Theoretical Study of Proton Radioactivity
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heoretical Study of Proton Radioactivity M. R. Oudiha, *, M. Fellaha, and N. H. Allala aDepartment
of Physics, Houari Boumediene University of Sciences and Technology, El Alia, Bab Ezzouar, Algiers, 16111 Algeria *e-mail: [email protected]
Received March 2, 2020; revised April 15, 2020; accepted April 27, 2020
Abstract—The unified fission model with a Modified-Woods–Saxon (MWS) nuclear potential is used to study the proton decay of spherical proton emitters from the ground and isomeric states in the framework of WKB approximation. The results of our calculations are compared to those obtained by other theoretical models as well as experimental data. It is shown that the unified fission model with the MWS nuclear potential can be successfully used to evaluate the proton decay half-lives. DOI: 10.3103/S1062873820080237
INTRODUCTION After the discovery of classical radioactivities α, β, γ and fission, a multitude of disintegration modes were predicted theoretically. In particular, since the early 1960s, it has been predicted that for nuclei located at the proton drip-line, the last nucleon is no longer bound. Thus, a direct emission of a proton is expected [1]. Proton radioactivity was discovered about ten years after its prediction for the isomeric state of the isotope 53Co by Jackson et al. [2]. Proton radioactivity from a ground-state was first observed in the early 1980s in the disintegration of 151Lu and 147Tm [3–5]. Today, with the development of radioactive beam facilities nearly 30 proton emitters decaying from their ground states and 20 nuclei from isomeric states are known [6]. Research on this mode of nuclear decay has provided a wealth of information on the structure of exotic nuclei that are very rich in protons. Among other things, it is possible to establish the sequence of their orbitals or the composition of the wave function of the emitting nucleus [6, 7]. The precise measurement of the half-live and decay energy makes it possible to go back to the angular momentum of the proton and thus to characterize the orbital from which it was emitted into the parent nucleus. The phenomenon of particle emission is generally considered as a result of the quantum-mechanicaltunneling through a potential barrier taken as the sum of the Coulomb potential, the centrifugal potential and the nuclear potential between the daughter nucleus and the emitted particle. In recent studies, a modified Woods–Saxon (MWS) potential based on the Skyrme energy density functional and the extended Thomas–Fermi approach has been considered as the nuclear part of the potential barrier. The model has been very successful in describing alpha and cluster decay [8–12]. The aim of this work is to inves-
tigate the ability of this model to describe the proton decay of proton emitters from the ground and isomeric states using the WKB approximation in the framework of the unified fission model without deformation. It is important to note that although some of the proton emitters are spherical in shape, there are others that are moderately def
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