Nuclear vorticity in isoscalar<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>E</mml:mi><mml:mn>1</mml:mn></mml:mrow></mml:math>modes: Skyrme-random-phase approximation analysis

Reinhard, P.‐G.; Nesterenko, V. O.; Repko, A.; Kvasil, J.

doi:10.1103/physrevc.89.024321

Cited by 30 publications

(43 citation statements)

References 41 publications

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“…3, b, also has a vortex (toroidal) character. The results of our semiclassical model are in qualitative agreement with the previous results of the relevant random-phaseapproximation (RPA) calculations [5,10,11]. The quantitative comparison of our semiclassical model and the quantum approaches is rather difficult due to the different nature of calculations.…”

Section: Discussionsupporting

confidence: 86%

“…We determine the value of the monopole incompressibility 160 The resonances of the dipole strength function (19) are determined by the poles of the intrinsic dipole response function (4), which are given by the solutions of the equation [19] (20) In this equation, the functions 1 () s  and 0 1 () s  , which describe dynamic surface effects, see Eqs. (11), (12), and the single-particle response function 0 11 () Rs , see Eq. 6, are calculated as integrals over classical trajectories determined by dipole eigenfrequencies (7).…”

Section: Low-energy Resonancesmentioning

confidence: 99%

“…They showed that this resonance has a substantial vortex (toroidal) character. However, quantum calculations of the isoscalar dipole response show several toroidal resonance structures in the low-energy region (below 15 MeV) [5,8,10,11]. The main resonance is interpreted as a nuclear toroidal mode.…”

Section: Introductionmentioning

confidence: 96%

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Isoscalar dipole response of heavy nuclei in low-energy region within kinetic model

Abrosimov¹,

Davydovska²

2020

Nucl. Phys. At. Energy

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The isoscalar dipole response of heavy spherical nuclei in the low-energy region is studied by using a semiclassical model, based on the solution of the linearized Vlasov kinetic equation for finite Fermi systems. In this translationinvariant model, the excitations of the center of mass motion are exactly separated from the internal ones. The isoscalar dipole strength function displays three resonance structures in the energy region up to 15 MeV. Calculations of the velocity fields associated with resonance structures at centroid energies show the vortex (toroidal) nature of two overlying resonances. The main toroidal resonance gives a qualitative description of the low-energy isoscalar dipole resonance, which is observed in heavy spherical nuclei. The origin of the lowest isoscalar dipole resonance structure is apparently related to dipole single-particle excitations. Its centroid energy is close to the minimum energy of the dipole single-particle spectrum, and taking into account the residual interaction leads only to an insignificant shift of the centroid energy towards lower energy. However, the inclusion of residual interaction noticeably enhances the velocity field associated with the lowest resonance, which indicates collective effects in this resonance structure.

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Section: Discussionsupporting

confidence: 86%

Section: Low-energy Resonancesmentioning

confidence: 99%

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Isoscalar dipole response of heavy nuclei in low-energy region within kinetic model

Abrosimov¹,

Davydovska²

2020

Nucl. Phys. At. Energy

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“…It has been shown [113,114,115,116] that the centroid of this component of the L=1 strength is independent of the nuclear incompressibility (and, hence, is certainly of "non-bulk" nature). While the exact nature of this component is not fully understood yet, suggestions have been made that this component might represent the "toroidal" [114,117] or the "vortex" modes [118,119]. It is impossible to distinguish between the competing possibilities based on currently-available data [93]; also, it is not at all clear why these exotic modes would be excited with such large cross sections in (α, α ) work.…”

Section: The Isgdrmentioning

confidence: 99%

The compression-mode giant resonances and nuclear incompressibility

Garg

Colò

2018

Progress in Particle and Nuclear Physics

231

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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“…ABROSIMOV, O.I. DAVIDOVSKAYA, 2016 character (the toroidal mode) [13,[17][18][19][20]. From the theoretical viewpoint, the consideration of isoscalar dipole excitations in a finite Fermi system becomes complicated owing to the fact that those excitations can be connected with the motion of the center of mass.…”

Section: Introductionmentioning

confidence: 99%

Residual Interaction Effect on Isoscalar Dipole Modes in Heavy Nuclei

Abrosimov¹,

Davidovskaya²

2016

Ukr. J. Phys.

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Isoscalar collective dipole excitations in heavy nuclei have been studied in the framework of the kinetic model for small vibrations in a finite Fermi system with a moving surface. An analytical expression for the second-order isoscalar response function of the dipole moment is obtained taking the residual interaction between nucleons into account in the separable approximation. It is shown that the inclusion of the residual interaction does not violate the translation invariance of the model. The strength function has a two-resonance structure, like in the zeroth-order approximation (i.e. neglecting the residual interaction). The account for the isoscalar dipole residual interaction decreases the compressibility of a system and shifts the resonances toward low frequencies, which improves the agreement with experimental data for both low-and highenergy isoscalar dipole modes in heavy nuclei.

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Nuclear vorticity in isoscalarE1modes: Skyrme-random-phase approximation analysis

Cited by 30 publications

References 41 publications

Isoscalar dipole response of heavy nuclei in low-energy region within kinetic model

Isoscalar dipole response of heavy nuclei in low-energy region within kinetic model

The compression-mode giant resonances and nuclear incompressibility

Residual Interaction Effect on Isoscalar Dipole Modes in Heavy Nuclei

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