Investigation of proton radioactivity with the effective liquid drop model

Abstract

Proton radioactivity has been investigated using the effective liquid drop model with varying mass asymmetry shape and effective inertial coefficient. An effective nuclear radius constant formula replaces the old empirical one in the calculations. The theoretical halflives are in good agreement with the available experimental data. All the deviations between the calculated logarithmic half-lives and the experimental values are less than 0.8. The root-mean-square deviation is 0.523. Predictions for the half-lives of proton radioactivity are made for elements across the periodic table. From the theoretical results, there are 11 candidate nuclei for proton radioactivity in the region Z < 51. In the region Z > 83, no nuclei are suggested as probable candidate nuclei for proton radioactivity within the selected range of half-lives studied.

Systematic study of two-proton radioactivity with a screened electrostatic barrier *

“…One state involves an isotropic emission with no angular correlation, while the other has a strong correlation occurring as a -like emission from the parent nuclei. Based on these two descriptions and Wentzel-Kramers-Brillouin (WKB) theory, a number of theoretical models and/or empirical formulas were proposed for investigation of radioactivity, such as the direct decay model [16][17][18], the diproton model [17,[19][20][21][22][23][24], the three-body model [25][26][27][28], the empirical formulas of Sreeja [29] and Liu [30], and others [31][32][33][34]. These theoretical approaches have partially improved our understanding of the radioactivity phenomenon.…”

“…The detailed results are listed in Table 1. For comparison, the Gamow-like model [21], generalized liquid drop model [24], Sreeja formula [29], and Liu formula [30] are also employed. In this table, the first three columns represent the radioactive parent nucleus, radioactivity released energy, and the logarithmic form of experimental radioactive half-lives (Expt), respectively.…”

“…In this table, the first three columns represent the radioactive parent nucleus, radioactivity released energy, and the logarithmic form of experimental radioactive half-lives (Expt), respectively. The last five columns represent the logarithmic form of theoretical radioactive half-lives, which are calculated in this study and with the Gamow-like model (GLM) [21], generalized liquid drop model (GLDM) [24], Sreeja formula (Sreeja) [29], and Liu formula (Liu) [30], respectively. In order to intutively provide comparisons of the experimental radioactive half-lives with the calculated values, we present the decimal logarithm deviations between the experimental radioactive half-lives and the calculated values in Fig.…”

Systematic study of two proton radioactivity within the effective liquid drop model

“…O A P Tavares et al [31] also used the ELDM to explain alpha decay. Sheng Zong-Qiang et al used the ELDM with varying mass asymmetry shapes and effective inertia coefficient combinations (VMAS-WW) to explain the radioactivity of one proton [32]. M Goncalves et al calculated the half-lives of two proton emissions with atomic masses less than 70 using the ELDM in 2017 [33].…”

Investigation of the high-spin rotational properties of the proton emitter 113 Cs using a particle-number conserving method

“…Experimentally, after the first direct emission of a proton from an isomeric state was observed in 53 Co [3], almost 50 proton emitters have been identified to date, including the one-proton emitters with charges in the range 50 < Z < 83, twoproton emitters below Z = 50 [4], and β-delayed proton emitters [5]. Theoretically, various microscopic models have been used to explain the ground state properties, measured half-lives and spectroscopic information of the proton emitters [6][7][8][9][10][11][12][13].…”