New empirical formula for α-decay calculations

Akrawy, Dashty T.; Ahmed, Ali H.

doi:10.1142/s0218301318500684

Cited by 35 publications

(14 citation statements)

References 61 publications

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“…For the selection of α-decay half-lives formula, we have tested few recently fitted/modified empirical/semiempirical formulas [25,34,37,38,60,[89][90][91][92][93][94][95][96][97][98] and the comparison among these formulas is shown in Table 1. For the comparison, we use root mean square error (RMSE) and uncertainty (u), which are calculated by using the following formulas:…”

Section: α-Decaymentioning

confidence: 99%

History of Department of Neurology at S.M.S. Medical College, Jaipur

Jain

2020

Neurol India

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A comprehensive study of favoured and unfavoured α-decay, cluster decay, weak-decay along with spontaneous fission in undetected superheavy nuclei within the range for proton number 111≤Z≤118 and neutron number 161≤N≤192 is performed. Half-lives for various mentioned decays are estimated with good accuracy on the basis of NUBASE2020 and are found in excellent match with the known half-lives. α-decay mode is found most probable in this wide range and correspondingly potential α-decay chains are reckoned. Peculiarly, the chances of cluster emission, as well as weak-decay, are also anticipated in this region of the periodic chart which open new pathways of detection of superheavy nuclei.

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Section: α-Decaymentioning

confidence: 99%

History of Department of Neurology at S.M.S. Medical College, Jaipur

Jain

2020

Neurol India

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“…Numerous analytical and empirical formulas are suggested to predict the half-lives of these two decay modes [2,[50][51][52][53][54][55][56]. Many of these formulas undergo periodic modifications in various forms to fit the most recent experimental data.…”

Section: Introductionmentioning

confidence: 99%

An improved unified formula for $$\alpha $$-decay and cluster radioactivity of heavy and superheavy nuclei

et al. 2022

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Improved NRDX empirical formula for $$\alpha $$ α - and cluster decay half-lives is modified by adding the effects of angular momentum, isospin asymmetry and parity. The coefficients are determined using the latest experimental data for $$\alpha $$ α -decay half-lives of 573 nuclei and the available 22 cluster decay half-lives. The modified formulas produced the $$\alpha $$ α - and cluster decay half-lives and agree with calculations of other similar formulas. We used the new formulas to calculate the half-lives of cluster emissions of the SHN with $$Z=120$$ Z = 120 , 122, 124, and 126, which have not yet been experimentally synthesized.

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“…Various theoretical models such as density-dependent M3Y (DD-M3Y) effective interaction [10], the cluster decay model [11], the Coulomb and proximity potential model [12], the super-symmetric fission model [13,14], the generalized liquid drop model (GLDM) [15,16], the unified model for α-decay and alpha capture (UMADAC Method) [17,18], the coupled channel approach [19,20], and the universal curve for alpha and cluster radioactivity in a fission theory [21] have been used to express the α-decay process. In parallel to these models, many theoreticians presented empirical and semi-empirical formulae with the help of which experimentalists can find precise values of α-decay half-lives for the superheavy nuclei (SHN) [12,13,22,23]. In the present scenario, the superheavy nuclei are synthesized by using cold, and hot fusion reactions.…”

Section: Introductionmentioning

confidence: 99%

Exploring the ground state bulk and decay properties of the nuclei in superheavy island

Jain,

Kumar,

Bhuyan

2022

Preprint

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The α-decay half-lives of 204 superheavy nuclei covering the range 114 ≤ Z ≤ 126 have been investigated using the relativistic mean-field model (RMF) for NL3 * parameter set. The ground state bulk properties such as binding energy, quadrupole deformation parameter (β 2 ), and root-mean-square charge radii for these nuclei are analyzed. Four different semi-empirical formulae, namely, the universal decay law (UDL), the Viola-Seaborg (VSS) formula, the modified universal decay law (MUDL), and the modified Brown formula (MBrown), are used to obtain the α-decay half-lives for the considered nuclei. To examine the applicability of relativistic mean-field model within NL3 * parametrization, the α-decay energies, and the half-lives of a few known superheavy nuclei within the range 102 ≤ Z ≤ 118 are calculated and the results are compared with the experimental data along with the theoretical predictions. The α-decay energies (Q-values) are estimated from the binding energies of the parent, and daughter from the RMF (NL3 * ) parameter set. The calculated results are compared with macroscopic-microscopic Finite-Range-Droplet-Model (FRDM), Global Nuclear Mass Model (WS3, WS4), Weizsacker-Skyrme mass model (WS * ) predictions, and the experimental data, wherever available. The possible standard deviations are also estimated for experimental and various theoretical predictions. We find a good consistency for the experimental-to-UDL, FRDM-to-UDL, and WS4-to-UDL estimates of the decay energy and corresponding half-life. The present analysis provides the theoretical predictions within the microscopic model for the upcoming experiments on the superheavy region.

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New empirical formula for α-decay calculations

Cited by 35 publications

References 61 publications

History of Department of Neurology at S.M.S. Medical College, Jaipur

History of Department of Neurology at S.M.S. Medical College, Jaipur

An improved unified formula for $$\alpha $$-decay and cluster radioactivity of heavy and superheavy nuclei

Exploring the ground state bulk and decay properties of the nuclei in superheavy island

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