Proton emission half-lives within a Gamow-like model

A Zdeb,M Warda,C M Petrache,K Pomorski

doi:10.1140/epja/i2016-16323-7

Abstract

Proton emission is described using a model which has previously given good results in the description of $\alpha$ and cluster radioactivity. The simple phenomenological formalism, based on the Gamow theory for alpha decay, is now extended by including the centrifugal term. The model contains only one parameter: the effective nuclear radius constant. Its value was once found for alpha and cluster emitters. A good agreement with the experimental half-lives for proton radioactivity is achieved without any additional fitting procedures to the data for proton emission.

Highlights

The decay of 53Co from its isomeric state was the first experimental observation of proton radioactivity [1, 2]
Analogous to alpha and cluster radioactivity, proton emission might be understood in terms of the quantummechanical tunneling of the emitted particle through
The best accuracy in proton emission half-lives data reproduction is obtaineed for nuclear radius constant r0 = 1.20 fm

Summary

Introduction

The decay of 53Co from its isomeric state was the first experimental observation of proton radioactivity [1, 2]. The proton emission from the ground state of mother nuclei with masses in the range 110 ≤ A ≤ 150 was measured in the early 1980s [3]. This decay mode is typical for the odd-Z emitters beyond the proton drip line. The correlations between proton emission half-lives and the deformation of the mother nucleus were widely discussed in refs. The main aim of this paper is to show that using a very simple, uniform formalism, one can evaluate half-lives for the three different decay modes: alpha, cluster and proton radioactivity. Analogous to alpha and cluster radioactivity, proton emission might be understood in terms of the quantummechanical tunneling of the emitted particle through

Rout r

Nucleus l