Elsevier

Physics Letters B

Volume 121, Issues 2–3, 27 January 1983, Pages 91-95
Physics Letters B

The dependence of the harmonic oscillator energy level spacing on the mass number of nuclei

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Abstract

Approximate expressions of h̵ω as functions of A of nuclei are derived, showing “discontinuities in the slope” of h̵ω at the closed shells. A simplified expression is also given. The dependence on A is established through a Fermi distribution, its parameters ϱ0 and a being determined by fitting either to values of h̵ω reproducing the experimental values of charge rms radii of nuclei: 〈r2exp12 or directly to 〈r2exp12.

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