Nuclear mass parabola and its applications * * Supported by National Natural Science Foundation of China, (11961131010, 11422548 and U1867212), and the Foundation of Guangxi innovative team (2017GXNSFGA198001, 2016GXNSFFA380001), and innovation fund of undergraduate at Anyang Normal University (ASCX/2019-Z055)

Abstract

We propose a method for extracting the properties of the isobaric mass parabola based on the total double -decay energies of isobaric nuclei. Two important parameters of the mass parabola, the location of the most -stable nuclei and the curvature parameter , are obtained for 251 A values, based on the total double -decay energies of nuclei compiled in the AME2016 database. The advantage of this approach is that the pairing energy term caused by the odd-even variation can be removed in the process, as well as the mass excess of the most stable nuclide for the mass number A, which are employed in the mass parabolic fitting method. The Coulomb energy coefficient MeV is determined by the mass difference relation for mirror nuclei, and the symmetry energy coefficient is also studied by the relation .