Quadrupole collective dynamics from energy density functionals: Collective Hamiltonian and the interacting boson model

Nomura, K.; Nikšić, Tamara; Otsuka, Takaharu; Shimizu, Noritaka; Vretenar, Dario

doi:10.1103/physrevc.84.014302

Cited by 23 publications

(21 citation statements)

References 55 publications

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“…However, to describe in detail spectroscopic properties, one needs to go beyond the mean-field level to restore symmetries broken in the mean-field approximation as well as to take into account fluctuations with collective coordinates. Much effort has been devoted to increase the feasibility of such calculations, mostly in the framework of the pure generator coordinate method [9,[23][24][25][26] or its approximations [27,28]. The results confirm the usefulness and reliability of these EDF-based approaches for the study of nuclear spectroscopy.…”

Section: Introductionsupporting

confidence: 63%

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C
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Background:The available data for E2 transition strengths in the region between neutron-deficient hafnium and platinum isotopes are far from complete. More and precise data are needed to enhance the picture of structure evolution in this region and to test state-of-the-art nuclear models. In a simple model, the maximum collectivity is expected at the middle of the major shell. However, for actual nuclei, particularly in heavy-mass regions, which should be highly complex, this picture may no longer be the case, and one should use a more realistic nuclear-structure model. We address this point by studying the spectroscopy of Hf as a representative case. Purpose: We remeasure the 2 + 1 half-lives of 172,174,176 Hf, for which there is some disagreement in the literature. The main goal is to measure, for the first time, the half-lives of higher-lying states of the rotational band. The new results are compared to a theoretical calculation for absolute transition strengths. Method: The half-lives were measured using γ -γ and conversion-electron-γ delayed coincidences with the fast timing method. For the determination of half-lives in the picosecond region, the generalized centroid difference method was applied. For the theoretical calculation of the spectroscopic properties, the interacting boson model is employed, whose Hamiltonian is determined based on microscopic energy-density functional calculations.

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Section: Introductionsupporting

confidence: 63%

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C
Self Cite

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“…One possible approach to circumvent this problem, is to augment the NCSM method through a symplectic symmetry-adapted choice of basis [5]. A second approach is to employ energy density functionals and incorporate beyond mean-field effects by mapping to collective Hamiltonians [6], e.g., the interacting boson model (IBM) [7]. In both approaches the Hilbert spaces are based on particular dynamical algebras which lead to a dramatic reduction of the basis dimension.…”

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confidence: 99%

Partial dynamical symmetry as a selection criterion for many-body interactions

2013

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We propose the use of partial dynamical symmetry (PDS) as a selection criterion for higher-order terms in situations when a prescribed symmetry is obeyed by some states and is strongly broken in others. The procedure is demonstrated in a first systematic classification of many-body interactions with SU(3) PDS that can improve the description of deformed nuclei. As an example, the triaxial features of the nucleus 156 Gd are analyzed. Many-body forces play an important role in quantum many-body systems [1]. They appear either at a fundamental level or as effective interactions which arise due to restriction of degrees of freedom and truncation of model spaces. A known example is the structure of light nuclei, where two-nucleon interactions are insufficient to achieve an accurate description and higher-order interactions between the nucleons must be included [2]. Given the difficulty in constraining the nature of such higher-order terms from experiments, one is faced with the problem of their determination. One way, currently the subject of active research [3], is to determine them from chiral effective field theory applied to quantum chromodynamics. This establishes a hierarchy of inter-nucleon interactions according to their order. In light-medium nuclei, these interactions serve as input for ab-initio methods (e.g., the no-core shell model (NCSM) [4]) to generate, by means of similarity transformations, A-body effective Hamiltonians in computational tractable model spaces.The situation is more complex in heavy nuclei, where ab-initio methods are limited by the enormous increase in size of the model spaces required to accommodate correlated collective motion of many nucleons. One possible approach to circumvent this problem, is to augment the NCSM method through a symplectic symmetry-adapted choice of basis [5]. A second approach is to employ energy density functionals and incorporate beyond mean-field effects by mapping to collective Hamiltonians [6], e.g., the interacting boson model (IBM) [7]. In both approaches the Hilbert spaces are based on particular dynamical algebras which lead to a dramatic reduction of the basis dimension. Nevertheless, even with such simplification, the number of possible interactions in the effective Hamiltonians grows rapidly with their order, and a selection criterion is called for. In this Rapid Communication, we suggest a method to select possible higher-order terms which is based on the idea of partial dynamical symmetry (PDS).The concept of PDS [8] is a generalization of that of a dynamical symmetry (DS) [9] where the conditions of the latter (solvability of the complete spectrum, existence of exact quantum numbers for all eigenstates, and predetermined structure of the eigenfunctions) are relaxed and apply to only part of the eigenstates and/or of the quantum numbers. PDSs have been identified in various dynamical systems involving bosons and fermions (for a review, see Ref.[8]). They play a role in diverse phenomena including nuclear and molecular spectroscopy [10][11][12], q...

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“…This particular mass region (including the Pt nuclei) has been also studied in the framework of the IBM by Nomura et al without [41][42][43] and with the use of configuration mixing [44,45] using as input the total energy surfaces derived from HFB calculations (Gogny-D1M interaction), with the aim of mapping the mean-field energy surfaces onto IBM energy surfaces and, therefore, to obtain a set of parameters defining the IBM Hamiltonians.…”

Section: Introductionmentioning

confidence: 99%

Shape evolution and shape coexistence in Pt isotopes: Comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces

et al. 2014

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The evolution of the total energy surface and the nuclear shape in the isotopic chain Pt are studied in the framework of the interacting boson model, including configuration mixing. The results are compared with a self-consistent Hartree-Fock-Bogoliubov calculation using the Gogny-D1S interaction and a good agreement between both approaches is found. The evolution of the deformation parameters points towards the presence of two different coexisting configurations in the region 176 A 186.

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Quadrupole collective dynamics from energy density functionals: Collective Hamiltonian and the interacting boson model

Cited by 23 publications

References 55 publications

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C
Self Cite

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C
Self Cite

Partial dynamical symmetry as a selection criterion for many-body interactions

Shape evolution and shape coexistence in Pt isotopes: Comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces

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Quadrupole collective dynamics from energy density functionals: Collective Hamiltonian and the interacting boson model

Cited by 23 publications

References 55 publications

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,Rüdigier1, Nomura2, Dannhoff3 et al. 2015Phys. Rev. CSelf Cite

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,Rüdigier1, Nomura2, Dannhoff3 et al. 2015Phys. Rev. CSelf Cite

Partial dynamical symmetry as a selection criterion for many-body interactions

Shape evolution and shape coexistence in Pt isotopes: Comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces

Contact Info

Product

Resources

About

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C
Self Cite

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C
Self Cite