Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations

Bender, M.; Bonche, P.; Heenen, Paul‐Henri

doi:10.1103/physrevc.74.024312

Cited by 112 publications

(62 citation statements)

References 57 publications

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“…Recently this approach was extended to include full triaxial angular-momentum and particle-number projection [10]. Another sophisticated structure model that takes into account collective correlations is based on axially constrained HFBCS calculations with Skyrme effective interactions in the particle-hole channel and a density-dependent contact force in the pairing channel [11][12][13][14][15]. The latest extension of this model that incorporates triaxial angularmomentum projection was reported by the authors of Ref.…”

Section: Introductionmentioning

confidence: 97%

Effect of time-odd mean fields on inertial parameters of the quadrupole collective Hamiltonian

Hinohara

Nakatsukasa

et al. 2012

Phys. Rev. C

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Most current implementations of the quadrupole collective Hamiltonian model do not include the contributions of time-odd mean fields to the moments of inertia and mass parameters (Thouless-Valatin dynamical rearrangement contributions). A hybrid model is introduced that allows a quantitative estimate of these contributions to the inertial functions of a five-dimensional collective Hamiltonian based on microscopic energy density functionals. Fully self-consistent constrained relativistic Hartree-Bogoliubov calculations of triaxial energy surfaces in the β−γ plane are used to determine the parameters of an equivalent pairing-plus-quadrupole (P + Q) Hamiltonian. This Hamiltonian is employed in constrained Hartree-Fock-Bogoliubov (CHFB) plus local quasiparticle random-phase approximation (LQRPA) calculation of the deformation-dependent corrections to the Inglis-Belyaev moments of inertia and cranking mass parameters. This hybrid model is used to evaluate the influence of time-odd mean fields on vibrational and rotational collective masses and investigate their effect on the low-energy collective excitation spectra and transition rates of γ -soft Xe and Ba nuclei.

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Section: Introductionmentioning

confidence: 97%

Effect of time-odd mean fields on inertial parameters of the quadrupole collective Hamiltonian

Hinohara

Nakatsukasa

et al. 2012

Phys. Rev. C

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“…Over the last few years developments in experimental techniques have provided the possibility to study analog states belonging to nuclei in the heavier, N ≈ Z, (upper fp shell) mass 60-80, region. A key issue with nuclei residing in the middle of this region is the presence of co-existing nuclear shapes at relatively low excitation energies, which result from large shell gaps that are predicted to exist for both oblate and prolate shapes for nuclei with neutron and proton numbers of 34, 36, 38 (see [9,10]). For mass 70 nuclei, in particular, the difference in energy between the prolate and oblate minima in the potential energy surface is sufficiently small that Coulomb effects on the valence particles could result in changes in the degree of mixing between the oblate and prolate wave function components for different excited states.…”

Section: Introductionmentioning

confidence: 99%

Spectroscopy of Kr70 and isospin symmetry in the T=1 fpg shell nuclei

Debenham¹,

Bentley²,

Davies³

et al. 2016

Phys. Rev. C

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The recoil-β tagging technique has been used in conjunction with the 40 Ca( 32 S ,2n) reaction at a beam energy of 88 MeV to identify transitions associated with the decay of the 2 + and, tentatively, 4 + states in the nucleus 70 Kr. These data are used, along with previously published data, to examine the triplet energy differences (TED) for the mass 70 isobars. The experimental TED values are compared with shell model calculations, performed with the JUN45 interaction in the fpg model space, that include a J = 0 isospin nonconserving (INC) interaction with an isotensor strength of 100 keV. The agreement is found to be very good up to spin 4 and supports the expectation for analog states that all three nuclei have the same oblate shape at low-spin. The A = 70 results are compared with the experimental and shell model predicted TED and mirror energy differences (MED) for the mass 66 and 74 systems. The comparisons clearly demonstrate the importance of the isotensor INC interaction in replicating the TED data in this region. Issues related to the observed MED values and their interpretation within the shell model are discussed.

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“…This data obtained could be used to distinguish between different state-of-the-art nuclear models. The best agreement between experiment and theory could be obtained only where the nuclei were allowed to assume triaxial shapes-that is, where all three axes of the ellipsoid associated with the nuclear charge distribution have different lengths 24,31,32 .…”

Section: Nuclear Shape and Coulomb Excitationmentioning

confidence: 97%

“…In some special cases, the nuclear structure can lead to the appearance of shape coexistence 23 , where an input in excitation energy of the nucleus, small on the scale of the nuclear binding energy, can drive the nucleus to a different shape. Describing the sensitive interplay of nuclear forces that drive the shape coexistence is a significant challenge for contemporary nuclear theory 23,24 .…”

Section: Nuclear Shape and Coulomb Excitationmentioning

confidence: 99%

Recent advances in nuclear physics through on-line isotope separation

Jenkins

2014

Nature Phys

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Nuclear physics is advancing rapidly at the precision frontier, where measurements of nuclear observables are challenging state-of-the-art nuclear models. A major contribution is associated with the increasing availability of accelerated beams of radioactive ions produced using the isotope separation on-line technique. These advances have come hand in hand with significant progress in the development of high-e ciency detector systems and improved target technologies which are invaluable in exploiting these beams to their full advantage. This article reviews some of the recent highlights in the field of nuclear structure profiting from these technological advances.N uclear physics is a mature science with strong connections to both fundamental physics and nuclear astrophysics, namely the origin of the chemical elements 1,2 . Nuclear physics is over 100 years old, but there are still key outstanding questions. This reflects the challenge and complexity of describing the nucleus from a theoretical perspective. In principle, ab initio calculations of nuclear properties are desirable, but current computing power limits these types of calculations to around A = 12 (ref. 3). As many nuclides have of the order of 100 nucleons, simplifying assumptions are usually applied to describe their behaviour. Complementary descriptions of the nucleus exist in terms of the behaviour of individual nucleons-single-particle models 4 -or in terms of the coherent behaviour of the nucleons that make it up-collective models 5,6 . These models offer an excellent description of both stable isotopes and those near to stability. To challenge these models, however, and make extrapolations valid in extreme astrophysical scenarios (such as supernova explosions), it is necessary to probe exotic, short-lived, radioactive nuclei. Present experimental efforts in nuclear structure are pushing towards two frontiers: the limits of existence, in other words, what combinations of protons and neutrons can exist as bound systems 7,8 ? and the precision frontier, where nuclear models may be challenged in detail by obtaining precision data on nuclear observables. To obtain the precision needed to make discriminating tests of nuclear models, the playground for relevant measurements comprises radioactive nuclei-in particular, those closer to stability, where significant beam intensities are achievable. The increasing availability of accelerated radioactive beams produced using the isotope separation on-line (ISOL) technique is contributing strongly to a renaissance in the field of nuclear physics. The ISOL technique dates back to the 1960s (ref. 9), but the ability to re-accelerate such beams was pioneered in the 1990s at Louvain-la-Neuve 10 , and has only begun to flourish in the past five years or so. This article presents an overview of physics with accelerated ISOL beams, focusing on recent advances and experimental highlights in the field of nuclear structure.There are two main ways of creating radioactive beams: ISOL and fragmentation. The ISOL technique,...

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Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations

Cited by 112 publications

References 57 publications

Effect of time-odd mean fields on inertial parameters of the quadrupole collective Hamiltonian

Effect of time-odd mean fields on inertial parameters of the quadrupole collective Hamiltonian

Spectroscopy of Kr70 and isospin symmetry in the T=1 fpg shell nuclei

Recent advances in nuclear physics through on-line isotope separation

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