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Home  >  Volume 28. No.2 (Nov. 2014)

46. The Effect of Finite Size Nuclear Potential on 1s2s2p Energy States of Light and Heavy Nuclei by Adamu A. and Ngadda Y.H. - Volume28, No. 2, (November, 2014), pp 351 – 358
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Abstract  

In this work, the 1st order time-independent perturbation method has been employed to calculate spectral energy shift in the ground state (1s) and in the first excited state (2s and three-2p states) of some selected nuclei. The unperturbed values of the 1st and 2nd energy levels of the nuclei were computed and plotted graphically as function of their proton numbers. The results obtained show that the Bohr transition energy for a point charge nucleus differs from that of finite-size nuclei; here the value increases with proton number. Also as is the case for point charge nuclei, it is observed that all the three – 2p energy states of the finite nuclear size give the exact values of perturbation energies. The energy shifts in the ground state and in the first excited state of the nuclei were computed and plotted graphically as function of their proton number. The relative energy change calculated from the 1st order correction in the ground state and first excited states of the nuclei were also computed and plotted graphically as function of their nuclear radii. The results showed that at distances farther away from the nucleus, the finite nuclear size effect approaches that of a point charge nuclear effect. Electron-nucleus interactions, beyond the point charge nucleus coulomb potential, modify the atomic property and due to the change of nuclear model from point-like to finite-size nature of nucleus the spectral energy level of a nucleus is shifted upwards. This means the atomic spectral line looked at as a finite size nucleus will not coincide with its point-like-size spectral line. This gives us more information on the role of nuclear charge distribution. .   

Keywords: Energy level, hydrogen-like nuclei, potential energy, Hamiltonian, perturbation, relative energy change.  

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