2007/07/30 by M. T. Matev, M. Matev, A. V. Afanasjev +3 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Additive function #Angular momentum #Atomic and Molecular Physics #Atomic physics #Chemistry #Hartree–Fock method #Mathematical analysis #Mathematical physics #Mathematics #Nuclear physics research studies #Nucleon #Operator (biology) #Physics #Quadrupole #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Valence (chemistry) #nucl-th
paper · pdf · doi:10.1103/physrevc.76.034304
published as Phys.Rev.C76:034304,2007 · 14 pages, 6 figures, submitted to Physics Review C
arxiv created 2007/07/30 · openalex publication_date 2007/09/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The additivity principle of the extreme shell model stipulates that an average value of a one-body operator be equal to the sum of the core contribution and effective contributions of valence (particle or hole) nucleons. For quadrupole moment and angular momentum operators, we test this principle for highly deformed and superdeformed rotational bands in A~130 nuclei. Calculations are done in the self-consistent cranked nonrelativistic Hartree-Fock and relativistic Hartree mean-field approaches. Results indicate that the additivity principle is a valid concept that justifies the use of an extreme single-particle model in an unpaired regime typical of high angular momenta.