Theoretical studies on the alpha decay of 178–220Pb isotopes

Confirmation of the new isotope Pb178

“…The theoretical α-decay half-life t calc 1/2 values were taken from Ref. [8] using two different models, the Coulomb and proximity potential model (CPPM) and the analytical formulas of Royer et al [26] using the generalized liquid drop model (GLDM) and the semi-empirical Rasmussen method [27] was also used for comparison. Figure 4(a) shows a comparison of the calculated experimental α-decay spectroscopic factor S exp using the three different models as a function of neutron number.…”

“…Therefore, the large error in the 178 Pb half-life causes the large uncertainty in the α-decay reduced-width value, while the accuracy of the 178 Pb α-particle energy is not a major factor. [8,27] using the CCPM, the GLDM models, and Rasmussen method, respectively; (b) α-decay reducedwidth values as function of neutron number for even-A lead, mercury, and platinum nuclei. The experimental values of the Pb isotopes in both panels (a) and (b) are obtained from Refs.…”

“…The α-decay energy and halflife are presented and put in a systematic context and are also compared to recent theoretical calculations [8]. Two events were previously assigned to the α decay of 178 Pb in Ref.…”

Phenomenological potential calculations for cluster decays

“…Numerous papers in which authors have used different methods have been published on finding half-lives of these cluster emissions with and without deformation [30][31][32][33][34][35][36][37][38]. More recently, intensive works have been continuing in order to get closed analytical formulas like the Geiger and Nuttall rule for the cluster decays of isotopes [39][40][41][42][43][44].…”

Systematic study ofαdecay half-lives for even-even nuclei within a two-potential approach

“…The traditional methods [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]such as the WKB approximation, and empirical formulas [23][24][25][26] are constantly evolving. Among these methods the microscopic * Corresponding author:lixiaohuaphysics@126.com double-folding model adopting density dependent M3Y force and the liquid drop model adopting the proximity potential have been researched frequently.…”