The oscillator spacing of nuclei as function of Ν and Ζ

Abstract

New improved expressions for the harmonic oscillator energy level spacing Κω as function of Ν and Ζ are derived. The isospin dependence is introduced by using new expressions for the mean square radius of nuclei, which fit the experimental mean square radii and the isotopie shifts of even-even nuclei much better than other frequently used relations. The effect of the neutron excess an hω is studied. Very accurate approximate asymptotic formulae for Ηω are also derived, which are suitable for practical use.