Alpha-cluster formation in light emitters near the N=Z line: A revisit

Fan, Jingya; Xu, Chang

doi:10.1016/j.nuclphysa.2019.05.010

Cited by 5 publications

(1 citation statement)

References 35 publications

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“…Since the pioneering work of Gamow [1], different theoretical methods have been proposed to treat this quasistationary question by solving the time-independent/dependent Schrödinger equation, such as the shell and cluster model [2,3], the S-matrix method [4], the direct method [5], the distorted wave approach [6], and the coupled channel approach [7]. In the quasi-classical limit, the probability of a preformed α particle penetrating through the Coulomb barrier can be approximately calculated by the Wentzel-Kramers-Brillouin (WKB) method [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Empirical formulas based on the WKB method can also be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

Exploring the half-lives of extremely long-lived α emitters *

Fan¹,

Xu²

2022

Chinese Phys. C

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Naturally occurring $\alpha$ emitters with extremely long half-lives are investigated using the latest experimental data. Within the time-dependent perturbation theory, $\alpha$ decay with a rather narrow width is treated as a quasi-stationary problem by dividing the potential between the $\alpha$ particle and daughter nucleus into a stationary part and a perturbation. The experimental $\alpha$ decay half-lives of seven available long-lived $\alpha$ emitters with $T^{\text{total}}_{1/2}>10^{14}$ y are reproduced with a good accuracy. It is also found that the deformation effect should be treated carefully for long-lived nuclei, especially with low $Q_\alpha$ values. Predictions of the $\alpha$ decay half-lives of twenty naturally occurring nuclei are provided, namely, $^{142}$Ce, $^{145,146}$Nd, $^{149}$Sm, $^{156}$Dy, $^{162,164}$Er, $^{168}$Yb, $^{182,183,184,186}$W, $^{187,188,189,190}$Os, $^{192,195}$Pt, and $^{204,206}$Pb. These nuclei are energetically unstable to $\alpha$ decay with low decay energies and extremely long decay half-lives. In particular, the candidates $^{187}$Os and $^{149}$Sm are strongly recommended for future experiments.

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