Odd-even mass differences from self-consistent mean field theory

Bertsch, G. F.; Bertulani, C. A.; Nazarewicz, W.; Schunck, N.; Stoitsov, M. V.

doi:10.1103/physrevc.79.034306

Cited by 151 publications

(205 citation statements)

References 64 publications

(101 reference statements)

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“…[60], one may argue that the standard Skyrme functionals, such as unedf0 and unedf1, lack the capability to describe many-body Coulomb effects; (ii) The explicit contribution of the Coulomb field to the pairing channel [67,68] is not taken into account. It is expected that separate pairing strengths for neutrons and protons, as in unedf1, will partly account for this missing contribution [35]. However, the existence of nontrivial correlations between pairing strengths and other parameters of the functional (see Table III) may have consequences for observables such as two-proton separation energies.…”

Section: Performance Of Unedf1 a Global Mass Tablementioning

confidence: 99%

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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: Performance Of Unedf1 a Global Mass Tablementioning

confidence: 99%

“…The value ρ c =0.16 fm −3 is used throughout this paper. We allow for different pairing strengths for protons (V p 0 ) and neutrons (V n 0 ) [35]. A cut-off of E cut = 60 MeV was used to truncate the quasi-particle space [36].…”

Section: Theoretical Framework a Time-even Skyrme Energy Densitymentioning

confidence: 99%

Nuclear energy density optimization: Large deformations

et al. 2012

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“…The authors of Ref. [55] considered that the overestimation in spherical nuclei may be partly attributed to the effect of the particle number fluctuation. They showed that the HFB calculation with the approximate particle number projection using the Lipkin-Nogami method improves the agreement with experiment for spherical nuclei.…”

Section: Choice Of V0mentioning

confidence: 99%

“…It is an open problem to construct the pair-DF which allows us to describe the pairing properties along the chains of semi-magic nuclei at the same quality achieved for deformed region [55,56,57]. The authors of Ref.…”

Section: Choice Of V0mentioning

confidence: 99%

Optimal pair density functional for the description of nuclei with large neutron excess

2009

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Toward a universal description of pairing properties in nuclei far from stability, we extend the energy density functional by enriching the isovector density dependence in the particle-particle channel (pair density functional, pair-DF). We emphasize the necessity of both the linear and quadratic isovector density terms. The parameters are optimized by the Hartree-Fock-Bogoliubov calculation for 156 nuclei of the mass number A = 118 − 196 and the asymmetry parameter (N − Z)/A < 0.25. We clarify that the pair-DF should include the isovector density dependence in order to take into account the effect of the isoscalar and isovector effective masses in the particle-hole channel consistently. The different Skyrme forces can give the small difference in the pairing gaps toward the neutron drip line, if the optimal pair-DF consistent with the particle-hole channel is employed.

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“…Several groups are pursuing these calculations, e.g., those in Refs. [105][106][107][108][109][110][111][112]123], and many open questions remain as, e.g. how well one can treat paring in nuclear matter.…”

Section: The Nuclear Chart Varieties Of Elementsmentioning

confidence: 99%

Current Status of Nuclear Physics Research

Bertulani

Hussein

2015

Braz J Phys

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In this review we discuss the current status of research in nuclear physics which is being carried out in different centers in the World. For this purpose we supply a short account of the development in the area which evolved over the last 9 decades, since the discovery of the neutron. The evolution of the physics of the atomic nucleus went through many stages as more data become available. We briefly discuss models introduced to discern the physics behind the experimental discoveries, such as the shell model, the collective model, the statistical model, the interacting boson model, etc., some of these models may be seemingly in conflict with each other, but this was shown to be only apparent.The richness of the ideas and abundance of theoretical models attests to the important fact that the nucleus is a really singular system in the sense that it evolves from two-body bound states such as the deuteron, to few-body bound states, such as 4 He, 7 Li, 9 Be etc. and up the ladder to heavier bound nuclei containing up to more than 200 nucleons. Clearly statistical mechanics, usually employed in systems with very large number of particles, would seemingly not work for such finite systems as the nuclei, neither do other theories which are applicable to condensed matter. The richness of nuclear physics stems from these restrictions. New theories and models are presently being developed. Theories of the structure and reactions of neutron-rich and proton-rich nuclei, called exotic nuclei, halo nuclei, or Borromean nuclei, deal with the wealth of experimental data that became available in the last 35 years. Further, nuclear astrophysics and stellar and Big Bang nucleosynthesis have become a more mature subject. Due to limited space, this review only covers a few selected topics, mainly those with which the authors have worked on. Our aimed potential readers of this review are nuclear physicists and physicists in other areas, as well as graduate students interested in pursuing a career in nuclear physics.

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Odd-even mass differences from self-consistent mean field theory

Cited by 151 publications

References 64 publications

Nuclear energy density optimization: Large deformations

Nuclear energy density optimization: Large deformations

Optimal pair density functional for the description of nuclei with large neutron excess

Current Status of Nuclear Physics Research

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