Weizsäcker-Skyrme-type mass formula by considering radial basis function correction

• Published in: Journal of physics. G, Nuclear and particle physics Nuclear and particle physics, 2015-09, Vol.42 (9), p.95107
• Main Authors: Ma, Na Na, Zhang, Hai Fei, Bao, Xiao Jun, Chen, Peng Hui, Dong, Jian Min, Li, Jun Qing, Hong Fei Zhang
• Format: Article
• Language: English
• Subjects: Binding energy; Binding energy (nuclear); decay; Deviation; Isotopes; mass formula; Mathematical analysis; Nuclei; Particle physics; Radial basis function; superheavy nuclei
• ISSN: 0954-3899; 1361-6471
• DOI: 10.1088/0954-3899/42/9/095107

By incorporating with the radial basis function correction, the Weizsäcker-Skyrme-type nuclear mass formula was further improved. The root-mean-square (rms) deviation of the binding energies between the theoretical calculations and 2267 experimental masses has been significantly reduced from 493 keV to 323 keV. The -decay energies obtained from the binding energy by this hybrid formula also become more precise, i.e. the rms deviations for the Z = 74-118 even-even isotopes and for the 46 superheavy nuclei fall from 420 keV to 161 keV and from 501 keV to 230 keV, respectively. With the above calculated values as inputs, the calculated -decay half-lives for the even-even (Z = 74-118) nuclei agree with the experimental ones very well, especially for the superheavy nuclei. Thus the further improved Weizsäcker-Skyrme-type nuclear mass formula is useful for predicting nuclear properties associated with mass evaluation systematically.