Open AccessThe oscillator spacing of nuclei as function of Ν and Ζ
Author(s) -
G. A. Lalazissis,
C. P. Panos
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2930
Subject(s) - harmonic oscillator , radius , isospin , physics , function (biology) , square (algebra) , harmonic mean , mean square , neutron , atomic physics , harmonic , mathematical analysis , mathematics , quantum electrodynamics , quantum mechanics , geometry , computer science , computer security , evolutionary biology , biology
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.