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

In this work we investigate cluster radioactivity (CR) of new superheavy elements with $Z=119$ and 120 based on two successful theoretical methods with modified parameters, the density-dependent cluster model (DDCM) and the unified decay formula (UDF). Firstly we employ the DDCM and UDF to accurately reproduce the experimental half-lives of cluster emissions, which demonstrates high reliability of our theoretical methods. Then we systematically predict probable cluster modes of $^{293-311}$119 and $^{293-302}$120 as well as their corresponding decay energies and half-lives. The half-lives of cluster decay derived from DDCM are consistent with those from UDF. As a result, our results reveal that the cluster emission of $^{8}$Be, emitted from the $Z=$119 and 120 isotopic chains, exhibits the minimum half-life for cluster emission, thereby $^{8}$Be emission is considered as the most probable cluster decay mode. Moreover, we explore the competition between $\alpha$ decay and CR and find that $\alpha$ decay may be the dominant decay mode against CR. Furthermore, a good linear relationship between the decay energy and the number of $\alpha$ particles within the emitted cluster is extended to range of superheavy nuclei (SHN). We anticipate that our theoretical predictions for CR will provide valuable references for the experimental synthesis of new SHN.

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: ±1mentioning

confidence: 99%

See 1 more Smart Citation

Theoretical predictions on cluster radioactivity of superheavy nuclei with Z = 119, 120*

Liu 刘,

Wang 王,

Zhang 张

et al. 2024

“…Moreover, with the development of α decay and cluster radioactivity exploration, intensive phenomenological semi-empirical relationships based on the above theoretical approaches and/or models, as generalizations of the striking law of half-lives in logarithmic form and the decay energy in the case of α decay proposed by Geiger and Nuttall [28,29], have been effectively applied to the investigation of cluster radioactivity [30][31][32][33][34] because they both share the quantum tunneling mechanism. For instance, in 2004, Ren et al extended the famous Viola-Seaborg formula from α decay [35,36] to complex cluster radioactivity (EVS) [37].…”

Section: Introductionmentioning

confidence: 99%

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

Zhang

Luo

et al. 2023

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.

“…In the latter, as a traditional α-decay approach, the cluster is assumed to be preformed in the parent nuclei with a certain probability before penetrating the potential barrier [22−24]. Based on the above theories, extensive theoretical models have been put forward to address this type radioactivity, such as the Coulomb and proximity potential model (CPPM) [25], preformed cluster model (PCM) [26,27], generalized liquid drop model (GLDM) [9], effective liquid drop model (ELDM) [28], modified unified fission model (MUFM) [29], density-dependent cluster model (DDCM) [30], and so on [31−36]. The calculated results using these models are essentially consistent with the experimental data.…”

Section: Introductionmentioning

confidence: 99%

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

Liu

Jiang

et al. 2023

Self Cite

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)].