α-Decay Half-Lives for Pb Isotopes Within Gamow-Like Model

Dashty T Akrawy

doi:10.11648/j.rst.20170304.12

Abstract

We studed alpha decay half-lives of Pb isotopes in the range 178 ≤ A ≥ 220, whithin Gamow-like model (GLM) which is based on Gamow theory. The empirical formulae like Royer formula, Universal Decay Low (UDL), Viola-Seaborg formula (VSS), Semi-empirical formula for Poenaru (SemFIS) and Denisov & Khudenko formula (DEKH) are used to calculate alpha decay half-lives. The results are compared with experimental data, and also with other theoretical models, the results are in a good agreement was achieved with experimental data.

Highlights

The study of alpha decay is one of the important modes to describe nuclear structure [1], it can be successfuly described by qunatum theory [2]
Zdeb et al [4], developed and used a simple model to calculate alpha decay half-lives, this formula baised on Gamow theory. this model formula is contain Coulomb potential adjusted parameter
The penetration probability of tunneling alpha particle through barrier potential are calculated within WentzelKramers-Brillouin (WKB) approximation using the following integral [4, 17]

Summary

Introduction

The study of alpha decay is one of the important modes to describe nuclear structure [1], it can be successfuly described by qunatum theory [2]. A simple formula for α-decay half-lives was derived using Wentzel–Kramers– Brillouin (WKB) approximation theory by A. New empirical formula was used to calculate alpha decay half-lives by Akrawy, which is modified the Royer formula [9]. Akrawy used (GLM) to calculate α-decay half-lives for Lv isotopes [10]. In this study we calculated the alpha decay decay half-lives for Pb isotopes using Gamow-Like Model (GLM), we compared the results with CPPM theoretical model [11] and with experimental data. We used some empirical formula to calculate alpha decay half-lives and to compare with GLD, like Royer formula [12], Universal Decay Low (UDL) [13], Viola-Seaborg formula (VSS) [14], Semi-empirical formula for Poenaru et. Al. (SemFIS) [15], and with Denisov & Khudenko formula (DEKH) [16]

Methods

Results

Conclusion