Sum rules for nuclear collective excitations

Bohigas, O.; Lane, A.M.; Martorell, J.

doi:10.1016/0370-1573(79)90079-6

Cited by 455 publications

(425 citation statements)

References 33 publications

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“…The first fully microscopic studies of the behavior of K A as a function of the number of nucleons were performed in the 1980s [17,18]. At that time only four spherical magic nuclei were considered: 16 O, 40 Ca, 90 Zr, and 208 Pb.…”

Section: Microscopic Calculation Of the Nuclear Incompressibilitmentioning

confidence: 99%

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Incompressibility of finite fermionic systems: Stable and exotic atomic nuclei

et al. 2013

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The incompressibility of finite fermionic systems is investigated using analytical approaches and microscopic models. The incompressibility of a system is directly linked to the zero-point kinetic energy of constituent fermions, and this is a universal feature of fermionic systems. In the case of atomic nuclei, this implies a constant value of the incompressibility in medium-heavy and heavy nuclei. The evolution of nuclear incompressibility along Sn and Pb isotopic chains is analyzed using global microscopic models, based on both nonrelativistic and relativistic energy functionals. The result is an almost constant incompressibility in stable nuclei and systems not far from stability and a steep decrease in nuclei with pronounced neutron excess, caused by the emergence of a soft monopole mode in neutron-rich nuclei.

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Section: Microscopic Calculation Of the Nuclear Incompressibilitmentioning

confidence: 99%

“…The extension of the constrained Hartree-Fock (HF) method [18] to include pairing correlations, that is, the CHFB approach, has been detailed in Ref. [20] and has been applied also in [5].…”

Section: Constrained Hfbmentioning

confidence: 99%

Incompressibility of finite fermionic systems: Stable and exotic atomic nuclei

et al. 2013

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“…Since its first observation [1], it has been much studied. For reviews see, for example [2,3] from the experimental side and [4][5][6][7] for the theoretical aspects, or [8] for both. Yet, there are still many interesting questions that deserve continued studies on that subject.…”

Section: Introductionmentioning

confidence: 99%

Dipole giant resonances in deformed heavy nuclei

et al. 2005

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The spectral distribution of isovector dipole strength is computed using the time-dependent Skyrme-HartreeFock method with subsequent spectral analysis. The calculations are done without any imposed symmetry restriction, allowing any nuclear shape to be dealt with. The scheme is used to study the deformation dependence of giant resonances and its interplay with Landau fragmentation (owing to 1ph states). Results are shown for the chain of Nd isotopes, superdeformed 152 Dy, triaxial 188 Os, and 238 U.

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“…[32][33][34] Of particular interest are the m −1 , m 1 , and m 3 moments. For the dipole operator along the x direction, F = D x = e͚ i=1 N x i , they read Fig.…”

Section: A Electric Dipole Polarizability and Sum Rulesmentioning

confidence: 99%

“…36 The usefulness of the above sum rules lies in that, under some conditions, one may obtain information about the dipole strength just from the ground state structure of the system. In particular, they allow to define two average excitation energies, 32,33 namely, E 1 ϵ͑m 1 / m −1 ͒ 1/2 and E 3 ϵ͑m 3 / m 1 ͒ 1/2 , which give more weight either to the low-energy or to the high-energy part of the spectrum, respectively. If the excitation spectrum is concentrated in a fairly narrow energy region, E 1 or E 3 represent the mean energy of the excited mode.…”

Section: A Electric Dipole Polarizability and Sum Rulesmentioning

confidence: 99%

Addition energies and density dipole response of quantum rings under the influence of in-plane electric fields

et al. 2007

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Within density functional theory, we address the effect of an in-plane electric field E on the ground state and the density dipole response of a many-electron quantum ring, which is also submitted to a perpendicular magnetic field B. Addition energies and density dipole spectra are discussed as a function of E. For the two-electron case, an exact numerical calculation is performed, obtaining the spin-phase diagram in the E-B plane and showing that transitions between singlet and triplet spin states can be induced by varying the fields. We also find that, in spite of the deformation that E causes in the electronic density, the spin of the ground state of a given electron number ring is very robust, changing little as the strength of the electric field is reasonably increased.

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Sum rules for nuclear collective excitations

Cited by 455 publications

References 33 publications

Incompressibility of finite fermionic systems: Stable and exotic atomic nuclei

Incompressibility of finite fermionic systems: Stable and exotic atomic nuclei

Dipole giant resonances in deformed heavy nuclei

Addition energies and density dipole response of quantum rings under the influence of in-plane electric fields

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