The Charge Density Distribution with a Non-Local Potential on 16O, 40Ca, and 208Pb Nuclei
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Using a non-local nuclear potential in a separable form, as suggested by Perey and Buck, we solve the Schrödinger equation for all bound states for 16O, 40Ca, and 208Pb nuclei. We obtain binding energies and radial wave functions for a single particle. Moreover, these calculations derived from a non-local nuclear potential are compared with those of a local potential suggested by Shlomo and Bertsch. With the binding energies and the radial wave functions, we extract the point proton, the point neutron, the charge density distributions and their RMS radii and compare them with the experimental data. The point proton, the point neutron, and the charge density distributions obtained by using the non-local potential are pushed outward compared with those obtained by using the local potential due to the non-local effect. In addition, this effect can be seen in the RMS radii extracted from the point proton, the point neutron, and the charge density distributions, which are repulsive and larger than those obtained using the local potential. Finally, our calculations for the RMS radii, which were done using the non-local potential, agree well with the experimental data.
KeywordsNon-local potential Charge density distribution The proton and the neutron point density distributions
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This study was supported by 2018 Research Grant from Kangwon National University (No. 620180023) and by the National Research Foundation of Korea (Grant Nos. NRF-2016R1C1B1012874, NRF-2017R1E1A1A010 74023, NRF-2018R1D1A1B07045915, and NRF-2018R1 A5A1025563).
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