PHYSICAL REVIEW C 89, 014304 (2014)

Elastic and inelastic electron-nucleus scattering form factors of some light nuclei:(²³Na, ²⁵Mg, ²⁷Al, and ⁴¹Ca)

Khalid S. Jassim^1,2,* , Anwer A. Al-Sammarrae^1,3 ,Fadhil I. Sharrad, and ⁴Hasan Abu Kassim¹

1Department of Physics, Quantum Science Centre, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia.
2Department of Physics, College of Education for Pure Science, University of Babylon, P.O. Box 4, Hilla-Babylon, Iraq.
3Department of Chemistry, College of Education, University of Samarra, Selah Alden, Iraq
4Department of Computer Science, College of Science, University of Karbala, Karbala, Iraq

Received 18 July 2013; revised manuscript received 2 November 2013; published 7 January 2014)

Abstract:

  

Nuclear structure (energy levels, elastic and inelastic electron-nucleus scattering, and transition Probability) of ²³Na, ²⁵Mg, ²⁷Al, and ⁴¹Ca nuclei have been studied using shell-model calculations.Aset of two-body interactions are used in this paper. The universal sd of the Wildenthal interaction in the proton-neutron formalism, universal sd-shell interaction A, universal sd-shell interaction B, and GXFP1 interaction for the fp shell is used with the nucleon-nucleon realistic interactionMichigan three-rangeYakawa as a two-body interaction for core-polarization calculations. Two shell-model codes, CPM3Y and NUSHELL for Windows, have been used to calculate the results. The wave functions of radial single-particle matrix elements have been calculated with harmonic-oscillator and Woods-Saxon potentials. The level schemes are compared with the experimental data up to 5.776, 5.251, and 4.51 MeV for ²³Na, ²⁵Mg, and ²⁷Mg, respectively. Very good agreements are obtained for all nuclei in this study. Results from electron scattering form-factor calculations have shown that the core-polarization effects are essential to obtain a reasonable description of the data with no adjustable parameters.

 DOI: 10.1103/PhysRevC.89.014304
 PACS number(s): 25.30.Bf, 25.30.Dh, 21.60.Cs, 27.30.+t

http://prc.aps.org/abstract/PRC/v89/i1/e014304