Half-lives of α-decay from nuclei with Z = 92 − 118 using the double folding model with relativistic NN interactions

Yahya, W. A.; Olusola, I.D.; Saeed, Atrooba; Azeez, O.K.

doi:10.1016/j.nuclphysa.2021.122360

Cited by 6 publications

(2 citation statements)

References 36 publications

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“…The best fitting results were obtained in [5] by setting P α = 1. In this study, the preformation factor P α has been calculated via [46][47][48]:…”

Section: Modified Gamow-like Model (Mglm)mentioning

confidence: 99%

Predictions of the alpha-decay half-lives of even–even superheavy nuclei using modified Gamow-like model

Azeez¹,

Yahya²,

Saeed³

2022

Phys. Scr.

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α-decay half-lives of superheavy nuclei have been studied using modified Gamow-like model and improved empirical formulas. The empirical formulas used in the study are Viola-Seaborg semi-empirical formula, universal decay law (UDL), Denisov-Khudenko formula (DK), Royer formula, Wang formula, AKRE formula, and new Ren B (NRB) formula. New values of the adjustable parameters in the modified Gamow-like model have been obtained using a least square fit scheme and input data from the NUBASE2020 database. We found that only two adjustable parameters are sufficient to describe the α-decay half-lives of heavy and superheavy nuclei. We also obtained new coefficients for the seven empirical formulas using similar procedure. The modified Gamow-like model (MGLM) and improved empirical formulas are then used to calculate the α-decay half-lives of measured superheavy nuclei with Z = 100 − 118. The calculated root mean square errors indicate that the Royer, DK, and AKRE formulas are the best three empirical formulas for evaluating the α-decay half-lives of the superheavy nuclei. The five best performing empirical formulas, together with the MGLM, are then used to predict alpha-decay half-lives of unmeasured even-even superheavy nuclei with Z = 120 − 126. The Q α values used for the predictions have been taken from the tabulated Weizsäcker-Skyrme-4+RBF (WS4+RBF) Qα values. The theoretical calculations suggest that N = 184 is a possible magic number, which is in agreement with previous theoretical calculations.

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“…The best fitting results were obtained in [5] by setting P α = 1. In this study, the preformation factor P α has been calculated via [46][47][48]:…”

Section: Modified Gamow-like Model (Mglm)mentioning

confidence: 99%

Predictions of the alpha-decay half-lives of even–even superheavy nuclei using modified Gamow-like model

Azeez¹,

Yahya²,

Saeed³

2022

Phys. Scr.

Self Cite

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“…A vivid example of two systems with the same Q-value is given in ref. [31] where 247 100 Fm (at angular momentum = 0) and 241 99 Es ( = 1.0) have a Q-value of 8.26 MeV.…”

mentioning

confidence: 99%

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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Alpha Decay Half-lives of Heavy and Superheavy Nuclei within a Deformed Double Folding Model

Yahya,

Oluwadare,

Falaye

2024

Int J Theor Phys

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Half-lives of α-decay from nuclei with Z = 92 − 118 using the double folding model with relativistic NN interactions

Cited by 6 publications

References 36 publications

Predictions of the alpha-decay half-lives of even–even superheavy nuclei using modified Gamow-like model

Predictions of the alpha-decay half-lives of even–even superheavy nuclei using modified Gamow-like model

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

Alpha Decay Half-lives of Heavy and Superheavy Nuclei within a Deformed Double Folding Model

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Half-lives of α-decay from nuclei with Z = 92 − 118 using the double folding model with relativistic NN interactions

Cited by 6 publications

References 36 publications

Predictions of the alpha-decay half-lives of even–even superheavy nuclei using modified Gamow-like model

Predictions of the alpha-decay half-lives of even–even superheavy nuclei using modified Gamow-like model

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

Alpha Decay Half-lives of Heavy and Superheavy Nuclei within a Deformed Double Folding Model

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Product

Resources

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Half-lives of α-decay from nuclei with Z = 92 − 118 using the double folding model with relativistic NN interactions