Half-lives of spherical proton emitters within the framework of fractional calculus
INTERNATIONAL JOURNAL OF MODERN PHYSICS E, vol.23, no.9, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 23 Issue: 9
- Publication Date: 2014
- Doi Number: 10.1142/s021830131450044x
- Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS E
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Proton radioactivity, fractional calculus, Mittag-Leffler function, RADIOACTIVITY
- Akdeniz University Affiliated: Yes
Abstract
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 mu being considered is 0 < mu <= 1, and characterizes the fractality of time. Half-life values have been calculated equivalent with empirical ones. The dependence of fractional derivative order mu on the nuclear structure has also been investigated.