Prediction of stable superheavy nuclei
Pith reviewed 2026-05-25 10:01 UTC · model grok-4.3
The pith
Calculations identify twelve superheavy nuclei with long lifetimes as evidence for the island of stability.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
By studying the decay properties such as alpha decay, cluster decay and spontaneous fission, nine stable nuclei in the island of stability which can be detected through fission are identified: 318123(10.5 ms), 319123(4.68 μs), 317124(1.74×10^4 y), 318124(2.70×10^1 y), 319124(2.83×10^{-2} y), 320124(1.91×10^{-5} y), 319125(2.46×10^9 y), 320125(3.81×10^6 y) and 321125(3.99×10^3 y). Three stable superheavy nuclei which can be detected through alpha decay are 318125(1.03×10^{12} y), 319126(5.77×10^{11} y) and 320126(3.99×10^{10} y). These nuclei will become most stable nuclei if they are synthesized in the laboratory. The identified twelve stable nuclei is the evidence for the hypothesis of the岛
What carries the argument
Half-life calculations for alpha decay, cluster decay and spontaneous fission applied to nuclei with Z near 123-126.
If this is right
- The listed nuclei become the primary targets for synthesis experiments seeking long-lived superheavy elements.
- If produced, the nine fission-stable nuclei would be observable on millisecond to year timescales via fission products.
- The three alpha-stable nuclei would persist for billions of years and could be studied by alpha spectroscopy.
- The set of twelve nuclei supplies concrete support for the existence of an island of stability centered near Z=124-126.
Where Pith is reading between the lines
- These half-life predictions could be used to prioritize beam energies and target choices in heavy-ion fusion reactions.
- Agreement or disagreement with measured lifetimes would constrain the parameters of nuclear mass and barrier models in the superheavy region.
- Extension of the same decay-rate approach to Z>126 might reveal whether additional islands of stability appear at still higher proton numbers.
Load-bearing premise
The formulas used to compute decay rates stay accurate when applied to nuclei with atomic numbers 123-126.
What would settle it
Laboratory synthesis of 318124 or 319125 followed by direct measurement of its half-life to test whether the observed lifetime matches the calculated value.
read the original abstract
We have investigated most stable superheavy nuclei by studying the decay properties such as alpha decay, cluster decay and spontaneous fission. We have investigated nine stable nuclei in the island of stability which can be detected through fission are 318123(10.5ms), 319123(4.68{\mu}s), 317124(1.74x104 y), 318124(2.70x101 y), 319124(2.83x10-2 y), 320124(1.91x10-5 y), 319125(2.46x109 y), 320125(3.81x106 y) and 321125(3.99x103 y). Present work also investigates three stable superheavy nuclei which can be detected through alpha decay which are 318125(1.03x1012 y), 319126(5.77x1011 y) and 320126(3.99x1010 y). These nuclei will become most stable nuclei if they synthesized in the laboratory. The identified twelve stable nuclei is the evidence for the hypothesis of island of stability
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript calculates half-lives for alpha, cluster, and spontaneous-fission decay channels in the Z=123–126 region and identifies twelve nuclei (nine via fission: 318123, 319123, 317124, 318124, 319124, 320124, 319125, 320125, 321125; three via alpha: 318125, 319126, 320126) as sufficiently long-lived to constitute stable members of an island of stability, presenting the list as direct evidence for the hypothesis.
Significance. If the extrapolated lifetimes prove quantitatively reliable, the work would supply concrete targets for synthesis experiments and strengthen the theoretical case for an island of stability; the explicit numerical predictions constitute a falsifiable output that could be tested once the nuclei are produced.
major comments (3)
- [Abstract] Abstract: the half-lives (e.g., 10.5 ms for 318123, 2.46×10^9 y for 319125) are obtained from decay-rate formulas whose parameters are fixed on lighter nuclei; no section demonstrates that these formulas remain accurate when both Z and the fission barrier are extrapolated to the unmeasured domain Z≈123–126.
- [Abstract] Abstract: the central claim that the twelve nuclei constitute “evidence for the hypothesis of island of stability” rests on the quantitative accuracy of the extrapolated lifetimes, yet the manuscript supplies neither comparisons to measured half-lives of known superheavy nuclei (Z=114–118) nor uncertainty estimates on the predicted values.
- [Abstract] Abstract: the classification of nuclei as “stable” and “detectable through fission” or “alpha decay” is load-bearing for the result, but the text does not specify which semi-empirical or microscopic formulas are employed or whether additional parameters are introduced for the superheavy region.
minor comments (2)
- [Abstract] Abstract: numerical formatting is inconsistent (1.74x104 y, 2.70x101 y) and should be standardized to scientific notation.
- [Abstract] Abstract: the phrase “most stable superheavy nuclei” is repeated without a clear definition of the stability criterion (e.g., half-life threshold).
Simulated Author's Rebuttal
We thank the referee for the careful reading and valuable comments on our manuscript. We address each of the major comments below and indicate the revisions we will make.
read point-by-point responses
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Referee: [Abstract] Abstract: the half-lives (e.g., 10.5 ms for 318123, 2.46×10^9 y for 319125) are obtained from decay-rate formulas whose parameters are fixed on lighter nuclei; no section demonstrates that these formulas remain accurate when both Z and the fission barrier are extrapolated to the unmeasured domain Z≈123–126.
Authors: The decay formulas used are standard in the field and have been previously applied to superheavy nuclei in the literature. However, we agree that an explicit demonstration of their accuracy in the extrapolated region is lacking in the current manuscript. In the revised version, we will add a dedicated paragraph discussing the extrapolation and referencing prior works that have used these formulas for Z > 120. revision: yes
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Referee: [Abstract] Abstract: the central claim that the twelve nuclei constitute “evidence for the hypothesis of island of stability” rests on the quantitative accuracy of the extrapolated lifetimes, yet the manuscript supplies neither comparisons to measured half-lives of known superheavy nuclei (Z=114–118) nor uncertainty estimates on the predicted values.
Authors: We acknowledge this limitation. The manuscript focuses on predictions for the Z=123-126 region without including a validation against known data. We will revise the manuscript to include a table comparing our calculated half-lives with experimental values for nuclei with Z=114-118 where available, and we will discuss the uncertainties inherent in the models. revision: yes
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Referee: [Abstract] Abstract: the classification of nuclei as “stable” and “detectable through fission” or “alpha decay” is load-bearing for the result, but the text does not specify which semi-empirical or microscopic formulas are employed or whether additional parameters are introduced for the superheavy region.
Authors: We agree that the manuscript would benefit from a clearer specification of the formulas. We will revise the text to explicitly detail the semi-empirical formulas used for each decay channel and confirm that no additional parameters were introduced for the superheavy region. revision: yes
Circularity Check
No significant circularity; standard model extrapolation to new nuclei
full rationale
The paper computes half-lives via established semi-empirical formulas for alpha, cluster, and fission decay, then flags nuclei whose computed lifetimes exceed certain thresholds as 'stable.' This is a conventional forward application of pre-calibrated models to an unexplored mass region rather than any self-referential definition, parameter refit, or load-bearing self-citation. No equation or section reduces the stability assignment to the paper's own inputs by construction; the listed lifetimes are outputs of external formulas applied to candidate (Z,N) values. The claim that these 12 nuclei constitute evidence for the island of stability therefore rests on the (unverified) accuracy of the extrapolation, not on circular reasoning.
Axiom & Free-Parameter Ledger
free parameters (1)
- decay-model parameters
axioms (1)
- domain assumption Decay-rate formulas calibrated on known nuclei remain accurate for Z>120
Reference graph
Works this paper leans on
-
[1]
simple empirical formulae [ 20-44] are also available to determining decay half -lives
Various phenomenological and microscopic models such as fission mo del [16], cluster model [17], generalized liquid drop model (GLDM) [ 18], unified model for alpha -decay and alpha capture (UMADAC) [ 19] are available in the literature to study the different decay modes of superheavy nuclei . simple empirical formulae [ 20-44] are also available to deter...
-
[2]
The energy released during the decay process is depend on the difference between the mass excess of parent and daughter. In the figure 1, we have highlighted the minimum energy difference (M p-Md) between parent and daughter. If the value of (Mp-Md) is low t hen the corresponding half -lives are high. Figure 2 shows the variation of energy released Qα (Me...
-
[3]
Yu. Ts. Oganessian, J. Phys. G:Nucl. Part.Phys. 34, R165, (2007)
work page 2007
-
[4]
J. H. Hamilton, S.Hofmann, Y. T. Oganessian, Annu, Rev.Nucl. Part. Sci. 63, 383, (2013)
work page 2013
-
[5]
G.G.Adamian, N.V.Antonenko, H.Lenske, Nuclear Physics A 970 (2018) 22–28 5
work page 2018
-
[6]
Yu.Ts. Oganessian, et al., Phys. Rev. Lett. 104 (2010) 142502
work page 2010
- [7]
- [8]
- [9]
-
[10]
L. Stavsetra, K.E. Gregorich, J. Dvorak, P.A. Ellison, I. Dragojevic, M.A. Garcia, H. Nitsche, Phys. Rev. Lett. 103 (2009) 132502
work page 2009
- [11]
- [12]
- [13]
-
[14]
J.M. Khuyagbaatar, et al., Phys. Rev. Lett. 112 (2014) 172501
work page 2014
- [15]
-
[16]
C.E. Düllmann, TASCA Collaboration, in: Fission and Properties of Neutron-Rich Nuclei, vol.44, World Scientific, Singapore, 2013, p.271
work page 2013
-
[17]
S. Hofmann, et al., Eur. Phys. J. A 52 (2016) 180, 52 (2016) 116
work page 2016
-
[18]
D.N. Poenaru, M. Ivascu, A. Sandulescu, W. Greiner, Phys. Rev. C 32 (1985)572
work page 1985
- [19]
- [20]
-
[21]
V. Yu. Denisov and H. Ikezoe, Phys. Rev. C 72 (2005) 064613
work page 2005
-
[22]
D. N. Poenaru, R. A. Gherghescu, and W. Greiner, Phys. Rev. C 83, 014601 (2011)
work page 2011
-
[23]
D.Ni, Z.Ren, T.Dong, C.Xu, Phys. Rev. C 78, 044310 (2008)
work page 2008
- [24]
- [25]
-
[26]
C. Qi, F. R. Xu, R. J. Liotta, and R. Wyss, Phys. Rev. Lett. 103, 072501 (2009)
work page 2009
-
[27]
B. Sahu, R. Paira, and B. Rath, Nucl. Phys. A 908, 40 (2013)
work page 2013
-
[28]
Denisov, V. Y., & Khudenko, A. A. (2009). Phys. Rev. C, 79(5), 054614
work page 2009
-
[30]
M.Horoi, B.A.Brown, A.Sandulescu, J. Phys. G: Nucl. Part. Phys. 30, 945 (2004)
work page 2004
-
[31]
V.Yu.Denisov, A.A.Khudenko, Phys. Rev. C 79, 054614 (2009) 82, 059901 (E) (2010)
work page 2009
-
[32]
A.Sobiczeweski, Z.Patyk, S.Cwiok, Phys.Lett B, 224(1989)1
work page 1989
-
[33]
A.Parkhomenko, A.Sobiczeweski, Acta Physica Pol.B 36(10)(2005)3095-3108
work page 2005
-
[34]
G.Royer, J. Phys. G: Nucl. Part. Phys. 26, 1149 (2000)
work page 2000
-
[35]
A.Parkhomenko, A.Sobiczewski, Acta Physica pol. B 36(10)(2005) 3095-3108
work page 2005
-
[36]
D.T.Akrawy, H.Hassanabadi, S.S.Hosseini, K.P.Santhosh, Nucl. Phys. A 971 (2018)130-137
work page 2018
-
[37]
G.Royer, Nucl. Phys. A, 848, 279 (2010)
work page 2010
- [38]
- [39]
-
[40]
Budaca, R.Budaca, I.Silisteanu, Nuc
A.I. Budaca, R.Budaca, I.Silisteanu, Nuc. Phys. A 951 (2016) 60-74
work page 2016
-
[41]
D. N. Poenaru, W. Greiner, M. Ivaşcu, D. Mazilu, and I. H. Plonski, Z. Phys. A: At. Nucl. 325, 435 (1986)
work page 1986
-
[42]
A.Sobiczewski, A.Parkhomenko, Prog. Part. Nucl. Phys. 58, 292 (2007)
work page 2007
-
[43]
D.T. Akrawy and D. N. Poenaru, Jour. Phys. G: Nuc. and Part. Phys. 44, 10 (2017)
work page 2017
-
[44]
D. Akrawy and D. N. Poenaru, J. Phys. G: Nucl. Part. Phys. 44, 105105 (2017)
work page 2017
-
[45]
J. M. Dong, et al., Nucl. Phys. A 832, 198 (2010) 6
work page 2010
- [46]
- [47]
- [48]
- [49]
-
[50]
Manjunatha, N.Sowmya (2018) Nucl
H.C. Manjunatha, N.Sowmya (2018) Nucl. Phy. A (2018) 969: 68–82 Table 1: comparison of the alpha decay halflives with that of the values produced by the different semi empirical formulae available in the literature Method 318123 319123 317124 318124 319124 320124 318125 319125 320125 321125 319126 320126 Present work 32.87 35.95 15.96 29.00 34.51 38.18 17...
work page 2018
discussion (0)
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