Systematic Analysis for Neck-Length and Q-Values on Cluster Decay from Ba Isotopes

Majekodunmi, Joshua T.; Rana, Shilpa; Jain, Nishu; Bhuyan, M.; Anwar, Khairul; Abdullah, Nooraihan; Kumar, Raj

doi:10.1149/10701.2893ecst

Cited by 4 publications

(8 citation statements)

References 29 publications

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“…Elaborate details about the range of proximity of ∆R can be found in Refs. [34,35] and the references therein. Other decay properties such as the barrier lowering (∆V B ), driving potential V(R a )-Q, penetrability (P) and decay constant (λ) are analysed for each reaction system in the first decay chain ( 243 Fm → 239 Cf → 235 Cm) and the second decay chain ( 245 Fm → 241 Cf → 237 Cm) are displayed in Table 1.…”

Section: Resultsmentioning

confidence: 99%

Theoretical Investigation of α-decay Chains of Fm-isotopes

Majekodunmi

Rana

Jain

et al. 2022

J. Nucl. Phy. Mat. Sci. Rad. A.

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Background: The theoretical and experimental investigations of decay properties of heavy and superheavy nuclei are crucial to explore the nuclear structure and reaction dynamics. Purpose: The aim of this study is to probe the α-decay properties of 243Fm and 245Fm isotopic chains using relativistic mean-field (RMF) approach within the framework of preformed cluster-decay model (PCM). Methods: The RMF densities are folded with the relativistic R3Y NN potential to deduce the nuclear interaction potential between the α particle and daughter nucleus. The penetration probability is calculated within the WKB approximation. Results: The α-decay half-lives of even-odd 243Fm and 245Fm isotopes and their daughter nuclei are obtained from the preformed cluster-decay model. These theoretically calculated half-lives are found to be in good agreement with the recent experimental measurements. Conclusions: The novel result here is the applicability of the scaling factor within the PCM as a signature for shell/sub-shell closures in α-decay studies. As such, we have also demonstrated that N=137, 139 and Z=94 corresponding to 231,233Pu could be shell/sub-shell closures. The least T1/2 is found at 243,245Fm which indicate their individual stability and α-decay as their most probable decay mode.

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Section: Resultsmentioning

confidence: 99%

Theoretical Investigation of α-decay Chains of Fm-isotopes

Majekodunmi

Rana

Jain

et al. 2022

J. Nucl. Phy. Mat. Sci. Rad. A.

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“…However, this ΔR value is not energetically favorable in the case of R3Y, owing to its unique barrier charactertistics (see Refs. [55][56][57] for details on the predictability range of both R3Y and M3Y interactions). Despite the change in ΔR, a regular pattern is maintained in the driving potential profile for both interactions.…”

Section: A Barrier Characteristics From M3y and R3y Nn-potentialsmentioning

confidence: 99%

Preformation probability and kinematics of cluster emission yielding Pb-daughters*

Majek¹,

Bhuyan

Anwar

et al. 2023

Chinese Phys. C

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In the present study, the newly established preformation formula is applied for the first time to study the kinematics of the cluster emission from various radioactive nuclei, especially those that decay to the double shell closure $^{208}$ the Pb nucleus and its neighbors as daughters. The recently proposed universal cluster preformation formula has been established based on the concepts that underscores the influence of the mass and charge asymmetry ($\eta_A$ and $\eta_Z$), cluster mass $A_c$ and the Q-value, paves the way to quantify the energy contribution during the preformation as well as the tunnelling process separately. The cluster-daughter interaction potential is obtained by folding the relativistic mean-field (RMF) densities with the recently developed microscopic R3Y using the NL$3^*$ and the phenomenological M3Y NN potentials to compare their adaptability. The penetration probabilities are calculated from the WKB approximation. With the inclusion of the new preformation probability $P_0$, the predicted half-lives of the R3Y and M3Y interactions are in good agreement with the experimental data. Furthermore, a careful inspection reflects slight differences in the decay half-lives, which arise from their respective barrier properties. The $P_0$ for systems with double magic shell closure $^{208}$Pb daughter are found to be relatively higher by an order of $\approx 10^2$ than those with neighbouring Pb daughter nuclei. By exploring the contributions of the decay energy, the recoil effect of the daughter nucleus is appraised, unlike several other conjectures. Thus, the centrality of the $Q-$value in the decay process is demonstrated and redefined within the preformed cluster-decay model. Besides, we have introduced a simple and intuitive set of criteria that governs the estimation of recoil energy in the cluster radioactivity.

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“…[30] with χ 2 deviation of 0.1561. This allows for the situation where different clusters are being emitted from the same parent nucleus and it is possible to inspect the structural information of the emitted clusters, as well as their respective daughter nucleus [32,33]. On the other hand, the decay energy is omitted here, which compromises the physics of the cluster emission process, since exothermicity, Q > 0, cannot be undermined in any decay process.…”

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confidence: 99%

“…The nuclear potential is generally estimated by phenomenological [36,37] or microscopic approaches [38,39], and is the most important ingredient in cluster radioactivity studies. In this study, the recently developed R3Y nucleon-nucleon (NN) potential [33,40] which is derived from the relativistic mean-field (RMF) Lagrangian using the NL3 * parameter set [41] is used for the analysis. The results are also compared with its cognate phenomenological M3Y NN potential [42].…”

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confidence: 99%

“…Besides the P 0 , another input for the PCM is the barrier penetration probability P which is calculated by employing the WKB approximation. The neck length parameter of the PCM is fixed at ΔR = 0.5 fm for M3Y and ΔR = 1.0 fm for R3Y which is suitable for cluster decays in terms of their respective barrier properties [33,44,45]. In this work, the decay half-lives of 14 C, 20 O, 23 F, 22 Ne, 24 Ne, 26 Ne, 28 Ne, 30 Mg and 34 Si clusters decaying from various heavy nuclei with the mass of the parent nuclei lying within the range 221 ≤ A ≤ 242 are considered.…”

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Quest for a universal cluster preformation formula: A new paradigm for estimating the cluster formation energy

Majekodunmi

Kumar

Bhuyan

2023

EPL

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This study presents a holistic picture of the preformation of nuclear clusters with credence to the kinematics of their emissions. Besides the fitting of the preformation formula to reproduce the experimental half-lives, we have investigated the interrelationship between the parameters involved in the cluster decay process for medium, heavy and superheavy nuclei. Based on the established conceptual findings, we propose a new cluster preformation probability ($P_0$) formula that incorporates all influential parameters of the cluster radioactivity and thus has an edge over the existing formulae in the literature. Further, we hypothesize that a fraction of the decay energy is needed for cluster formation within the parent nucleus. The proposed formula opens a new paradigm to separately estimate the energy contributed during the cluster formation from its emission and thus shows that the contribution of the Q-value splits into three major parts accounting for the energy contributed during the cluster preformation, its emission and recoil of the daughter nucleus. Moreover, the expression $P_0$ is adept at accommodating the theorized concept of heavy particle radioactivity (HPR). The result reveals that, like $\alpha$-decay, a proper estimation of the $P_0$ and $Q$-value in the cluster studies are enriched with qualitative information about the nuclear structure. However, from the analysis, the Geiger-Nuttall law is not the best compromise in the clustering due to the non-linearity between $\log_{10}T_{1/2}$ and $\sqrt{Q}$, unlike in $\alpha$-decay. We have demonstrated that with the inclusion of the proposed formula, the half-life predictions from both microscopic R3Y and phenomenological M3Y NN potentials closely agree with the available experimental data and that the slight variation can be traced to their peculiar barrier characteristics.

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Systematic Analysis for Neck-Length and Q-Values on Cluster Decay from Ba Isotopes

Cited by 4 publications

References 29 publications

Theoretical Investigation of α-decay Chains of Fm-isotopes

Theoretical Investigation of α-decay Chains of Fm-isotopes

Preformation probability and kinematics of cluster emission yielding Pb-daughters*

Quest for a universal cluster preformation formula: A new paradigm for estimating the cluster formation energy

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