Bethe–Weizs?cker semiempirical mass formula coefficients 2019update based on AME2016  

作　　者：Djelloul Benzaid Salaheddine Bentridi Abdelkader Kerraci Naima Amrani 

机构地区：[1]Laboratory of Energy and Smart Systems,University of Khemis Miliana,Route de Theniet El Had,44225 Ain Defla,Algeria [2]Dosing,Analysis and Characterization in High Resolution Laboratory,Physics Department,Faculty of Sciences,Ferhat ABBAS University,19000 Se´tif-1,Algeria

出　　处：《Nuclear Science and Techniques》2020年第1期88-93,共6页核技术（英文）

摘　　要：In the present work, the classical Bethe–Weizs?cker(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 the one hand, and those of previous works,on the other hand, yields 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.In the present work, the classical Bethe–Weizs?cker(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 the one hand, and those of previous works,on the other hand, yields 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.

关 键 词：Binding energy of atomic nuclei Mass formula coefficients AME2016 Least-squares adjustments 

分 类 号：O571.2[理学—粒子物理与原子核物理]