Correlation between alpha preformation probability, decay half-life and barrier assault frequency

Ismail, M.; Ellithi, A. Y.; El-Depsy, A.; Mohamedien, Osama A.

doi:10.1142/s0218301317500264

Cited by 5 publications

(6 citation statements)

References 21 publications

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“…where w  is a measure of the barrier width [26,29]. To evaluate X 2 , the Woods-Saxon formula is adopted for the nuclear potential [25][26][27][28],…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…In addition, many empirical formulas and theoretical approaches have been developed to reproduce the experimental data for both α and cluster decays [24][25][26][27][28][29][30][31][32][33][34]. In two previous studies [25,29], we managed to calculate α-decay half lives and preformation probabilities for 347 α emitters with a very good agreement with the experimental data. In this work, our calculations are extended to evaluate both α and cluster decay half-lives.…”

Section: Introductionmentioning

confidence: 98%

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Cluster decay half-lives and preformation probabilities

et al. 2020

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An improved semi-analytic approach to the barrier penetration probability is developed in the frame work of the Wentzel-Kramers-Brillouin (WKB) approximation. It is used to calculate decay half-lives and preformation probabilities for a set of 304 cluster emitters in the range 87 ≤ Z ≤ 96 and a set of 390 α-emitters in the range 52 ≤ Z ≤ 120. For cluster decay, the validity of our approach is tested against Coulomb and proximity potential model (CPPM) by comparing decay half-lives and barrier penetration probabilities. Our results are found to be in a good agreement with CPPM calculations and with the available experimental data. In case of α-decay, our calculations are tested against the experimental data and also a very good agreement is achieved. In both cases, results are also compared with calculations of some other well known universal decay laws that are used in many recent studies. Our approach shows a better agreement with experimental data than most of the other models. Our study is extended to calculate the assault frequency and preformation probability of the cluster inside the parent nucleus. A strong correlation is obtained for all these parameters with each other. Neutron shell closures are found to be more important in the cluster decay process than proton shell closure. It is also noted that the odd–even staggering behavior dominates the decay processes involving the emission of clusters with odd neutron number.

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“…where w  is a measure of the barrier width [26,29]. To evaluate X 2 , the Woods-Saxon formula is adopted for the nuclear potential [25][26][27][28],…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Cluster decay half-lives and preformation probabilities

et al. 2020

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“…For example, Ren et al [32] systematically calculated the halflife of cluster radioactivity using a microscopic density-dependent model (DDCM) with the renormalized M3Y nucleon-nucleon interaction, considering the dependence of the preformation probability of clusters on the number of charges. Subsequently, Ni et al [5] extended the generalized density-dependent cluster model (GDDCM) to study cluster radioactivity by numerically constructing the microscopic cluster-daughter potential [20−23]. For fission-like models, the cluster is considered to form during the adiabatic rearrangement process of the parent nucleus.…”

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

Chinese Phys. C

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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.

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“…In nature, radioactive nuclei translate their unstable states to stable states, based on the minimum energy principle, either by α, β and/or γ emissions, or emitting particles heavier than α particles [1][2][3] but lighter than the lightest fission fragments, generally known as cluster radioactivity [4][5][6][7][8][9][10]. This subtle process, intermediate between α decay and spontaneous fission, undoubtedly involves vital nuclear structure information such as ground state half-life time, nuclear spin and parity, deformations of nuclear structure, shell effects and so on [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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

Qi¹,

Zhang²,

Luo³

et al. 2023

Chinese Phys. C

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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.

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Correlation between alpha preformation probability, decay half-life and barrier assault frequency

Cited by 5 publications

References 21 publications

Cluster decay half-lives and preformation probabilities

Cluster decay half-lives and preformation probabilities

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

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

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