Effects of Occupation Numbers on Charge Density Distributions, Elastic Form Factors, and Root-Mean Square Radii for Some Nuclei in 1s-1p Shell
Arkan R. Ridha1, Wasan Z. Majeed2, Ali D. Salloum3
1Arkan R. Ridha, Department of Physics, University of Baghdad, Iraq.
2Wasan Z. Majeed, Department of Physics, University of Baghdad, Iraq.
3Ali D. Salloum, Department of Physics, University of Baghdad, Iraq.
Manuscript received on May 21, 2014. | Revised Manuscript received on June 09, 2014. | Manuscript published on June 30, 2014. | PP: 24-30 | Volume-3, Issue-5, June 2014. | Retrieval Number: E3067063514/2013©BEIESP
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Abstract: The effects of occupation numbers on the ground state charge density distributions, elastic form factors and root mean square (RMS) radii are investigated for 4He, 12C, and 16O nuclei in 1s-1p shell using single-particle radial wave functions of harmonic-oscillators (HO) potential. For such potential, two HO size parameters are used one for neutron ( ) and the other for proton ( ). For the calculated charge density distributions, the results showed good agreement with experimental data except the fail to produce the hump in the central region for 12C and 16O nuclei. For elastic charge form factors the results in general, showed excellent agreement to predict the positions of diffraction minima. The match of calculated charge form factor for 12C with experimental data was excellent at all q range, but for 4He and 16O it was obtained an underestimation at high q values. Finally, the calculated RMS charge radii in general, showed an overestimation comparing with those of experimental data, while those of matter showed excellent agreement with experiment.
Keywords: Stable Nuclei, Shell Model, Charge Density Distribution, Elastic Charge Form Factor, RMS Charge, Neutron, And Matter Radii.