Abstract
Relativistic corrections to mass and potential energy are calculated in the first approximation of perturbation theory for single-particle levels in a harmonic oscillator well. On the average, these corrections are not large, but increase greatly with increase in the main and orbital quantum numbers. For the ls state the relativistic correction is of the order of 0.01 MeV, while for 3p, we have 0.4 MeV. Thus, for some states the relativistic correction approaches the value of the spin-orbital interaction and must be considered in calculating single-particle energy levels.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
B. L. Birbalr, L. N. Savushkin, and V. N. Fomenko, Yad. Fiz.,15, No. 5, 1134 (1982).
L. I. Schiff, Quantum Mechanics, McGraw-Hill (1968).
A. G. Sitenko and V. K. Gartakovskii, Lectures on Nuclear Theory [in Russian], Énergoizdat, Moscow (1981).
V. G. Solov'ev, Theory of the Atomic Nucleus: Nuclear Models [in Russian], Énergoizdat, Moscow (1981).
Yu. M. Shirokov and N. P. Yudin, Nuclear Physics [in Russian], Fizmatgiz (1972).
A. I. Veselov and L. A. Kondratyuk, Yad. Fiz.,36, 343 (1982).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 14–17, December, 1983.
Rights and permissions
About this article
Cite this article
Janavičius, A.I. Relativistic correction to single-particle neutron levels in a harmonic oscillator well. Soviet Physics Journal 26, 1073–1076 (1983). https://doi.org/10.1007/BF00894635
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00894635