Isoscalar and isovector dipole strength distributions in nuclei and the Schiff moment

Auerbach, N.; Stoyanov, Ch.; Anders, M.; Shlomo, S.

doi:10.1103/physrevc.89.014335

Cited by 13 publications

(10 citation statements)

References 35 publications

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“…The centroid position of the ISGMR was found to be 19.1±0.5 MeV which compares well with the value 19.5 MeV obtained in the previous measurement on this nucleus [191]. The authors also reported identification of the ISGDR strength over E x =10-35 MeV, albeit with large uncertainties; the observed strength distribution was consistent with the predictions of the HF-based RPA calculations from Auerbach et al [199]. The (α, α ) results on 56 Ni are presented in Fig.…”

Section: Measurements In Nuclei Far From Stabilitysupporting

confidence: 88%

The compression-mode giant resonances and nuclear incompressibility

Garg

Colò

2018

Progress in Particle and Nuclear Physics

239

186

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The compression-mode giant resonances, namely the isoscalar giant monopole and isoscalar giant dipole modes, are examples of collective nuclear motion. Their main interest stems from the fact that one hopes to extrapolate from their properties the incompressibility of uniform nuclear matter, which is a key parameter of the nuclear Equation of State (EoS). Our understanding of these issues has undergone two major jumps, one in the late 1970s when the Isoscalar Giant Monopole Resonance (ISGMR) was experimentally identified, and another around the turn of the millennium since when theory has been able to start giving reliable error bars to the incompressibility. However, mainly magic nuclei have been involved in the deduction of the incompressibility from the vibrations of finite nuclei.The present review deals with the developments beyond all this. Experimental techniques have been improved, and new open-shell, and deformed, nuclei have been investigated. The associated changes in our understanding of the problem of the nuclear incompressibility are discussed. New theoretical models, decay measurements, and the search for the evolution of compressional modes in exotic nuclei are also discussed.

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Section: Measurements In Nuclei Far From Stabilitysupporting

confidence: 88%

The compression-mode giant resonances and nuclear incompressibility

Garg

Colò

2018

Progress in Particle and Nuclear Physics

239

186

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“…[6][7][8] as it will allow adding new kinds of data on multipole-and charge-exchange strength to the set of fit-observables defining the objective function. The new FAM technique can be very useful when studying the nuclear response to non-trivial operators such as the nuclear Schiff moment, which is closely related to the isoscalar dipole operator [66,67]. According to the Thouless theorem (20), the energyweighted sum rule for isoscalar monopole and quadrupole operators of an axially-deformed nucleus are:…”

Section: Discussionmentioning

confidence: 99%

Complex-energy approach to sum rules within nuclear density functional theory

et al. 2015

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Background: The linear response of the nucleus to an external field contains unique information about the effective interaction, correlations governing the behavior of the many-body system, and properties of its excited states. To characterize the response, it is useful to use its energy-weighted moments, or sum rules. By comparing computed sum rules with experimental values, the information content of the response can be utilized in the optimization process of the nuclear Hamiltonian or nuclear energy density functional (EDF). But the additional information comes at a price: compared to the ground state, computation of excited states is more demanding.Purpose: To establish an efficient framework to compute energy-weighted sum rules of the response that is adaptable to the optimization of the nuclear EDF and large-scale surveys of collective strength, we have developed a new technique within the complex-energy finite-amplitude method (FAM) based on the quasiparticle randomphase approximation (QRPA). Methods:To compute sum rules, we carry out contour integration of the response function in the complexenergy plane. We benchmark our results against the conventional matrix formulation of the QRPA theory, the Thouless theorem for the energy-weighted sum rule, and the dielectric theorem for the inverse energy-weighted sum rule. Results:We derive the sum-rule expressions from the contour integration of the complex-energy FAM. We demonstrate that calculated sum-rule values agree with those obtained from the matrix formulation of the QRPA. We also discuss the applicability of both the Thouless theorem about the energy-weighted sum rule and the dielectric theorem for the inverse energy-weighted sum rule to nuclear density functional theory in cases when the EDF is not based on a Hamiltonian. Conclusions:The proposed sum-rule technique based on the complex-energy FAM is a tool of choice when optimizing effective interactions or energy functionals. The method is very efficient and well-adaptable to parallel computing. The FAM formulation is especially useful when standard theorems based on commutation relations involving the nuclear Hamiltonian and external field cannot be used.

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“…Isoscalar and isovector dipole strength distributions have also been investigated in relation to the Schiff moment [305].…”

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

196

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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Isoscalar and isovector dipole strength distributions in nuclei and the Schiff moment

Cited by 13 publications

References 35 publications

The compression-mode giant resonances and nuclear incompressibility

The compression-mode giant resonances and nuclear incompressibility

Complex-energy approach to sum rules within nuclear density functional theory

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

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