An improved α-decay energy formula for heavy and superheavy nuclei


 Based on the liquid-drop model and considering the shell correction, a simple α-decay energy formula is proposed for heavy and superheavy nuclei. In this formula, the first derivative of the normalized Gaussian function is used to correct the α-decay energy for nuclei with large deviations caused by the shell effects. The parameters of this formula are obtained through fitting α-decay energies of 209 nuclei ranging from Z = 90 to Z = 118 with N ≧ 140. The calculated results are in good agreement with experimental data. The average and standard deviations between experimental data and theoretical results are 0.141 and 0.190 MeV, respectively. For comparison, the reliable formulae proposed by Dong T K et\ al. [Phys. Rev. C 82, 034320(2010)], Dong J M et\ al. [Phys. Rev. C 81, 064309(2010)] and WS3+ nuclear mass model proposed by Wang N et\ al. [Phys. Rev. C 84, 051303(2011)] are also used. The results indicate that our improved 7-parameter formula is superior to these empirical formulae and is largely consistent with WS3+ nuclear mass model. In addition, we extend this formula to predict the α-decay energies for nuclei ranging from Z = 117 to Z = 120. The predicted results of these formulae are basically consistent.