Systematic study of two-proton radioactivity within a Gamow-like model *

Abstract

In this study, based on the Gamow-like model, we systematically analyze two-proton ( ) radioactivity half-lives of nuclei near or beyond the proton drip line. It is found that the calculated results can reproduce experimental data well. Furthermore, using this model, we predict the half-lives of possible radioactivity candidates whose radioactivity is energetically allowed or observed but not yet quantified in the latest table of evaluated nuclear properties, i.e., NUBASE2016. The predicted results are in good agreement with those from other theoretical models and empirical formulas, namely the effective liquid drop model (ELDM), generalized liquid drop model (GLDM), Sreeja formula, and Liu formula.

Two-proton radioactivity within Coulomb and proximity potential model *

“…At first, we performed calculations on the 2p radioactivity half-lives of the true 2p radioactive nuclei of 19 Mg, 45 Fe, 48 Ni, 54 Zn and 67 Kr, amounting 10 experimental datasets within the CPPM, all the detailed calculated results are presented in Table 1. For comparison, the experimental 2p radioactivity half-lives and the calculated ones obtained by effective liquid drop model (ELDM) [42], generalized liquid drop model (GLDM) [43], and Gamow-like model [14] are also listed in Table 1. In this table, the first four columns represent the radioactive parent nucleus, the 2p radioactivity released energy Q 2p the angular momentum l taken away by the emitted two protons and the logarithmic form of experimental 2p radioactivity half-life denoted as logT expt 1/2 , respectively.…”

“…the reduced mass with m 2p and m d being the masses of emitted two protons and daughter nucleus, respectively [14]. r is the mass center distance between the emitted two protons and daughter nucleus.…”

“…From the theoretical point of view, several approaches have been proposed to analyze the 2p radioactivity during the recent decades [6,7,[35][36][37][38][39][40][41], which can be roughly divided into two categories. The one considers the emitted two protons from the parent nucleus being correlated strongly and formed a 2 He-like cluster, including the effective liquid drop model (ELDM) [42], Gamow-like model [14], generalized liquid drop model (GLDM) [43], etc. The other refers to the emitted two protons process being an isotropic emission with no angular correlation, which treated the parent nucleus is composed by two protons and a remnant core that usually called three body radioactivity [6,8,[44][45][46][47][48][49][50][51][52][53][54].…”

Systematic study of two-proton radioactivity half-lives within the two-potential approach with Skyrme-Hartree-Fock

“…In this work, we firstly calculate the 2p radioactivity half-lives of nuclei with 4<Z<36 using the TPA while the nuclear potential is obtained by SHF and compare our calculated results with the experimental data and theoretical results calculated by GLDM [62], ELDM [20] and Gamow-like models [63]. For Skyrme effective interaction, there are about 120 sets current Skyrme parameters.…”

“…To this end, in this work, considering the spectroscopic factor S 2p , we extend TPA-SHF to systematically study the 2p radioactivity half-lives of nuclei with 4<Z<36. For comparison, the generalized liquid drop model(GLDM) [62], the effective liquid drop model(ELDM) [20] and Gamow-like models [63]are also used.…”