Strong screening effects on resonant nuclear reaction ${}^{23}$Mg $(p,\gamma )$ ${}^{24}$Al in the surface of magnetars

Abstract

Based on the theory of relativistic superstrong magnetic fields(SMFs), by using the method of the Thomas-Fermi-Dirac approximations, we investigate the problem of strong electron screening(SES) in SMFs, and the influence of SES on the nuclear reaction of ${}^{23}$Mg $(p,\gamma )$${}^{24}$Al. Our calculations show that the nuclear reaction will be markedly effected by the SES in SMFs in the surface of magnetars. Our calculated screening rates can increase two orders of magnitude due to SES in SMFs.