1998/07/16 by Lennart B. Karlsson, Ingemar Ragnarsson, Sven Åberg +1 · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #Harmonic #Harmonic oscillator #Moment (physics) #Nuclear physics research studies #Parameterized complexity #Polarization (electrochemistry) #Quadrupole #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1016/s0375-9474(98)00436-9
published as Nucl.Phys. A639 (1998) 654-684 · 28 pages including 9 figures
arxiv created 1998/07/16 · openalex publication_date 1998/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A detailed theoretical investigation of polarization effects in superdeformed nuclei is performed. In the pure harmonic oscillator potential it is shown that when one particle (or hole) with the mass single-particle quadrupole moment qnu is added to a superdeformed core, the change of the electric quadrupole moment can be parameterized as qeff=e(bqnu+a), and analytical expressions are derived for the two parameters, a and b. Simple numerical expressions for qeff(qν) are obtained in the more realistic modified oscillator model. It is also shown that quadrupole moments of nuclei with up to 10 particles removed from the superdeformed core of 152Dy can be well described by simply subtracting effective quadrupole moments of the active single-particle states from the quadrupole moment of the core. Tools are given for estimating the quadrupole moment for possible configurations in the superdeformed A 150-region.