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.

In the present work we systematically study α decay half-lives of Z > 51 nuclei using the modified Gamow-like model which includes the effects of the centrifugal potential and electrostatic shielding. For the case of even-even nuclei, this model contains two adjustable parameters: the parameter a related to the screened electrostatic barrier and the radius constant r 0 , while for the case of odd-odd and odd-A nuclei, it is added a new parameter i.e. hindrance factor h which is used to describe the effect of an odd-proton and/or an odd-neutron.Our calculations can well reproduce the experimental data. In addition, we use this modified Gamow-like model to predict the α-decay half-lives of seven even-even nuclei with Z = 120 and some un-synthesized nuclei on their α decay chains.

In the present work we systematically study the half-lives of proton radioactivity for 51 ≤ Z ≤ 83 nuclei based on the Gamow-like model with a screened electrostatic barrier. In this model there are two parameters while considering the screened electrostatic effect of Coulomb potential with the Hulthen potential i.e. the effective nuclear radius parameter r 0 and the screening parameter a. The calculated results can well reproduce the experimental data. In addition, we extend this model to predict the proton radioactivity half-lives of 16 nuclei in the same region within a factor of 2.94, whose proton radioactivity are energetically allowed or observed but not yet quantified. Meanwhile, studying on the proton radioactivity half-life by a type of universal decay law has been done. The results indicate that the calculated half-lives are linearly dependent on Coulomb parameter with the same orbital angular momentum.Systematic study of proton radioactivity based on Gamow-like model with a screened electrostatic barrier2 been identified between Z = 51 and Z = 83 [5,6]. As an important decay mode of unstable nuclei, proton radioactivity is an useful tool to obtain spectroscopic information because the decaying proton is the unpaired proton not filling its orbit and to extract important information about nuclear structure lying beyond the proton drip line, such as the coupling between bound and unbound nuclear states, the shell structure [7] and so on. There are a lot of models and empirical formulas having been proposed to deal with the proton radioactivity such as the effective interactions of densitydependent M3Y (DDM3Y) [8,9], the single-folding model [9][10][11], the distorted-wave Born approximation [12], Jeukenne, Lejeune and Mahaux (JLM) [8], the generalized liquid-drop model [13-15], the finite-range effective interaction of Yukawa form [16], the R-matrix approach [18], the Skyrme interactions [19], the relativistic density functional theory [20], the phenomenological unified fission model [21, 22], the twopotential approach (TPA) [5] which is also successfully applied to the α decay and cluster radioactivity [23-28], the Coulomb and proximity potential model (CPPM) [29], a simple empirical formula proposed by Delion et al. [30] and so on. For more details about different theories of proton radioactivity, the readers are referenced to Ref. [17].Recently, Budaca et al. used a simple analytical model based on the WKB approximation considering the screened effect of emitted proton-daughter nucleus Coulomb interaction with the Hulthen potential to systematically study the half-lives of proton radioactivity for 41 nuclei with Z ≥ 51 [31]. The results indicate that the difference between the outer turning point radii corresponding to pure Coulomb and Hulthen barriers increases with the proton number Z increasing. Whereas the penetration probability is sensitive to the outer turning point radii. In 2016, Zdeb et al. [32] calculated the half-life of proton radioactivity with a Gamow-like model, which has much deeper ...

In this work we present a systematic study of the proton radioactivity half-lives of spherical proton emitters within the Coulomb and proximity potential model. We investigate 28 different versions of the proximity potential formalisms developed for the description of proton radioactivity, α decay and heavy particle radioactivity. It is found that 21 of them are not suitable to deal with the proton radioactivity, because the classical turning points rin cannot be obtained due to the fact that the depth of the total interaction potential between the emitted proton and the daughter nucleus is above the proton radioactivity energy. Among the other 7 versions of the proximity potential formalisms, it is Guo2013 which gives the lowest rms deviation in the description of the experimental half-lives of the known spherical proton emitters. We use this proximity potential formalism to predict the proton radioactivity half-lives of 13 spherical proton emitters, whose proton radioactivity is energetically allowed or observed but not yet quantified, within a factor of 3.71.

The α decay half-life of the unknown nucleus 297Og is predicted within the two-potential approach, and α preformation probabilities of 64 odd-A nuclei in the region of proton numbers 82 < Z < 126 and neutron numbers 152 < N < 184, from 251Cf to 295Og, are extracted. In addition, based on the latest experimental data, a new set of parameters for α preformation probabilities considering the shell effect and proton-neutron interaction are obtained. The predicted α decay half-life of 297Og is 0.16 ms within a factor of 4.97. The predicted spin and parity of the ground states for 269Sg, 285Fl and 293Lv are 3/2+, 3/2+ and 5/2+, respectively.