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Thomas-Fermi approach to nuclear mass formula. (III). Force fitting and construction of mass table

par Pearson, Michael J.;Aboussir, Y.;Dutta, Antara;Nayak, Ramesh;Farine, M.;Tondeur, Florence
Référence Nuclear physics. A, 528, 1, page (1-47)
Publication Publié, 1991-06

Article révisé par les pairs

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Résumé :

The ETFSI method, developed in two earlier papers, is here used to construct a complete mass table. Since the method allows for interpolation both in the (N, Z) plane and with respect to deformations, without losing the characteristic shell-model fluctuations, it is some 2000 times faster than the HF-BCS method for a given force. The present table is calculated using a preliminary Skyrme-type force with δ-function pairing, fitted to a restricted data set of 491 spherical nuclei. The resulting rms error for all 1492 measured nuclei, spherical and deformed, with A ≥ 36 is ε rms = 0.868 MeV, achieved with just 9 parameters. The main experimental trends in ground-state deformations are well followed. The symmetry coefficient of nuclear matter corresponding to our force is 27.5 MeV. Ways of rapidly improving the fit are indicated. © 1991.