Erratum: Alpha-cluster preformation factors in alpha decay for even–even heavy nuclei using the cluster-formation model

In the present work, based on Wentzel-Kramers-Brillouin (WKB) theory, considering the cluster preformation probability (Pc), we systematically investigate the cluster radioactivity half-lives of 22 trans-lead nuclei ranging from 221Fr to 242Cm. As for Pc, when the mass number of the emitted cluster Ac < 28, it is obtained by the exponential relationship of Pc to the α decay preformation probability (Pα) proposed by R.Blendowskeis et al. [Phys. Rev. Lett. 61, 1930 (1988)], while Pα is calculated through cluster-formation model (CFM). Whereas Ac ≥ 28, it is achieved through the charge-number dependence of Pc on the decay products proposed by Ren et al. [Phys. Rev. C 70, 034304 (2004)]. The half-lives of cluster radioactivity have been calculated by the density-dependent cluster model [Phys. Rev. C 70, 034304 (2004)] and by the unified formula of half-lives for alpha decay and cluster radioactivity [Phys. Rev. C 78, 044310 (2008)]. For comparison, a universal decay law (UDL) proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a semi-empirical model for both α decay and cluster radioactivity proposed by Santhosh [J. Phys. G: Nucl. Part. Phys. 35, 085102 (2008)] and a unified formula of half-lives for alpha decay and cluster radioactivity [Phys. Rev. C 78, 044310 (2008)] are also used. The calculated results in our work, Ni’s formula as well as UDL can well reproduce the experimental data and are better than those in Santhosh’s model. In addition, we extend this model to predict the half-lives for 51 nuclei, whose cluster radioactivity is energetically allowed or observed but yet not quantified in NUBASE2020.

“…where is the α decay preformation probability. In this work, it is obtained by the CFM [50]. For completeness, detailed information on the CFM is presented in the next subsection.…”

Section: V(r)mentioning

confidence: 99%

“…In CFM, the total initial clusterization state ψ of the considered emitted cluster-daughter nucleus system is a linear combination of all its n possible clusterization states [50]…”

Section: B Cluster-formation Modelmentioning

confidence: 99%

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Systematic calculations of cluster radioactivity half-lives in trans-lead nuclei*

Qi¹,

Zhang²,

Luo³

et al. 2023

“…In the work of Sun et al [5], the result considering the isospin asymmetry effect on nuclear potential has an obvious improvement to reproduce -de-α α α cay half-lives of 164 even-even nuclei in the two-potential model (TPM). Furthermore, it shows that the -decay width in the neutron skin-type (NST) case considering the effect of isospin asymmetry on proton and neutron density is about 30% greater than that in the Hartree-Fock formalism (HF) case [6]. Therefore, the effect of isospin asymmetry may play a key role in the determination of preformation factors.…”

Section: Introductionmentioning

confidence: 99%

Improved empirical formula for α particle preformation factor *

Zhang

2021

In this contribution, the preformation factors of 606 nuclei are extracted within the framework of the generalized liquid drop model (GLDM). Through the systematic analysis of the preformation factors of even-even Po-U isotopes, we found that there is a significant weakening of influence of shell closure in uranium, which is consistent with the results of a recent experiment [J. Khuyagbaatar et al., Phys. Rev. Lett. 115, 242502 (2015)], implying that may not be the magic number for U isotopes. Furthermore, we propose an improved formula with only 7 parameters to calculate preformation factors suitable for all types of -decay; it has fewer parameters than the original formula proposed by Zhang et al. [H. F. Zhang et al., Phys. Rev. C 80, 057301 (2009)] with higher precision. The standard deviation of the preformation factors calculated by our formula with extracted values for all 606 nuclei is 0.365 with a factor of 2.3, indicating that our improved formula can accurately reproduce the preformation factors. Encouraged by this, the -decay half-lives of actinide elements are predicted, which could be useful in future experiments. Notably, the predicted -decay half-lives of two new isotopes Np [Z. Y. Zhang, et al., Phys. Rev. Lett. 122, 192503 (2019)] and Np [H. B. Yang et al., Phys. Lett. B 777, 212 (2018)] are in good agreement with the experimental -decay half-lives.

“…These methods provide a very good description of the tunnelling of the -particle across the Coulomb barrier for heavy and super heavy nuclei. While it is difficult to describe -decay in a fully microscopic way, many works have considered microscopic modifications in the -decay calculations [39][40][41][42][43][44][45][46].…”

mentioning

confidence: 99%

Calculations of the α-decay properties of Z = 120, 122, 124, 126 isotopes *

Ge¹,

Zhang²,

Cheng³

et al. 2020

The α-decay properties of even-Z nuclei with Z = 120, 122, 124, 126 are predicted. We employ the generalized liquid drop model (GLDM), Royer's formula, and universal decay law (UDL) to calculate the -decay half-lives. By comparing the theoretical calculations with the experimental data of known nuclei from Fl to Og, we confirm that all the employed methods can reproduce the -decay half-lives well. The preformation factor and -decay energy show that 120, 122, and 124 might be stable. The -decay half-lives show a peak at Z = 120, N = 184, and the peak vanishes when Z = 122, 124, 126. Based on detailed analysis of the competition between -decay and spontaneous fission, we predict that nuclei nearby N = 184 undergo -decay. The decay modes of 120, 122, 124, and 126 are also presented.