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Submission last date: 15th July 2024

The neutrons scattering analysis by (_^60)Cu, nucleus using variational moment approach

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Author: 
Molhum Ussef and Anees Belal
Page No: 
612-618

Abstract: The variational moment approach for the neutrons scattering analysis by  nucleus within the energy range (60-80) MeV is applied to the construction of the complex single-particle mean field felt by neutrons in 60Cu , starting from negative energy values to the positive energy values. The results according to the variational moment approach would contain: the continuous energy variations of the radial moments of the real and imaginary parts of the mean field, which are connected by dispersion relations, were compared with these resulting from global parameterization of the optical model potential, and the continuous energy variations of the volume and surface depths of the imaginary part of the mean field, also the continuous energy variations of the radius parameter of the Wood-Saxon approximation to the mean field potential, In addition to the continuous energy variation of the depth of the real potential obtained by adding dispersive correction with its Hartree-Fock approximation of the nonlocal potential and determining the behavior of the energy dependence of both two depths. Consequently, our results of the continuous energy variations of: the radial moments of the real and imaginary parts of the mean field showed the excellent agreement with these resulting from global parameterization of the optical model potential and with these resulting from the single fits of the potential parameters of the experimental data, the predicted total cross section within the energy range (10-153) MeV and elastic differential cross section for selected energies (60, 65 and 70) MeV showed the excellent agreement with available experimental data and better than these resulting from global parameterization of the optical model potential.Abstract: The variational moment approach for the neutrons scattering analysis by 60Cu,  nucleus within the energy range (60-80) MeV is applied to the construction of the complex single-particle mean field felt by neutrons in 60Cu , starting from negative energy values to the positive energy values. The results according to the variational moment approach would contain: the continuous energy variations of the radial moments of the real and imaginary parts of the mean field, which are connected by dispersion relations, were compared with these resulting from global parameterization of the optical model potential, and the continuous energy variations of the volume and surface depths of the imaginary part of the mean field, also the continuous energy variations of the radius parameter of the Wood-Saxon approximation to the mean field potential, In addition to the continuous energy variation of the depth of the real potential obtained by adding dispersive correction with its Hartree-Fock approximation of the nonlocal potential and determining the behavior of the energy dependence of both two depths. Consequently, our results of the continuous energy variations of: the radial moments of the real and imaginary parts of the mean field showed the excellent agreement with these resulting from global parameterization of the optical model potential and with these resulting from the single fits of the potential parameters of the experimental data, the predicted total cross section within the energy range (10-153) MeV and elastic differential cross section for selected energies (60, 65 and 70) MeV showed the excellent agreement with available experimental data and better than these resulting from global parameterization of the optical model potential.

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