Propagation of statistical uncertainties in covariant density functional theory: Ground state observables and single-particle properties

Agbemava, S. E.; Afanasjev, A. V.; Taninah, A.

doi:10.1103/physrevc.99.014318

Cited by 16 publications

(6 citation statements)

References 88 publications

(234 reference statements)

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“…[3,7]). Note that in the CDFT, statistical uncertainties emerging from the details of the fitting protocol are significantly smaller than systematic ones originating from the choice of the form of the functional [8]. This is contrary to the case of non-relativistic Skyrme energy density functionals in which these two types of uncertainties are comparable at nuclear limits [7,9].…”

Section: Introductionmentioning

confidence: 89%

Models Based on Tensors with Respect to Groups

Pędrak¹,

Vinitsky²,

Гусев³

et al. 2020

Acta Phys. Pol. B Proc. Suppl.

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The study of nuclear limits has been performed and new physical mechanisms and exotic shapes allowing the extension of nuclear landscape beyond the commonly accepted boundaries have been established. The transition from ellipsoidal-to-toroidal shapes plays a critical role in potential extension of nuclear landscape to hyperheavy nuclei. Rotational excitations leading to the birth of particle (proton or neutron) bound rotational bands provide a mechanism for an extension of nuclear landscape beyond spin-zero proton and neutron drip lines.

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Section: Introductionmentioning

confidence: 89%

Models Based on Tensors with Respect to Groups

Pędrak¹,

Vinitsky²,

Гусев³

et al. 2020

Acta Phys. Pol. B Proc. Suppl.

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“…δ r 2 28,20 [fm 2 ] J [MeV] L0 [MeV] exper. [11] -0.001 N/A N/A NL-IT [5] ≈ 0.06 39.4 N/A NL-SH [63] 0.040 36.13 113.68 NL5(E) [64] 0 their isovector dependencies. This is because theoretical results will not be polluted by the uncertainties in the treatment of pairing.…”

Section: Cedfmentioning

confidence: 97%

Charge radii in covariant density functional theory: a global view

Perera,

Afanasjev,

Ring

2021

Preprint

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A systematic global investigation of differential charge radii has been performed within the CDFT framework for the first time. Theoretical results obtained with conventional covariant energy density functionals and separable pairing interaction of Ref.[1] are compared with experimental differential charge radii in the regions of the nuclear chart in which available experimental data crosses neutron shell closures at N = 28, 50, 82 and 126. The analysis of absolute differential radii of different isotopic chains and their relative properties indicate clearly that such properties are reasonably well described in model calculations in the cases when the mean-field approximation is justified. However, while the observed clusterization of differential charge radii of different isotopic chains is well described above the N = 50 and N = 126 shell closures, it is more difficult to reproduce it above the N = 28 and N = 82 shell closures because of possible deficiencies in underlying single-particle structure. The impact of the latter has been evaluated for spherical shapes and it was shown that the relative energies of the single-particle states and the patterns of their occupation with increasing neutron number have an appreciable impact on the evolution of the δ r 2 N,N values. These factors also limit the predictive power of model calculations in the regions of high densities of the single-particle states of different origin. It is shown that the kinks in the charge radii at neutron shell closures are due to the underlying single-particle structure and due to weakening or collapse of pairing at these closures. The regions of the nuclear chart in which the correlations beyond mean-field are expected to have an impact on charge radii are indicated; the analysis shows that the assignment of a calculated excited prolate minimum to the experimental ground state allows to understand the trends of the evolution of differential charge radii with neutron number in many cases of shape coexistence even at the mean-field level. It is usually assumed that pairing is a dominant contributor to odd-even staggering (OES) in charge radii. Our analysis paints a more complicated picture. It suggests a new mechanism in which the fragmentation of the single-particle content of the ground state in odd-mass nuclei due to particle-vibration coupling provides a significant contribution to OES in charge radii.

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“…Note that the NL3* and PC-PK1 functionals have 6 and 9 parameters, respectively. However, the analysis of parametric correlations shows that in reality there are only 5 and 6 independent parameters in these two functionals [46,58].…”

Section: B Theoretical Uncertainties In Primary Fission Barriers and ...mentioning

confidence: 99%

“…Since statistical uncertainties in the physical observables are smaller than systematic ones (see Ref. [46]), we focus here on the latter ones. They are related to the choice of EDF.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, a number of new functionals were fitted in the time period between 2014 and 2020 (see, for example, Refs. [46,[55][56][57][58]) so at present the total number of available CEDFs is likely to be in the vicinity of 300. Because of extremely time-consuming nature of numerical calculations in this project, we use only the indicated last generation functionals.…”

Section: Introductionmentioning

confidence: 99%

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Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: the ground state and fission properties

Taninah,

Agbemava,

Afanasjev

2020

Preprint

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The systematic investigation of the ground state and fission properties of even-even actinides and superheavy nuclei with Z = 90 − 120 from the two-proton up to two-neutron drip lines with proper assessment of systematic theoretical uncertainties has been performed for the first time in the framework of covariant density functional theory (CDFT). These results provide a necessary theoretical input for the r-process modeling in heavy nuclei and, in particular, for the study of fission cycling. Four state-of-the-art globally tested covariant energy density functionals (CEDFs), namely, DD-PC1, DD-ME2, NL3* and PC-PK1, representing the major classes of the CDFT models are employed in the present study. Ground state deformations, binding energies, two neutron separation energies, α-decay Qα values and half-lives and the heights of fission barriers have been calculated for all these nuclei. Theoretical uncertainties in these physical observables and their evolution as a function of proton and neutron numbers have been quantified and their major sources have been identified. Spherical shell closures at Z = 120, N = 184 and N = 258 and the structure of the single-particle (especially, high-j) states in their vicinities as well as nuclear matter properties of employed CEDFs are two major factors contributing into theoretical uncertainties. However, different physical observables are affected in a different way by these two factors. For example, theoretical uncertainties in calculated ground state deformations are affected mostly by former factor, while theoretical uncertainties in fission barriers depend on both of these factors.

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Propagation of statistical uncertainties in covariant density functional theory: Ground state observables and single-particle properties

Cited by 16 publications

References 88 publications

Models Based on Tensors with Respect to Groups

Models Based on Tensors with Respect to Groups

Charge radii in covariant density functional theory: a global view

Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: the ground state and fission properties

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