Thomas-Fermi approach to nuclear mass formula

Pearson, J. M.; Aboussir, Y.; Dutta, A. K.; Nayak, R. C.; Farine, M.; Tondeur, F.

doi:10.1016/0375-9474(91)90418-6

Cited by 111 publications

(47 citation statements)

References 48 publications

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“…The trend of ε 0 from the Skyrme force SkM* is similar to those from HFB17 which is based on the Skyrme force Bsk17 [14]. With the help of the ETF2 approach, we obtain the coefficient of the I 4 term a Table I, denoted by a (4) sym (208) and a (4) sym (40), respectively. For almost all 36 selected Skyrme forces, the coefficients a (4) sym for finite nuclei are negative.…”

Section: Resultsmentioning

confidence: 57%

Mass dependence of symmetry energy coefficients in the Skyrme force

et al. 2015

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Based on the semi-classical extended Thomas-Fermi approach, we study the mass dependence of the symmetry energy coefficients of finite nuclei for 36 different Skyrme forces. The reference densities of both light and heavy nuclei are obtained. Eight models based on nuclear liquid drop concept and the Skyrme force SkM* suggest the symmetry energy coefficient a sym = 22.90 ± 0.15 MeV at A = 260, and the corresponding reference density is ρ A ≃ 0.1 fm −3 at this mass region. The standard Skyrme energy density functionals give negative values for the coefficient of the I 4 term in the binding energy formula, whereas the latest Weizsäcker-Skyrme formula and the experimental data suggest positive values for the coefficient. * wangning@gxnu.edu.cn

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Section: Resultsmentioning

confidence: 57%

Mass dependence of symmetry energy coefficients in the Skyrme force

et al. 2015

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“…Until recently the masses and barriers used in all studies of the r-process were calculated on the basis of one form or another of the liquid-drop(let) model (LDM). However, in an attempt to put the extrapolations on as rigorous a footing as possible we have developed a mass formula that is based entirely on microscopic forces, the ETFSI-1 mass formula [3,4,5,6,7]. Calculations of the r-process using the ETFSI-1 masses have already been performed [8,9], but they are incomplete in that fission had to be neglected, barriers not yet having been calculated in the ETFSI model.…”

Section: Introductionmentioning

confidence: 99%

Fission barriers of neutron-rich and superheavy nuclei calculated with the ETFSI method

et al. 2001

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Using the ETFSI (extended Thomas-Fermi plus Strutinsky integral) method, we have calculated the fission barriers of nearly 2000 exotic nuclei, including all the neutron-rich nuclei up to A = 318 that are expected to be relevant to the r-process, and all superheavy nuclei in the vicinity of N = 184, with Z ≤ 120. Our calculations were performed with the Skyrme force SkSC4, which was determined in the ETFSI-1 mass fit. For proton-deficient nuclei in the region of N = 184 we find the barriers to be much higher than previously believed, which suggests that the r-process path might continue to mass numbers well beyond 300. For the superheavy nuclei we typically find barrier heights of 6-7 MeV. PACS: 24.75.+i; 95.30.Cq * Supported in part by FNRS (Belgium) and NSERC (Canada)

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“…7 compare the experimental masses with the extended Thomas-Fermi model of Pearson et al [42]. This model avoids the arbitrary division in a macroscopic and a microscopic part by calculating both gross and single particle e ects from the same Skyrme force.…”

Section: Comparison With Mass Formulaementioning

confidence: 95%

“…The adjusted masses represent the zero line and their uncertainties are given by the error band. The models are from top to bottom: Janecke and Masson [36], Du o and Zuker [39], Moller et al [40,41], and Pearson et al [42]. For each model the RMS deviation is given in the gure.…”

Section: T I M E [ S ]mentioning

confidence: 99%

High-accuracy mass determination of unstable cesium and barium isotopes

et al. 1999

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Direct mass measurements of short-lived Cs and Ba isotopes have been performed with the tandem Penning trap mass spectrometer ISOLTRAP installed at the online isotope separator ISOLDE at CERN. Typically, a mass resolving power of 600 000 and an accuracy of m 13 keV have been obtained. The masses of 123;124;126 Ba and 122m Cs were measured for the rst time. A least-squares adjustment has been performed and the experimental masses are compared with theoretical ones, particularly in the frame of a macroscopic-microscopic model.

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Thomas-Fermi approach to nuclear mass formula

Cited by 111 publications

References 48 publications

Mass dependence of symmetry energy coefficients in the Skyrme force

Mass dependence of symmetry energy coefficients in the Skyrme force

Fission barriers of neutron-rich and superheavy nuclei calculated with the ETFSI method

High-accuracy mass determination of unstable cesium and barium isotopes

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