Alpha-cluster preformation factors in alpha decay for even–even heavy nuclei using the cluster-formation model

Ahmed, Saad M. Saleh; Yahaya, Redzuwan; Radiman, Shahidan; Yasir, Muhamad Samudi

doi:10.1088/0954-3899/40/6/065105

Cited by 57 publications

(13 citation statements)

References 68 publications

(138 reference statements)

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“…These caying nuclei in region (ii) are closer to the doubly-magic nuclei, implying that the large quartetting effect is present in emitters near the shell closure. This point is consistent with other studies [32,33], and the quartetting effect is supposed to diminish greatly due to the Pauli principle when more valence nucleons are added. Last but not least, we would like to discuss the consistency of the present conjecture about with other theoretical studies.…”

Section: New Perspective From the Geiger-nuttall Plot And Origin Of T...supporting

confidence: 93%

“…namely , as suggested in Ref. [33]. This figure shows that the involved coefficients in the systematics vary more evidently with the quartet numbers in region (ii) as compared to those in region (i).…”

Section: New Perspective From the Geiger-nuttall Plot And Origin Of T...supporting

confidence: 69%

“…This is the deep reason why the Geiger-Nuttal law can be successfully explained in terms of the quantum tunneling phenomenon while excluding the contribution of the preformation process. Let us mention here that the fournucleon correlations (quartetting) may play an important role in the collective dynamics of clustering [31][32][33]. Considering this, we plot the coefficients and in Eq.…”

Section: New Perspective From the Geiger-nuttall Plot And Origin Of T...mentioning

confidence: 99%

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New look at Geiger-Nuttall law and α clustering of heavy nuclei *

Qian

Ren

2021

Chinese Phys. C

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The Geiger-Nuttall (GN) law of α decay is commonly explained in terms of the quantum tunneling phenomenon. In this study, we show that such an explanation is actually not enough regarding the α particle clustering. Such a conclusion is drawn after exploring the involved coefficients of the GN law based on the conventional description of α decay, namely the formation of an α cluster and its subsequent penetration. The specific roles of the two former processes, in the GN law, manifest themselves via the systematical analysis of the calculated and experimental α decay half-lives versus the decay energies across the and shell closures. The α-cluster preformation probability is then found to behave in a GN-like pattern. This previously ignored point is explicitly demonstrated as the product of an interplay between the mean-field and pairing effect, which in turn reveals the structural influence on the formation of the α cluster in a simple and clear manner. In addition to providing an effective method to evaluate the amount of surface α clustering in heavy nuclei, the present conjecture supports other theoretical treatments of the α preformation probability.

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Section: New Perspective From the Geiger-nuttall Plot And Origin Of T...supporting

confidence: 93%

Section: New Perspective From the Geiger-nuttall Plot And Origin Of T...supporting

confidence: 69%

Section: New Perspective From the Geiger-nuttall Plot And Origin Of T...mentioning

confidence: 99%

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New look at Geiger-Nuttall law and α clustering of heavy nuclei *

Qian

Ren

2021

Chinese Phys. C

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“…And the determination of the exact value of the preformation factor is an indispensable problem for improving the accuracy of theoretical calculations [14,15,19,20]. On the other hand, this preformation factor, which represents the probability of the existence of α clusters in the parent nucleus before the emission, is considered to carry most of the valuable information about nuclear structure, especially about the dynamic states of nucleons around the nuclear surface [21]. It was revealed in some recent studies that the behavior of the preformation factor is associated with the nuclear deformation and level sequences, and can be used to predict the nuclear spin [22,23].…”

Section: Introductionmentioning

confidence: 99%

Realisticαpreformation factors of odd-Aand odd-odd nuclei within the cluster-formation model

Deng

Ren

et al. 2015

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

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The recently proposed cluster-formation model (CFM) (Ahmed et al 2013 J. Phys. G: Nucl. Part. Phys. 40 065105) is extended to calculate the α preformation factors of odd-A and odd-odd nuclei. The extraction process of the formation energy of a preformed α cluster is analyzed in detail, which is crucial for determining the realistic α preformation factor in CFM. With an adaptive modification in the formation energy, we investigate the α preformation factors of odd-A and odd-odd heavy nuclei, and our results show a good agreement with both theoretical prospects and experimental extracted values. This work confirms the validity of the CFM in α preformation factor calculation and can be a useful reference for microscopic calculation in the future.

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“…Calculations of -particle preformation factor, decay half-lives, and the proton-neutron correlation energy and two protons-two neutrons correlation energy of even-even Te, Xe, and Ba isotopes near Sn. Calculated by using nuclear mass data in the WS4+ mass model[76].b Calculated using nuclear mass data in the evaluated atomic mass table AME2016[58,59].…”

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confidence: 99%

New behaviors of α-particle preformation factors near doubly magic ¹⁰⁰Sn *

Deng¹,

Zhang²,

Sun³

2022

Chinese Phys. C

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The $\mathcal{\alpha}$-particle preformation factors of nuclei above doubly magic nuclei $^{100}$Sn and $^{208}$Pb are investigated within the generalized liquid drop model. The results show that the $\mathcal{\alpha}$-particle preformation factors of nuclei near self-conjugate doubly magic $^{100}$Sn are larger significantly than those of analogous nuclei just above $^{208}$Pb, and they will be enhanced as the nuclei move towards the $N=Z$ line. The correlation energy of the proton-neutron $E_{p-n}$ and two protons-two neutrons $E_{2p-2n}$ of nuclei near $^{100}$Sn also exhibit similar situations indicating that the interactions between protons and neutrons occupying similar single-particle orbitals could enhance the $\mathcal{\alpha}$-particle preformation factors and result in the superallowed $\mathcal{\alpha}$ decay. It also provides evidence of the significant role of proton-neutron interaction on $\mathcal{\alpha}$-particle preformation. Besides, the linear relationship between $\mathcal{\alpha}$-particle preformation factors and the product of valence protons and valence neutrons for nuclei around $^{208}$Pb is broken in the $^{100}$Sn region because the $\mathcal{\alpha}$-particle preformation factor is enhanced when the nucleus near $^{100}$Sn moves towards the $N=Z$ line. Furthermore, the calculated $\mathcal{\alpha}$ decay half-lives can well reproduce the experimental data including the recent observed self-conjugate nuclei $^{104}$Te and $^{108}$Xe [\href{https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.182501}{Phys. Rev. Lett. 121, 182501 (2018)}].

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Alpha-cluster preformation factors in alpha decay for even–even heavy nuclei using the cluster-formation model

Abstract: There is an error in table 1 on pages 16-18. The eighth column, 'Equation ( 26)/E αd ' should be set under the heading 'P α ', not 'E α (keV)'.

Cited by 57 publications

References 68 publications

New look at Geiger-Nuttall law and α clustering of heavy nuclei *

New look at Geiger-Nuttall law and α clustering of heavy nuclei *

Realisticαpreformation factors of odd-Aand odd-odd nuclei within the cluster-formation model

New behaviors of α-particle preformation factors near doubly magic ¹⁰⁰Sn *

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Alpha-cluster preformation factors in alpha decay for even–even heavy nuclei using the cluster-formation model

Abstract: There is an error in table 1 on pages 16-18. The eighth column, 'Equation ( 26)/E αd ' should be set under the heading 'P α ', not 'E α (keV)'.

Cited by 57 publications

References 68 publications

New look at Geiger-Nuttall law and α clustering of heavy nuclei *

New look at Geiger-Nuttall law and α clustering of heavy nuclei *

Realisticαpreformation factors of odd-Aand odd-odd nuclei within the cluster-formation model

New behaviors of α-particle preformation factors near doubly magic 100Sn *

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New behaviors of α-particle preformation factors near doubly magic ¹⁰⁰Sn *