Shell effects in nuclear masses and deformation energies

Strutinsky, V. M.

doi:10.1016/0375-9474(67)90510-6

Cited by 1,988 publications

(964 citation statements)

References 4 publications

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“…The results discussed here were obtained within a MM model based on the single particle (SP) spectrum of a deformed Woods-Saxon potential [37]. The SP spectrum obtained from the deformed Woods-Saxon potential is used as input to compute the Strutinsky shell correction energy [38,39]. For the macroscopic part we used the Yukawa plus exponential model [40].…”

Section: Macroscopic-microscopic (Mm) Approachmentioning

confidence: 99%

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

et al. 2015

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This is a short review of methods and results of calculations of fission barriers and fission halflives of even-even superheavy nuclei. An approvable agreement of the following approaches is shown and discussed: The macroscopic-microscopic approach based on the stratagem of the shell correction to the liquid drop model and a vantage point of microscopic energy density functionals of Skyrme and Gogny type selfconsistently calculated within Hartree-Fock-Bogoliubov method. Mass parameters are calculated in the Hartree-Fock-Bogoliubov cranking approximation. A short part of the paper is devoted to the nuclear fission dynamics. We also discuss the predictive power of Skyrme functionals applied to key properties of the fission path of 266 Hs. It applies the standard techniques of error estimates in the framework of a χ 2 analysis.

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Section: Macroscopic-microscopic (Mm) Approachmentioning

confidence: 99%

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

et al. 2015

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“…The shell correction energy is then calculated by δE shell = E LN −Ẽ Strut , whereẼ Strut is obtained by the Strutinsky method [31,32] with a smoothing range γ = 1.20 ω 0 ( ω 0 = 41/A 1/3 MeV), and a correction polynomial of order p = 6. The pairing-deformation self-consistent PES is obtained in the multi-dimensional deformation space (β 2 , β 3 , β 4 , β 5 ) and the nuclear equilibrium deformation is determined by minimizing the PES.…”

Section: The Modelmentioning

confidence: 99%

Investigation of octupole effects in superheavy nuclei with improved potential-energy-surface calculations

et al. 2012

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It has been found that high-order deformation (e.g. β 6 ) can have important effects on the structures of superheavy nuclei. In the present work, we investigate octupole deformation effects on superheavy nuclei with an improved potential-energy-surface (PES) calculation by including reflection-asymmetric deformations in a space of (β 2 , β 3 , β 4 , β 5 ). The calculations give various deformations including highly deformed (β 2 ≈ 0.4) and superdeformed (β 2 ≈ 0.7) shapes. The octupole-deformation degree of freedom mainly affects the fission barrier beyond the second minimum of PES. Experimentally, octupole correlation manifests itself in atomic nuclei usually with enhanced E1 transitions connecting interleaved positive and negative-parity bands, which is similar to the rotational bands observed in reflectionasymmetric molecules [1]. Such correlation originates from the coupling of a pair of single-particle orbitals close to the Fermi Surface and having ΔN = 1, Δl = 3 and Δ j = 3. superdeformed minima are soft with respect to octupole deformations in A∼40, A∼150 and A∼190 mass regions [6][7][8]. This is because the single-particle spectrum at superdeformations favors octupole excitations due to the presence of intruder states [2]. Experiments have identified some octupolevibrational states and strong E1 transitions which are expected to connect these vibrational levels to the lowest SD band [7][8][9][10].With the development of the radioactive beam facility, heavy-ion accelerator and highly-effective detector systems [11,12], great progress has been made recently in nuclear physics including the synthesis of superheavy nuclei [13][14][15]. The deformations of superheavy nuclei are interesting. Superdeformed prolate [16][17][18] and superdeformed oblate [19] shapes have been predicted. In our previous works [20,21], we discussed the β 6 effects in superheavy nuclei [20] and the β 3 effects on high-K states at the second well of actinide nuclei [21]. In the present paper, using an improved potentialenergy-surface (PES) with the inclusion of reflectionasymmetric β 3 and β 5 deformations, we systematically calculate 248−264

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“…Indeed, according to Strutinsky's energy theorem [5], the nuclear binding energy may be separated into two main components: one large and smooth and another one small and fluctuating. Whereas successful in reproducing the smooth general trends, the LDM fails to account for the rapid fluctuations with Z and N around shell gaps.…”

Section: Introductionmentioning

confidence: 99%

Nuclear mass predictions for the crustal composition of neutron stars: A Bayesian neural network approach

2016

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Background: Besides their intrinsic nuclear-structure value, nuclear mass models are essential for astrophysical applications, such as r-process nucleosynthesis and neutron-star structure.Purpose: To overcome the intrinsic limitations of existing "state-of-the-art" mass models through a refinement based on a Bayesian Neural Network (BNN) formalism.Methods: A novel BNN approach is implemented with the goal of optimizing mass residuals between theory and experiment.Results: A significant improvement (of about 40%) in the mass predictions of existing models is obtained after BNN refinement. Moreover, these improved results are now accompanied by proper statistical errors. Finally, by constructing a "world average" of these predictions, a mass model is obtained that is used to predict the composition of the outer crust of a neutron star. Conclusions:The power of the Bayesian neural network method has been successfully demonstrated by a systematic improvement in the accuracy of the predictions of nuclear masses. Extension to other nuclear observables is a natural next step that is currently under investigation.

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Shell effects in nuclear masses and deformation energies

Cited by 1,988 publications

References 4 publications

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100

Investigation of octupole effects in superheavy nuclei with improved potential-energy-surface calculations

Nuclear mass predictions for the crustal composition of neutron stars: A Bayesian neural network approach

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