Empirical formula for heavy cluster decay in the superheavy region

Prathapan, K.; Biju, R.K.

doi:10.1142/s0218301321501068

Cited by 8 publications

(3 citation statements)

References 61 publications

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“…The study of cluster radioactivity (CR) has received much attention in recent years [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. CR is the spontaneous emission of fragments heavier than the α particle and relatively lighter than the binary fission products.…”

Section: Introductionmentioning

confidence: 99%

Cluster radioactivity around shell closures: correlation of half-lives with the energy levels of daughter nuclei

Ismail¹,

Adel²

2022

J. Phys. G: Nucl. Part. Phys.

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The emission of Be, C, O, and Ne clusters from seven parent nuclei with neutron numbers around the neutron magicities N = 82, and 126 are considered. The universal decay law (UDL) formula, as well as the double-folding model derived from M3Y-Paris NN interaction with zero- and ﬁnite-range exchange components, are utilized to compute the half-life time for 23 cluster decay processes. The calculations utilizing the UDL formula show satisfactory agreement with the experimental data. The reliable UDL formula is used to calculate log Tcfor more than 1500 cluster emitters and its variation with the neutron number, Nd, of the daughter nuclei is presented. The behavior of log Tc with neutron number variation is studied and correlated to the energy levels of the daughter nuclei. For neutron number Nd larger than the neutron magic number, log Tc increases almost linearly with increasing Ndleaving the daughter nuclei in most cases with the same nuclear spin value. This linear behavior of log Tc results from equal nuclear spin values of the daughter nuclei. At the magic neutron number, the nuclear spin changes strongly and as a result the behavior of log Tc is reversed, increases as Nd decreases and reaches to a maximum value at Nd value corresponds to emitting all the neutrons in the cluster from levels below the neutron magic number gap. Leaving the daughter nuclei in the same spin produces almost linear variation of log Tc. For protons in various clusters emitted from the same level or the same group of levels, log Tc has almost the same value and the same behavior of variation with Nd. Also, the values of log Tc for speciﬁc type of cluster depend on the N to Z ratio for diﬀerent isotopes of this cluster. From the available nuclear spin values, the neutron energy levels around the magic numbers are presented.

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Section: Introductionmentioning

confidence: 99%

Cluster radioactivity around shell closures: correlation of half-lives with the energy levels of daughter nuclei

Ismail¹,

Adel²

2022

J. Phys. G: Nucl. Part. Phys.

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“…The experimental cluster radioactivity half-lives in logarithmic form extracted from Ref. [31], Ref. [44], and Ref.…”

Section: Resultsmentioning

confidence: 99%

“…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

Chinese Phys. C

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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.

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