Systematic study of cluster radioactivity half-lives based on a modified Gamow-like model

Li, Hongming; Zou, Yanhua; Pan, Xiao; Li, Xiaohua; Wu, Xijun; He, Biao

doi:10.1088/1402-4896/ac3dbc

Cited by 15 publications

(9 citation statements)

References 68 publications

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“…Thus the cluster preformation probabilities can be estimated by the ratio between the empirical ν 0 (fitting ν 0 ) values and the calculated ν 0 values within equation (11). By taking 221 Ra ⟶ 207 Pb + 14 C and 231 Pa ⟶ 207 Tl + 24 Ne as examples, we obtain the 14 C and 24 Ne preformation probabilities, whose values are 7.88 × 10 −2 and 3.69 × 10 −4 , respectively.…”

Section: Combinationsmentioning

confidence: 99%

“…Generally, these models are divided into the following two categories. One is the fission-like model, which means the nucleus deforms continuously as it penetrates the nuclear barrier and reaches the scission configuration after running down the Coulomb barrier [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. The other one refers to the preformed cluster model.…”

Section: Introductionmentioning

confidence: 99%

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An improved effective liquid drop model for cluster radioactivity

Cui 崔,

Xing 邢,

Gao 高

et al. 2024

Commun. Theor. Phys.

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The eﬀective liquid drop model (ELDM) is improved by introducing an accurate nuclear charge radius formula and an analytic expression for assaulting frequency. Within the improved eﬀective liquid drop model (IMELDM), the experimental cluster radioactivity half-lives of the trans-lead region are calculated. It is shown that the accuracy of the IMELDM is improved evidently comparing with that of the ELDM. At last, the cluster radioactivity half-lives that are experimentally unavailable for the trans-lead nuclei are predicted by the IMELDM. These predictions may be useful for searching for the new candidates of cluster radioactivity in the future experiments.

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Section: Combinationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An improved effective liquid drop model for cluster radioactivity

Cui 崔,

Xing 邢,

Gao 高

et al. 2024

Commun. Theor. Phys.

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“…The cluster moves back and forth inside the parent nucleus with a certain speed before penetrating the barrier. For the purpose of evaluating assaults per unit time for the ground state, ν is presented as [48,49]…”

Section: V(r)mentioning

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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“…One of its components, ν, is the assault frequency, which represents the number of assaults on the barrier per unit time. It can be calculated via [54,55]…”

Section: A Half-lives Of Cluster Radioactivitymentioning

confidence: 99%

Systematic calculations of cluster radioactivity half-lives with a screened electrostatic barrier*

Liu

Jiang

et al. 2023

Chinese Phys. C

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In the present work, based on Wentzel-Kramers-Brillouin theory, we systematically study the clusterradioactivity half-lives of 22 nuclei ranging from 221Fr to 242Cm by using a phenomenological model, which considersthe screened electrostatic effect of Coulomb potential. In this model, there are two adjustable parameters i.e. theparameter t and g, which are related to the screened electrostatic barrier and the strength of spectroscopic factor,respectively. The calculated results indicate this model can well reproduce the experimental data while the corre sponding root-mean-square (rms) deviation is 0.660. In addition, we extend this model to predict the half-lives ofpossible cluster radioactive candidates whose cluster radioactivity are energetically allowed or observed but notyet quantified in the evaluated nuclear properties table NUBASE2020. The predicted results are consistent withthe ones obtained by using other theoretical models and/or empirical formulae including the 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 et al. [J. Phys. G 35, 085102 (2008)] and a unified formula of half-lives for αdecay and cluster radioactivity proposed by Ni et al. [Phys. Rev. C 78, 044310 (2008)].

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Systematic study of cluster radioactivity half-lives based on a modified Gamow-like model

Cited by 15 publications

References 68 publications

An improved effective liquid drop model for cluster radioactivity

An improved effective liquid drop model for cluster radioactivity

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

Systematic calculations of cluster radioactivity half-lives with a screened electrostatic barrier*

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