Self-consistent effective interactions in nuclei

Sasaki, Hideo; Kishimoto, T.

doi:10.1016/0375-9474(89)90290-x

Cited by 89 publications

(67 citation statements)

References 41 publications

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“…Based on the concept of nuclear saturation and the self-consistency between the shape of the mean-field potential (the triaxial harmonic oscillator) and that of a density distribution, Sakamoto and Kishimoto [576] have employed the Landau theory of Fermi liquid [12] and derived the effective multipole-multipole interaction due to shape and angular momentum oscillations; see also [577]. According to this result, the CRPA Hamiltonian has the following form…”

Section: Collective Excitations As Indicator Of Symmetry Breakingmentioning

confidence: 99%

Effects of symmetry breaking in finite quantum systems

2013

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The review considers the peculiarities of symmetry breaking and symmetry transformations and the related physical effects in finite quantum systems. Some types of symmetry in finite systems can be broken only asymptotically. However, with a sufficiently large number of particles, crossover transitions become sharp, so that symmetry breaking happens similarly to that in macroscopic systems. This concerns, in particular, global gauge symmetry breaking, related to Bose-Einstein condensation and superconductivity, or isotropy breaking, related to the generation of quantum vortices, and the stratification in multicomponent mixtures. A special type of symmetry transformation, characteristic only for finite systems, is the change of shape symmetry. These phenomena are illustrated by the examples of several typical mesoscopic systems, such as trapped atoms, quantum dots, atomic nuclei, and metallic grains. The specific features of the review are: (i) the emphasis on the peculiarities of the symmetry breaking in finite mesoscopic systems; (ii) the analysis of common properties of physically different finite quantum systems; (iii) the manifestations of symmetry breaking in the spectra of collective excitations in finite quantum systems. The analysis of these features allows for the better understanding of the intimate relation between the type of symmetry and other physical properties of quantum systems. This also makes it possible to predict new effects by employing the analogies between finite quantum systems of different physical nature.

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Section: Collective Excitations As Indicator Of Symmetry Breakingmentioning

confidence: 99%

Effects of symmetry breaking in finite quantum systems

2013

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“…This and Kishimoto [30] , the doubly-stretched coordinates are suited to description of systems having quadrupole equilibrium deformations, and possess several advantages over the usual coordinates;…”

Section: Relation Between the Two Methodsmentioning

confidence: 99%

“…Figure 4 shows calculated Poincaré maps (z, p z ) for the Hamiltonian (4.1) with various values of the octupole deformation parameter λ 30 . We see that the system is quasi-integrable for small λ 30 and almost all the phase space is foliated by KAM tori.…”

Section: Poincaré Mapmentioning

confidence: 99%

Semiclassical Analysis of the Supershell Effect in Reflection-Asymmetric Superdeformed Oscillator

Arita

Matsuyanagi

1994

Progress of Theoretical Physics

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An oscillatory pattern in the smoothed quantum spectrum, which is unique for singleparticle motions in a reflection-asymmetric superdeformed oscillator potential, is investigated by means of the semiclassical theory of shell structure. Clear correspondence between the oscillating components of the smoothed level density and the classical periodic orbits is found. It is shown that an interference effect between two families of the short periodic orbits, called supershell effect, develops with increasing reflection-asymmetric deformations. Possible origins of this enhancement phenomena as well as quantum signatures of period-multipling bifurcations are discussed in connection with stabilities of the classical periodic orbits. §1. INTRODUCTION Possible occurrence of instability of superdeformed (SD) nuclei having the prolate shape with the axis ratio approximately 2:1 against the octupole-type reflection asymmetric deformation is one of the current topics of growing interest in high-spin nuclear structure physics. Regions in the (N,Z) plane where we can expect existence of reflection-asymmetric SD nuclei have beenmainly by means of the Strutinsky-type calculations of the collective potential energy surface (see also Refs.[6] and [7] for other approaches). Concerning the physical condition for the occurrence of the octupole instability, Nazarewicz and Dobaczewski [8] have recently discussed the connection between the dynamical symmetry of the anisotropic harmonic-oscillator with frequencies in rational ratio and the multi-cluster configurations. They have suggested 1

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“…The interaction v (E1) res is expressed in terms of the doubly stretched coordinates x referring to the nuclear selfconsistency model [42]. The term v…”

Section: Fig 3: (Color Online) Probability Distributions For 78−86mentioning

confidence: 99%

“…The isovector strength constant κ t=1 determines the mean position of the GDR. The A-dependence of the isovector strength κ t=1 is assumed to be given by the selfconsistent strength factor [42] …”

Section: Fig 3: (Color Online) Probability Distributions For 78−86mentioning

confidence: 99%

Instantaneous shape sampling: A model for theγ-absorption cross section of transitional nuclei

et al. 2011

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The influence of the quadrupole shape fluctuations on the dipole vibrations in transitional nuclei is investigated in the framework of the Instantaneous Shape Sampling Model, which combines the Interacting Boson Model for the slow collective quadrupole motion with the Random Phase Approximation for the rapid dipole vibrations. Coupling to the complex background configurations is taken into account by folding the results with a Lorentzian with an energy dependent width. The low-energy energy portion of the γ-absorption cross section, which is important for photo-nuclear processes, is studied for the isotopic series of Kr, Xe, Ba, and Sm. The experimental cross sections are well reproduced. The low-energy cross section is determined by the Landau fragmentation of the dipole strength and its redistribution caused by the shape fluctuations. Collisional damping only wipes out fluctuations of the absorption cross section, generating the smooth energy dependence observed in experiment. In the case of semi-magic nuclei, shallow pygmy resonances are found in agreement with experiment.

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Self-consistent effective interactions in nuclei

Cited by 89 publications

References 41 publications

Effects of symmetry breaking in finite quantum systems

Effects of symmetry breaking in finite quantum systems

Semiclassical Analysis of the Supershell Effect in Reflection-Asymmetric Superdeformed Oscillator

Instantaneous shape sampling: A model for theγ-absorption cross section of transitional nuclei

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