Journal ArticleDOI
Sum Rules, Random-Phase-Approximation, and Constrained Self-Consistent Fields
TLDR
In this article, it was shown that the energy-weighted and inversely-energy weighted (IEW) random-phase-approximation sum rules may be obtained simultaneously by a doubly constrained self-consistent field calculation.Abstract:
It is shown that the energy-weighted and inversely-energy-weighted (IEW) random-phase-approximation sum rules may be obtained simultaneously by a doubly constrained self-consistent field calculation. Applications of the IEW sum rule are made to the quadrupole-force Hamiltonian, including a case when zero-frequency modes occur. The relevance to certain higher-order sum rules is noted and discrepancies in some calculations of centrifugal stretching effects in spherical and deformed nuclei are pointed out.read more
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The physics of simple metal clusters: self-consistent jellium model and semiclassical approaches
TL;DR: In this article, the authors survey the hierarchy of theoretical approximations leading to the jellium model, including various extensions, including local density approximation to exchange and correlation effects, which greatly simplifies self-consistent calculations of the electronic structure.
Journal ArticleDOI
Boson realizations of Lie algebras with applications to nuclear physics
TL;DR: The concept of boson realization (or mapping) of Lie algebras appeared first in nuclear physics in 1962 as the idea of expanding bilinear forms in fermion creation and annihilation operators in Taylor series of Boson operators, with the object of converting the study of nuclear vibrational motion into a problem of coupled oscillators.
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A density variational approach to nuclear giant resonances at zero and finite temperature
TL;DR: In this paper, a density functional approach to the description of nuclear giant resonances (GR), using Skyrme type effective interactions, is presented, exploiting the theorems of Thouless and others, relating RPA sum rules to static (constrained) Hartree-Fock expectation values.
Journal ArticleDOI
Finite amplitude method applied to the giant dipole resonance in heavy rare-earth nuclei
Tomohiro Oishi,Tomohiro Oishi,Markus Kortelainen,Markus Kortelainen,Nobuo Hinohara,Nobuo Hinohara +5 more
TL;DR: In this paper, the nuclear giant dipole resonance (GDR) in heavy rare-earth isotopes is discussed and the role of the Thomas-Reiche-Kuhn (TRK) sum rule enhancement factor, connected to the isovector effective mass, is investigated.