Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2020, Vol. 31 ›› Issue (1): 9 doi: 10.1007/s41365-019-0718-8


Bethe-Weizsäcker semi-empirical mass formula parameters 2019 update based on AME2016

Djelloul Benzaid 1, Salaheddine Bentridi 1, Abdelkader Kerraci 1, Naima Amrani 2   

  1. 1Laboratory of Energy and Smart Systems, University of Khemis Miliana Route de Theniet El Had, 44225/Ain Defla, Algeria
    2Dosing, Analysis and Characterization in High Resolution Laboratory, Physics Department, Faculty of Sciences Ferhat ABBAS, Setif-1 19000, Algeria
  • Received:2019-09-26 Revised:2019-11-13 Accepted:2019-11-18
  • Contact: Djelloul Benzaid
PDF ShareIt Export Citation
Djelloul Benzaid, Salaheddine Bentridi, Abdelkader Kerraci, Naima Amrani. Bethe-Weizsäcker semi-empirical mass formula parameters 2019 update based on AME2016.Nuclear Science and Techniques, 2020, 31(1): 9     doi: 10.1007/s41365-019-0718-8

Abstract: In the present work, the classical Bethe-Weizsäcker (BW) mass formula with five energy terms is revisited and updated. We use the least-squares adjustments on the binding energy of 2497 different nuclides from the last update of the atomic mass evaluation, AME2016 published in March 2017, to provide a new set of energy coefficients of the mass formula. The obtained set of formula coefficients allowed us to reproduce most of the experimental values of the binding energies for each nucleus with A> 50. The comparison between the binding energies provided with updated mass formula and those of AME2016 on one hand, and those of previous works, on the other hand, yield relative errors that oscillate between less than 0.05% and 1.5%. The revisited BW formula is in very good agreement with the experimental data.

Key words: Binding energy of atomic nuclei, Mass formula parameters, AME2016, Least-squares adjustments