Half-lives of spherical proton emitters within the framework of fractional calculus

Küçük Resim Yok

Tarih

2014

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

World Scientific Publ Co Pte Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Proton radioactivity, fractional calculus, Mittag-Leffler function

Kaynak

International Journal of Modern Physics E-Nuclear Physics

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

23

Sayı

9

Künye