Abstract
A semiclassical expression for Coulomb energies of the mirror nuclei has beeb derived. The exchange part in the above expression is derived on a statistical model which gives in addition to the usual term, a pairing effect of magnitude 0.33. Inconsistencies in some of the earlier expressions have been pointed out. The radius parameter r 0 from this formula agrees very well with the electron scattering values. A more detailed calculation of the Coulomb energies in LS-coupling shell model with constant values of the parameters within a shell gives least squares fit with an r.m.s. deviations of nearly 4 % in both p and d-shells. The least squares fit parameters are not satisfactorily reproduced by the harmonic oscillator wave function. The variation of the h.o. strength parameter α = ωM/ℏ within p and d-s shell has been studies. A comparison of the r.m.s. radius from Coulomb energies and electron scattering shows a discrepancy of about 8 % in case of Be 9. The vanishing of the second difference of Coulomb energy and its negative value at a shell crossing are found to agree with the detailed shell model calculation.
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