An improved semi-empirical relationship for cluster radioactivity *

In the present work, derived from Balasubramaniam’s formula [Phys. Rev. C 70, 017301 (2004)], furtherconsidering the effects of parent nucleus mass, blocking effect and reduced mass on cluster radioactivity half-lives, we propose a new Geiger-Nuttall law which is model-independent for systematically evaluating the half-lives of this process for 10 even-even nucleiand 16 odd-A nuclei. For comparison, a single universal curve for cluster radioactivities and α decay proposed byD. N. Poenaru [Phys. Rev. C 83, 014601 (2011)], a scaling law proposed by M. Horoi [J. Phys. G: Nucl. Part.Phys. 30, 945 (2004)], an extension of Viola-Seaborg formula from α decay to cluster radioactivity proposed by Renet al. [Phys. Rev. C 70, 034304 (2004)], a new semi-empirical formula for exotic cluster decay proposed by M.Balasubramaniam et al. [Phys. Rev. C 70, 017301 (2004)] and a unified formula of half-lives for α decay and clusterradioactivity proposed by Ni et al. [Phys. Rev. C 78, 044310 (2008)] are also used. The calculated results of ournew Geiger-Nuttall law are in good agreement with the experimental half-lives with the least rms being 0.605 and arebetter than the compared ones. Moreover, we extend this formula to predict the cluster radioactivity half-livesof 51 nuclei whose decay energy are energetically allowed or observed but not yet quantified in NUBASE2020.

Section: C=1592;mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

New Geiger-Nuttall law for cluster radioactivity half-lives*

Zhang

Luo

et al. 2023

“…Meanwhile, the cluster preformation probability is key to calculating cluster radioactivity half-lives. In 1988, Blendowske and Walliser [58] found that is related to the α preformation probability via…”

Section: Q Cmentioning

confidence: 99%

Simple model for cluster radioactivity half-lives in trans-lead nuclei*

Zhu 朱,

Luo 骆,

Qi 亓

et al. 2023

In this study, considering the modified preformation probability to be , where and are the α-particle preformation probability and an adjustable parameter proposed by Wang et al. [Chin. Phys. C 45, 044111 (2021)], respectively, we extend a new simple model put forward by Bayrak [J. Phys. G 47, 025102 (2020)] to systematically study the cluster radioactivity half-lives of 28 trans-lead nuclei ranging from to , which is based on the Wentzel-Kramers-Brillouin approximation and Bohr–Sommerfeld quantization condition. For comparison, a universal decay law proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a three-parameter model-independent formula put forward by Balasubramaniam et al. [Phys. Rev. C 70, 017301 (2004)], and the semi-empirical model proposed by Tavares et al. [Eur. Phys. J. A 49, 1 (2013)] are used. Our calculated results reproduce the experimental data well, with a standard deviation of 0.818. Furthermore, we use this model to predict the cluster radioactivity half-lives of 51 possible cluster radioactive candidates whose cluster radioactivities are energetically allowed or observed but not yet quantified in NUBASE2020.

“…(PCM) [26], the modified generalized liquid drop model (MGLDM) [18,27], the Coulomb and proximity potential model (CPPM) [28], and the double-folding potential model [30]. In previous studies, the value, as a crucial input, is adopted from the measurements in the calculation of α-decay half-lives owing to its high sensitivity to the decay width.…”

Section: Introductionmentioning

confidence: 99%

α-decay properties of superheavy nuclei with 117 ≤ Z ≤ 120 from the systematics of decay chains and isotopic chains*

Wan 万,

Tang 唐,

Qian 钱

2024

Recently, the synthesis of new elements above Z = 118 has been a hot topic in nuclear physics, whereas the α-decay chain is expected to be the unique tool to identify these heaviest nuclei. We have systematically calculated the α-decay energies and half-lives on the same footing for superheavy nuclei (SHN), within the cluster model plus a slightly modified Woods-Saxon (W.S.) potential as the nuclear potential. On the basis of the available experimental data, the key radius parameter (R) in the α-core potential is determined via the systematic trend from the α-decay chains and the isotopic chains. The α-decay energy (Qα) values and half-lives are then obtained simultaneously for those unknown SHN in the range of 117 ⩽ Z ⩽ 120, during which the decay width is obtained by a new treatment on the asymptotic behavior of the α-core wave function. It is found that the agreement between the theoretical values and experimental data is excellent for the nuclei 293,294117 and 294118 no matter which method is concerned for the determination of R parameter. The prediction on the α-decay chains for new elements Z = 119 and Z = 120 can be useful for the ongoing or forthcoming experiments.