<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:math>dependence of the enhancement factor in energy-weighted sums for isovector giant resonances

Kolomietz, V. M.; Lukyanov, S. V.

doi:10.1103/physrevc.79.024321

Cited by 2 publications

(4 citation statements)

References 20 publications

(73 reference statements)

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“…Within this approach, it has been shown that the calculated values of splitting energy the relative strength of the resonance peaks, appear in agreement with respective experimental data. It has been shown that the enhancement factor K in the sum of energy weighted strength for the IVGDR increases with A due to boundary condition on the moving nuclear surface [286]. ω (MeV) 174 Yb SV-bas SV-kap20 SV-kap60…”

Section: Isovector Giant Dipole Resonancementioning

confidence: 99%

Nuclear equation of state from ground and collective excited state properties of nuclei

Roca-Maza

Paar

2018

Progress in Particle and Nuclear Physics

188

110

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This contribution reviews the present status on the available constraints to the nuclear equation of state (EoS) around saturation density from nuclear structure calculations on ground and collective excited state properties of atomic nuclei. It concentrates on predictions based on self-consistent mean-field calculations, which can be considered as an approximate realization of an exact energy density functional (EDF). EDFs are derived from effective interactions commonly fitted to nuclear masses, charge radii and, in many cases, also to pseudo-data such as nuclear matter properties. Although in a model dependent way, EDFs constitute nowadays a unique tool to reliably and consistently access bulk ground state and collective excited state properties of atomic nuclei along the nuclear chart as well as the EoS. For comparison, some emphasis is also given to the results obtained with the so called ab initio approaches that aim at describing the nuclear EoS based on interactions fitted to few-body data only. Bridging the existent gap between these two frameworks will be essential since it may allow to improve our understanding on the diverse phenomenology observed in nuclei. Examples on observations from astrophysical objects and processes sensitive to the nuclear EoS are also briefly discussed. As the main conclusion, the isospin dependence of the nuclear EoS around saturation density and, to a lesser extent, the nuclear matter incompressibility remain to be accurately determined. Experimental and theoretical efforts in finding and measuring observables specially sensitive to the EoS properties are of paramount importance, not only for low-energy nuclear physics but also for nuclear astrophysics applications. 7 The expression introduced by Migdal in Ref. [43] neglected the term in a AS . 8 From a macroscopic picture it would correspond to an isotropic compression. 9 From a macroscopic picture it would correspond to a non-isotropic compression. 15

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Section: Isovector Giant Dipole Resonancementioning

confidence: 99%

Nuclear equation of state from ground and collective excited state properties of nuclei

Roca-Maza

Paar

2018

Progress in Particle and Nuclear Physics

188

110

View full text Add to dashboard Cite

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“…Note also that such kind of behavior of r 2 p is correlated with the A dependence of the nuclear Coulomb radius R C ; see Ref. [18].…”

Section: Radii Of Nucleon Distributions and Neutron Skinmentioning

confidence: 90%

“…We have pointed that the charge radii of proton distributions show the shell oscillations with A which are related to the shell effects in the Coulomb energy. The charge radii are connected to the isospin shift of neutron-proton chemical potentials ∆λ = λ n − λ p for nuclei beyond the beta-stability line by fixed value of the mass number A [18]. It was shown that the isovector shift of the nuclear radius ∆r np is primarily linear dependent on the asymmetry parameter X.…”

Section: Discussionmentioning

confidence: 99%

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Nucleon distribution in nuclei beyond theβ-stability line

2012

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The radii of nucleon distribution, bulk density, and neutron skin in nuclei beyond the β-stability line are studied within the direct variational method. We evaluate the partial equation of state of finite nuclei and demonstrate that the bulk density decreases beyond the beta stability line. We show that the growth of the neutron skin in unstable nuclei does not obey the saturation condition because of the polarization effect. The value of the neutron-skin thickness ∆r np = r 2 n − r 2 p is caused by the different radii (skin effect) and only slightly by the different shapes (halo effect) of neutron and proton distributions. The relative contribution of both effects depends on the competition between the symmetry energy, and the spin-orbit and Coulomb interactions. The calculations of the isovector shift of the nuclear radius ∆r np show its primarily linear dependence on the asymmetry parameter X = (N − Z)/A.

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Adependence of the enhancement factor in energy-weighted sums for isovector giant resonances

Cited by 2 publications

References 20 publications

Nuclear equation of state from ground and collective excited state properties of nuclei

Nuclear equation of state from ground and collective excited state properties of nuclei

Nucleon distribution in nuclei beyond theβ-stability line

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