Title: Large-scale shell model calculations of the ^25,26Mg, ²⁷Al and ¹⁹F nucleus

Authors: Khalid S. Jassim; Shamil R. Sahib

Addresses: Department of Physics, College of Education for pure Science, University of Babylon, PO Box 4, Hilla-Babylon, Iraq ' Department of Physics, College of Education for pure Science, University of Babylon, PO Box 4, Hilla-Babylon, Iraq

Abstract: Shell model calculations were performed to study the energy levels for the ^25,26Mg and ²⁷Al nuclei by employing the sdpfnow effective interaction with the large-scale sdpf model space by using the shell model code NuShell@MSU for Windows. The electron scattering form factors for ¹⁹F nucleus also have been studied with and without effective charge on the sdpf-model space and Tassie model. The Harmonic Oscillator and Skyrme potentials have been used to calculate the wave functions of radial single-particle matrix elements. The level schemes are compared with the experimental data. Coulomb and magnetic form factors in the present work include the transitions from ground state (1/2⁺ 1/2) to the (7/2⁺ 1/2), (9/2⁺ 1/2), (3/2⁻ 1/2), and (11/2⁻ 1/2) states in ¹⁹F. Good agreements were obtained for all nuclei under study for energy levels and form factors comparing with the available experimental data.

Keywords: energy levels; shell model; inelastic electron scattering; form factors; core-polarisation effects; nuclear structure.

DOI: 10.1504/IJNEST.2018.092601

International Journal of Nuclear Energy Science and Technology, 2018 Vol.12 No.1, pp.81 - 91

Received: 31 Aug 2017
Accepted: 14 Mar 2018
Published online: 25 Jun 2018 *

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