Half-lives of spherical proton emitters within the framework of fractional calculus
Articles > Article · 2014
Authors: Abdullah Engin ÇALIK, Hüseyin ŞİRİN, Huseyin Ertik, Buket Oder, Mursel Sen
International Journal of Modern Physics E, Journal Indexed in SCI Expanded, International, WoS, 2014, vol 23, pp 1450044-1450044
DOI: 10.1142/s021830131450044x
Summary
In this paper, the half-life values of spherical proton emitters such as Sb , Tm , Lu , Ta , Re , Ir , Au , Tl and Bi have been calculated within the framework of fractional calculus. Nuclear decay equation, related to this phenomenon, has been resolved by using Caputo fractional derivative. The order of fractional derivative μ being considered is 0 < μ ≤ 1, and characterizes the fractality of time. Half-life values have been calculated equivalent with empirical ones. The dependence of fractional derivative order μ on the nuclear structure has also been investigated.