English

New Geiger-Nuttall law for two-proton radioactivity

Nuclear Theory 2020-12-02 v1

Abstract

In the present work, combining with the Geiger-Nuttall law, a two-parameter empirical formula is proposed to study the two-proton (2p) radioactivity. Using this formula, the calculated 2p radioactivity half-lives are in good agreement with the experimental data as well as the calculated ones obtained by Goncalves et al: ([Phys. Lett. B 774, 14 (2017)]) using the effective liquid drop model (ELDM), Sreeja et al: ([Eur. Phys. J. A 55, 33 (2019)]) using a four-parameter empirical formula and Cui et al: ([Phys. Rev. C 101: 014301 (2020)]) using a generalized liquid drop model (GLDM). In addition, this two-parameter empirical formula is extended to predict the half-lives of 22 possible 2p radioactivity candidates, whose the 2p radioactivity released energy Q2p>0, obtained from the latest evaluated atomic mass table AME2016. The predicted results have good consistency with ones using other theoretical models such as the ELDM, GLDM and four-parameter empirical formula.

Keywords

Cite

@article{arxiv.2012.00295,
  title  = {New Geiger-Nuttall law for two-proton radioactivity},
  author = {Hong-Ming Liu and You-Tian Zou and Xiao Pan and Jiu-Long Chen and Biao He and Xiao-Hua Li},
  journal= {arXiv preprint arXiv:2012.00295},
  year   = {2020}
}

Comments

6 pages, 2 figures