Uncertainties in the empirical formulae for alpha decay half-lives of heavy and superheavy nuclei

Manjunatha, H. C.; Seenappa, L.; Sridhar, K.N.

doi:10.1140/epjp/i2019-12838-0

Cited by 26 publications

(20 citation statements)

References 21 publications

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“…We have used various empirical/semi-empirical formulas of α-decay to identify the best possible formula for the prediction of decay-modes, particularly for the range 101≤Z≤110. The formulas used in this article are Viola and Seaborg (VSS) [78], Brown [79], Royer [80], Sobiczewski [81], universal decay law (UDL) introduced by Qi et al [82], modified Royer formula given by Akrawy et al [83], modified UDL formula [84], MSLB formula [85], modified Viola-Seaborg formula [85] and Manjunatha present formula [86]. With the use of these formulas, we have calculated α-decay half-lives using our calculated values of Q α and compared the half-lives with available experimental data [53].…”

Section: α-Decay Chainsmentioning

confidence: 99%

“…In the present work, for a more accurate prediction of α-decay chains, the formula of Manjunatha et al [86] is modified by introducing asymmetry dependent terms (I and I 2 ) which are linearly related to the logarithm of α-decay half-lives [85]. After introducing these terms the formula is further fitted using experimental half-lives of 366 nuclei in the range 82≤Z≤117 and the coefficients [80] 3.…”

Section: α-Decay Chainsmentioning

confidence: 99%

“…After introducing these terms the formula is further fitted using experimental half-lives of 366 nuclei in the range 82≤Z≤117 and the coefficients [80] 3. 38 Sobiczewski 2005 [81] 3.44 UDL 2009 [82] 3.09 Akrawy 2017 [83] 3.41 MUDL 2019 [84] 4.07 MSLB 2019 [85] 3.21 MVS 2019 [85] 3.82 Manjunatha 2019 [86] 2.14 Modified Manjunatha formula (MMF)-2020 (in this work)…”

Section: α-Decay Chainsmentioning

confidence: 99%

“…Another significant point is the sensitivity of half life on values of Qα. The Manjunatha formula [86] has been proved to be reasonably less sensitive comparative to various other empirical formula by calculating the change of alpha decay half-life (in s) by changing Qα-value. To check the sensitivity of modified Manjunatha formula (MMF−2020), we have also calculated ROC (rate of change) of half-life with respect to Qα-value using the following equation:…”

Section: α-Decay Chainsmentioning

confidence: 99%

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Structural properties and α-decay chains of transfermium nuclei (101≤Z≤110)

Singh

Sharma

Sharma³

et al. 2021

Nuclear Physics A

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Transfermium nuclei (101≤Z≤110) are investigated thoroughly to describe structural properties viz. deformation, radii, shapes, magicity, etc. as well as their probable decay chains. These properties are explored using relativistic mean-field (RMF) approach and compared with other theories along with available experimental data. Neutron numbers N=152 and 162 have come forth with a deformed shell gap whereas N=184 is ensured as a spherical magic number. The region with N>168 bears witness of the phenomenon of shape transition and shape coexistence for all the considered isotopic chains. Experimental α-decay half-lives are compared with our theoretical halflives obtained by using various empirical/semi-empirical formulas. The recent formula proposed by Manjunatha et al., which results best among the considered 10 formulas, is further modified by adding asymmetry dependent terms (I and I 2). This modified Manjunatha formula is utilized to predict probable α-decay chains that are found in excellent agreement with available experimental data.

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Section: α-Decay Chainsmentioning

confidence: 99%

Section: α-Decay Chainsmentioning

confidence: 99%

Section: α-Decay Chainsmentioning

confidence: 99%

Section: α-Decay Chainsmentioning

confidence: 99%

See 2 more Smart Citations

Structural properties and α-decay chains of transfermium nuclei (101≤Z≤110)

Singh

Sharma

Sharma³

et al. 2021

Nuclear Physics A

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“…Theoretically, one way to determine the α-decay half-life is based upon empirical/semiempirical formulas [20][21][22][23][24][25][26][27][28][29][30]: dependent mainly on α-decay energy (Qvalue). Many of these formulas are modified time to time in variety of forms [31][32][33][34][35][36][37][38][39][40] to match with latest experimental fits along with our very recent works [41,42].…”

Section: Introductionmentioning

confidence: 99%

A new empirical formula for α-decay half-life and decay chains of Z=120 isotopes

Saxena,

Jain,

Sharma

2021

Preprint

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Experimental α-decay half-life, spin, and parity of 398 nuclei in the range 50≤Z≤118 are utilized to propose a new formula (QF) with only 4 coefficients as well as to modify the Tagepera-Nurmia formula with just 3 coefficients (MTNF) by employing nonlinear regressions. These formulas, based on reduced mass (µ) and angular momentum taken away by the α-particle, are ascertained very effective for both favoured and unfavoured α-decay in addition to their excellent match with all (Z, N) combinations of experimental α-decay half-lives. After comparing with similar other empirical formulas of α-decay half-life, QF and MTNF formulas are purported with accuracy, minimum uncertainty and deviation, dependency on least number of fitted coefficients together with less sensitivity to the uncertainties of Q-values. The QF formula is applied to predict α-decay half-lives for 724 favoured and 635 unfavoured transitions having experimentally known Q-values. Moreover, these available Q-values are also employed to test various theoretical approaches viz. RMF, FRDM, WS4, RCHB, etc. along with machine learning method XGBoost for determining theoretical Q-values, incisively. Thereafter, using Q-values from the most precise theoretical treatment mentioned above along with the proposed formulas, probable α-decay chains for Z=120 isotopes are identified.

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