Open AccessThe harmonic oscillator energy level spacing for neutrons and protons in nuclei
Author(s) -
G. A. Lalazissis,
C. P. Panos
Publication year - 2019
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2375
Subject(s) - neutron , proton , classification of discontinuities , physics , atomic physics , nuclear physics , harmonic oscillator , table (database) , energy (signal processing) , harmonic , neutron temperature , mathematics , quantum mechanics , mathematical analysis , computer science , data mining
Approximate expressions of hw for neutrons and protons separately, as functions of the neutron number Ν and the proton number Ζ respectively, are derived. The dependence of hωn{hωp) on N(Z) is established using a rather recently proposed semi-phenomenological density distribution based on the separation energies of the last neutron or proton. The corresponding curves of hω show "discontinuities in the slope" at the closed shells throughout the periodic table. The difference hωn — hωΛ is also discussed