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Analysis of the elastic scattering and reaction cross-sections of 14Be + 12C within a microscopic model.

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Title: Analysis of the elastic scattering and reaction cross-sections of 14Be + 12C within a microscopic model.
Authors: Rashdan, M.1 (AUTHOR), Taha, M. M.1 (AUTHOR) mahmoudmt@hotmail.com
Source: International Journal of Modern Physics E: Nuclear Physics. Jan2025, Vol. 34 Issue 1, p1-10. 10p.
Subjects: Harmonic oscillators, Elastic analysis (Engineering), Nuclear density, Neutrons, Density
Abstract: The elastic scattering and reaction cross-sections of 1 4 Be + 1 2 C are analyzed within the microscopic Coulomb modified Glauber model (CMGM), which is a free-parameters model including finite range and Pauli effects. A 2-parameter Fermi (2pF) shape is assumed to describe the nuclear densities. A modified sd (msd) harmonic oscillator model density, which includes core and halo structure with different widths to describe 1 4 Be, is also introduced. For msd-density two configurations, a 1 2 Be-core plus 2n-halo and a 1 0 Be-core plus 4n halo, are assumed. The 2pF with extended neutron tail, as well as the msd-density with core and halo structure, successfully describes both the differential and reaction cross-sections. The extracted rms radius of 1 4 Be by the extended 2pF and msd densities are found to be 3. 1 4 ± 0. 0 3 fm. The calculated reaction cross-sections by these densities at 56 MeV/u are found to be 1578–1581.5 mb, in consistent data. The differences between the extended 2pF and msd densities in the extracted radii, as well as in the prediction of the reaction cross-section at 56 MeV/u, are found to be less than 1 %. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:The elastic scattering and reaction cross-sections of 1 4 Be + 1 2 C are analyzed within the microscopic Coulomb modified Glauber model (CMGM), which is a free-parameters model including finite range and Pauli effects. A 2-parameter Fermi (2pF) shape is assumed to describe the nuclear densities. A modified sd (msd) harmonic oscillator model density, which includes core and halo structure with different widths to describe 1 4 Be, is also introduced. For msd-density two configurations, a 1 2 Be-core plus 2n-halo and a 1 0 Be-core plus 4n halo, are assumed. The 2pF with extended neutron tail, as well as the msd-density with core and halo structure, successfully describes both the differential and reaction cross-sections. The extracted rms radius of 1 4 Be by the extended 2pF and msd densities are found to be 3. 1 4 ± 0. 0 3 fm. The calculated reaction cross-sections by these densities at 56 MeV/u are found to be 1578–1581.5 mb, in consistent data. The differences between the extended 2pF and msd densities in the extracted radii, as well as in the prediction of the reaction cross-section at 56 MeV/u, are found to be less than 1 %. [ABSTRACT FROM AUTHOR]
ISSN:02183013
DOI:10.1142/S021830132550003X