Phenomenological calculation for nuclear masses and charge radii

Duflo, J.

doi:10.1016/0375-9474(94)90737-4

Cited by 61 publications

(66 citation statements)

References 30 publications

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“…In Table III, we consider the predictability of three of the currently preferred mass models, the Finite Range Liquid Drop Model (FRDM) [6], the DufloZuker (DZ) model [7]), and the mass model derived from Hartree-Fock-Bogolyubov theory [8], and show the rms deviations of the different mass models from the GK predictions calculated with eq.(4). We restrict the analysis to cases in which 12 estimates are possible.…”

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confidence: 99%

Garvey-Kelson relations and the new nuclear mass tables

et al. 2008

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Garvey-Kelson relations and the new nuclear mass tables

et al. 2008

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“…Figure 7 shows the difference between the calculated and experimental radii. For a comparison, note that Duflo and Zuker state a least-squares error of about χ r 0.01 fm for the charge radii of spherical nuclei [49]. Radii from Skyrme functionals exhibit a rootmean-square deviation of about 0.025 fm [15].…”

Section: B Radiimentioning

confidence: 99%

Occupation-number-based energy functional for nuclear masses

2012

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We develop an energy functional with shell-model occupations as the relevant degrees of freedom and compute nuclear masses across the nuclear chart. The functional is based on Hohenberg-Kohn theory with phenomenologically motivated terms. A global fit of the 17-parameter functional to 2049 nuclear masses yields a root-mean-square deviation of χ = 1.31 MeV. Nuclear radii are computed within a model that employs the resulting occupation numbers.

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“…ε i , ε j are slopes of the difference (E exp − E mac ) in function of z i and n j respectively. E s is a universal factor for all shell effects, its value is: E s = 26.004MeV [3].…”

Section: Mass Formulamentioning

confidence: 99%

“…To deduce the parameters of this formula, a fit of experimental binding energies of neutron rich A ∼ 32 nuclei was carried out [1,3,4].…”

Section: Determination Of Parametersmentioning

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Improvement of mass calculations for the neutron rich A ~ 32 nuclei

Khaled¹,

Ramdhane²

2007

Braz. J. Phys.

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In previous works anomalies were observed in binding energies for the island of inversion nuclei centered at Z=11, N=21 by the comparison of theoretical calculations and experiment. An attempt was made in this work using an improved term of shell corrections to observe the evolution of these anomalies. This term was added to the macroscopic part of the previous mass formula and binding energy calculations have been carried out. A distribution of these latter on a (N,Z) chart has indicated that the calculated values increase with the increase of N for all values studied as for those of experiment except the value of Z=10. This result shows the presence of these anomalies only in the line Z=10 and their absence in the lines Z=11 and 12. Although this shell correction includes a term representing an interaction between protons and neutrons of valence shells, but it is insufficient to study this deformed mass region.

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Phenomenological calculation for nuclear masses and charge radii

Cited by 61 publications

References 30 publications

Garvey-Kelson relations and the new nuclear mass tables

Garvey-Kelson relations and the new nuclear mass tables

Occupation-number-based energy functional for nuclear masses

Improvement of mass calculations for the neutron rich A ~ 32 nuclei

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