Unified description of α-decay and cluster radioactivity in the trans-tin region

Abstract

We extend the modified two-potential approach to give an identical description of α-decay and cluster radioactivity in trans-tin nuclei within the density-dependent cluster model. The cluster-preformation factor (Pc) is well considered in two ways, respectively, based on some available experimental cases and a simple model for the reduced width. To obtain the fitted parameters of Pc expressions, various cluster emissions in trans-lead nuclei, with available experimental data, are initially investigated. Meanwhile, these calculated results are found to agree well with the measured values in this research. This can be considered as an active response to present calculations, which use the same formulae of the preformation factor to predict the cluster emission above the double-magic nucleus 100Sn. The experimental half-lives of α-decay are well reproduced, and some predictions for light α-emitters are also made. In addition, this work on cluster radioactivity in the light-mass region is also compared with other theoretical calculations. These calculated results may be useful for future experiments.

Half-lives of α decay from natural nuclides and from superheavy elements

“…Moreover, a zero-range term for the single-nucleon exchange is introduced in the M3Y NN interaction to guarantee the antisymmetrization of identical nucleons in the α cluster and in the core nucleus [37]. Subsequently, one can use the wave function to obtain the α decay width Γ (θ) for the given angle, as described in previous studies [30,31]. By averaging the width in various directions [16,17,22], the final decay width is given by…”

“…There is no doubt that the experimental α decay half-lives should be better reproduced if the preformation factor is considered as a variable along with different parent nuclei instead of a constant. Several detections have been performed for this subject, especially for the closed-shell nuclei [28][29][30][31]42]. This deserves further investigation.…”

“…With the help of phenomenological and effective α-core potentials, theoretical studies [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] have been subsequently proposed for α decay calculations especially in the last two decades. Among these studies, our group provided a unified formula for half-lives of α decay and cluster radioactivity [26] and a new Geiger-Nuttall relation was recently proposed for α decay including the effects of the quantum numbers of α-core relative motion [27] their experimental root-mean-square (rms) charge radii.…”

Attempt to probe nuclear charge radii by cluster and proton emissions

“…Similar to α decay and proton emission, cluster radioactivity, as another process triggered by the strong interaction, was predicted and then experimentally identified in the 1980s [5,6]. Like the traditional α-decay treatment, theoretical calculation of the half-lives of proton and cluster emissions can be generally divided as follows: phenomenological analysis [7][8][9][10], the semi-classical Wentzel-Kramers-Brillouin (WKB) approximation [11][12][13][14][15][16], and the microscopical solution of Schrödinger equations [17][18][19]. It is to be noted that these theoretical calculations show good agreement with the experimental half-lives of proton emission, α decay, or heavier cluster radioactivity.…”

“…The other interesting objective of the present article is to deduce the rms nuclear charge radii of exotic nuclei with short lifetimes around the proton dripline from the experimental energies and half-lives of proton emission. Previously, we have successfully combined the modified two-potential approach (MTPA) with the density-dependent cluster model so as to perform systematic investigation on the tunneling problem [15,19,27]. This model naturally involves the density distribution of studied nuclei in the calculation of half-lives of cluster radioactivity and proton emission.…”