M., Hassanien, M.A. Analytical \(\boldsymbol{\alpha}\boldsymbol{+}\boldsymbol{\alpha}\) Potential for Energy Range between 6 and 280 MeV. Phys. Atom. Nuclei 83, 418–430 (2020). https://doi.org/10.1134/S106377882003014X

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