Communications in Theoretical Physics ›› 2021, Vol. 73 ›› Issue (9): 095301. doi: 10.1088/1572-9494/ac08fa

• Nuclear Physics • Previous Articles     Next Articles

Ability of the radial basis function approach to extrapolate nuclear mass

Tao Li1,2,(),Haiwan Wei1,Min Liu1,2,Ning Wang1,2,()   

  1. 1Department of Physics, Guangxi Normal University, Guilin, 541004, China
    2Guangxi Key Laboratory of Nuclear Physics and Technology, Guilin, 541004, China
  • Received: 2021-03-11 Revised: 2021-06-03 Accepted: 2021-06-08 Published: 2021-09-01
  • Contact: Tao Li E-mail:litao@gxnu.edu.cn;wangning@gxnu.edu.cn

Abstract:

The ability of the radial basis function (RBF) approach to extrapolate the masses of nuclei in neutron-rich and superheavy regions is investigated in combination with the Duflo-Zuker (DZ31), Hartree–Fock-Bogoliubov (HFB27), finite-range droplet model (FRDM12) and Weizsäcker-Skyrme (WS4) mass models. It is found that when the RBF approach is employed with a simple linear basis function, different mass models have different performances in extrapolating nuclear masses in the same region, and a single mass model may have different performances when it is used to extrapolate nuclear masses in different regions. The WS4 and FRDM12 models (two macroscopic–microscopic mass models), combined with the RBF approach, may perform better when extrapolating the nuclear mass in the neutron-rich and superheavy regions.

Key words: extrapolation ability, nuclear mass, radial basis function, root-mean-square deviation, mass model