Deformed one-quasiparticle states in covariant density functional theory

Afanasjev, A. V.; Shawaqfeh, Shereen A

doi:10.1016/j.physletb.2011.11.007

Cited by 53 publications

(113 citation statements)

References 43 publications

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“…The CRMF calculations have been performed with the NL3* functional [66] which is state-of-the-art functional for nonlinear meson-nucleon coupling model [67]. It is globally tested for ground state observables in eveneven nuclei [67] and systematically tested for physical observables related to excited states in heavy nuclei [57,68,69]. The CRMF and CRHB calculations with the NL3* CEDF provide a very successful description of different types of rotational bands [55,57,66] both at low and high spins.…”

Section: The Details Of the Theoretical Calculationsmentioning

confidence: 99%

From superdeformation to extreme deformation and clusterization in theN≈Znuclei of theA≈40mass region

Ray¹,

Afanasjev²

2016

Phys. Rev. C

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From superdeformation to extreme deformation and clusterization in the N ∼ Z nuclei of the A ∼ 40 mass region. A systematic search for extremely deformed structures in the N ∼ Z nuclei of the A ∼ 40 mass region has been performed for the first time in the framework of covariant density functional theory. At spin zero such structures are located at high excitation energies which prevents their experimental observation. The rotation acts as a tool to bring these exotic shapes to the yrast line or its vicinity so that their observation could become possible with future generation of γ−tracking (or similar) detectors such as GRETA and AGATA. The major physical observables of such structures (such as transition quadrupole moments as well as kinematic and dynamic moments of inertia), the underlying single-particle structure and the spins at which they become yrast or near yrast are defined. The search for the fingerprints of clusterization and molecular structures is performed and the configurations with such features are discussed. The best candidates for observation of extremely deformed structures are identified. For several nuclei in this study (such as 36 Ar), the addition of several spin units above currently measured maximum spin of 16 will inevitably trigger the transition to hyper-and megadeformed nuclear shapes.

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Section: The Details Of the Theoretical Calculationsmentioning

confidence: 99%

From superdeformation to extreme deformation and clusterization in theN≈Znuclei of theA≈40mass region

Ray¹,

Afanasjev²

2016

Phys. Rev. C

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“…Moreover, the density of bound neutron single-particle states close to the neutron continuum is substantially larger than that on the proton-drip line. As a consequence, inevitable inaccuracies in the DFT description of the deformed single-particle state energies which are present even in the valley of beta-stability [34] will lead to larger uncertainties in the predictions of the neutron-drip line.…”

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confidence: 99%

Nuclear landscape in covariant density functional theory

et al. 2013

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The neutron and proton drip lines represent the limits of the nuclear landscape. While the proton drip line is measured experimentally up to rather high Z-values, the location of the neutron drip line for absolute majority of elements is based on theoretical predictions which involve extreme extrapolations. The first ever systematic investigation of the location of the proton and neutron drip lines in the covariant density functional theory has been performed by employing a set of the state-of-the-art parametrizations. Calculated theoretical uncertainties in the position of two-neutron drip line are compared with those obtained in non-relativistic DFT calculations. Shell effects drastically affect the shape of two-neutron drip line. In particular, model uncertainties in the definition of two-neutron drip line at Z ∼ 54, N = 126 and Z ∼ 82, N = 184 are very small due to the impact of spherical shell closures at N = 126 and 184.Keywords: Proton and neutron drip lines, covariant density functional theory, two-particle separation energies At present, the nuclear masses of approximately 3000 out of roughly 7000 nuclei expected between nuclear drip lines are known [1]. Nuclear existence ends at the drip lines. While the proton drip line has been delineated in experiment up to protactinium (Z = 91), the position of the neutron drip line beyond Z = 8 is determined only in model calculations. Different models and different parameterizations show rather large variations in predictions of the neutron drip line. Moreover, because of experimental limitations even in foreseeable future it will be possible to define the location of neutron-drip line for the majority of elements only in model calculations. In such a situation it is important to estimate the errors in the location of the predicted neutron drip line introduced by the use of the various calculations. In this context we have to distinguish the results and related theoretical uncertainties obtained within the same model, but with different parameterizations and the results and uncertainties obtained with different models.Theoretical uncertainties(errors) in the prediction of physical observables have several sources of origin. Within one class of models they are the consequences of specific assumptions and the optimization protocols. The differences in the basic assumptions of different model classes is another source. They lead to theoretical uncertainties which can be revealed only by a systematic comparison of a variety of models.The first attempt to estimate theoretical uncertainties in the definition of two-neutron drip line within one class of models has been performed within the Skyrme density functional theory (SDFT) in Ref. The question of theoretical errors in the definition of the neutron drip line is still not resolved since the important class of nuclear structure models known under name covariant density functional theory (CDFT) [7,8,9,10,11] has not been applied so far in a reliable way to the study of this quantity. Typically, non-relativisti...

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“…From a practical standpoint, this peculiarity forces to consider many blocked quasiparticles in order to insure that the ground state is reached [9,10]. As a consequence, it is very important to have a robust and efficient method for solving odd-A systems for global applications such as the construction of theoretical mass tables [11,12,13,14]. The blocked wave functions break time reversal invariance and therefore their associated densities ρ and κ also break this symmetry.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Mean-field studies of time reversal breaking states in super-heavy nuclei with the Gogny force

Robledo

2015

AIP Conference Proceedings

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Abstract. Recent progress on the description of time reversal breaking (odd mass and multi-quasiparticle excitation) states in super-heavy nuclei within a mean field framework and using several flavors of the Gogny interaction is reported. The study includes ground and excited states in selected odd mass isotopes of nobelium and mendelevium as well as high K isomeric states in 254 No. These are two and four-quasiparticle excitations that are treated in the same self-consistent HFB plus blocking framework as the odd mass states.

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Deformed one-quasiparticle states in covariant density functional theory

Cited by 53 publications

References 43 publications

From superdeformation to extreme deformation and clusterization in theN≈Znuclei of theA≈40mass region

From superdeformation to extreme deformation and clusterization in theN≈Znuclei of theA≈40mass region

Nuclear landscape in covariant density functional theory

Mean-field studies of time reversal breaking states in super-heavy nuclei with the Gogny force

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