Open AccessON NUCLEAR SINGLE-PARTICLE POTENTIALS (Ⅰ)——A THEOREM
Author(s) -
吴式枢
Publication year - 1976
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.25.433
Subject(s) - eigenvalues and eigenvectors , physics , nucleus , particle (ecology) , energy (signal processing) , mathematical physics , quantum mechanics , oceanography , geology , biology , microbiology and biotechnology
In this paper a theorem is proved and some of its applications discussed. The theorem gives an answer to the question: Under what conditions does the following relation εα±[Eα(N±1)-E0(N)] hold exactly? In the above relation, the εα′s are the single-particle (sp) energiesdetermined by the corresponding sp potential, E0(N) is the exact ground stateenergy of a closed-shell nucleus N, and the Eα(N±1)′s denote the exact energy eigenvalues of its neighbouring N ±1 nucleus.