Nuclear liquid-drop model and surface-curvature effects

Pomorski, K.; Dudek, J.

doi:10.1103/physrevc.67.044316

Cited by 426 publications

(426 citation statements)

References 37 publications

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“…Again, comparing the LDM values of unedf1 with those in Table I of Ref. [64], we note that the LDM parameters of unedf1 are closest to those of the BSk6 EDF [65] (a surf = 17.3 MeV and a ssym = −33 MeV) and the LSD LDM [66] (a surf = 17.0 MeV and a ssym = −38.9 MeV). In Sec.…”

Section: Leptodermous Expansionmentioning

confidence: 59%

Nuclear energy density optimization: Large deformations

et al. 2012

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A new Skyrme-like energy density suitable for studies of strongly elongated nuclei has been determined in the framework of the Hartree-Fock-Bogoliubov theory using the recently developed model-based, derivative-free optimization algorithm pounders. A sensitivity analysis at the optimal solution has revealed the importance of states at large deformations in driving the parameterization of the functional. The good agreement with experimental data on masses and separation energies, achieved with the previous parameterization unedf0, is largely preserved. In addition, the new energy density unedf1 gives a much improved description of the fission barriers in 240 Pu and neighboring nuclei.

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Section: Leptodermous Expansionmentioning

confidence: 59%

Nuclear energy density optimization: Large deformations

et al. 2012

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“…[48] (see also discussion in Ref. [5]) where it was claimed that one needs small curvature-energy coefficients to obtain a good fit to fission barriers. While we find about the same curvature energy for a variety of forces, the fission barriers of actinides and superheavy elements investigated in Ref.…”

Section: Resultsmentioning

confidence: 99%

“…[1][2][3][4][5]. These phenomenological models, often augmented by a shell correction which is calculated using average single-particle potentials, have been tuned up to describe nuclear bulk properties to a high precision.…”

Section: Introductionmentioning

confidence: 99%

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

et al. 2006

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The parameters of the nuclear liquid drop model, such as the volume, surface, symmetry, and curvature constants, as well as bulk radii, are extracted from the nonrelativistic and relativistic energy density functionals used in microscopic calculations for finite nuclei. The microscopic liquid drop energy, obtained self-consistently for a large sample of finite, spherical nuclei, has been expanded in terms of powers of A −1/3 (or inverse nuclear radius) and the isospin excess (or neutron-to-proton asymmetry). In order to perform a reliable extrapolation in the inverse radius, the calculations have been carried out for nuclei with huge numbers of nucleons, of the order of 10 6 . The Coulomb interaction has been ignored to be able to approach nuclei of arbitrary sizes and to avoid radial instabilities characteristic of systems with very large atomic numbers. The main contribution to the fluctuating part of the binding energy has been removed using the Green's function method to calculate the shell correction. The limitations of applying the leptodermous expansion to actual nuclei are discussed. While the leading terms in the macroscopic energy expansion can be extracted very precisely, the higher-order, isospin-dependent terms are prone to large uncertainties due to finite-size effects.

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“…In addition, to help identify the characteristics of the experimentally observed bands in 159 Er, aligned angular momentum (or alignment) [40] as a function of rotational frequency and the excitation energy relative to that of a rotating liquid drop (based on the Lublin Strasbourg model [41,42]) as a function of spin, are plotted in Figs. 13, 15, 16, and 17.…”

Section: Discussionmentioning

confidence: 99%

Diverse collective excitations in159Erup to high spin

Mustafa¹,

Ollier²,

Simpson³

et al. 2011

Phys. Rev. C

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A spectroscopic investigation of the γ decays from excited states in 159 Er has been performed in order to study the changing structural properties exhibited as ultrahigh spins (I > 60h) are approached. The nucleus 159 Er was populated by the reaction 116 Cd( 48 Ca,5nγ) at a beam energy of 215 MeV and the resulting γ decays were studied using the Gammasphere spectrometer. New rotational bands and extensions to existing sequences were observed, which are discussed in terms of the cranked shell model, revealing a diverse range of quasiparticle configurations. At spins around 50h there is evidence for a change from dominant prolate collective motion at the yrast line to oblate non-collective structures via the mechanism of band termination. A possible strongly deformed triaxial band occurs at these high spins, which indicates collectivity beyond 50h. The high spin data are interpreted within the framework of cranked Nilsson-Strutinsky calculations.

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Nuclear liquid-drop model and surface-curvature effects

Cited by 426 publications

References 37 publications

Nuclear energy density optimization: Large deformations

Nuclear energy density optimization: Large deformations

From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

Diverse collective excitations in159Erup to high spin

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