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REVIEW 4 major objections 4 minor 34 references

Structure studies of 257Db through combined {\alpha}, {\gamma} and internal-conversion-electron spectroscopy

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Pith's one-line read This paper argues that the ground state of $^{257}$Db is the $9/2^-[505]$ Nilsson state, not the previously assigned $9/2^+[624]$ state, based on the first observation of a high-$K$ isomer in $^{257}$Db, a new $\alpha$-decay branch in…

desk verdict Genuinely new data on 257Db and its decay chain, but the parity-change claim is a plausible interpretation built on a few soft assumptions, not a settled result. read the letter →

arxiv 2507.01262 v1 pith:NJX7S2U2 submitted 2025-07-02 nucl-ex

P. Brionnet , A. Lopez-Martens , O. Dorvaux , Z. Asfari , M. L. Chelnokov , V. I. Chepigin , H. Faure , B. Gall
show 16 more authors
K. Hauschild A. V. Isaev I. N. Izosimov A. A. Kuznetsova O. N. Malyshev R. S Mukhin J. Piot A. G. Popeko Y. A. Popov K. Rezynkina B. Sailaubekov E. A. Sokol A. I. Svirikhin M. S. Tezekbayeva A.V. Yeremin N.I. Zamyatin
This is my paper · ORCID
classification nucl-ex PACS 23.60.+e21.10.Hw27.90.+b
keywords 257Dbdubnium-257high-KisomeralphadecayNilssonstatesinternalconversionsuperheavynucleihindrancefactors
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Along the $\alpha$-decay chain of $^{257}$Db, this paper reports three new observations: a $0.71$ ms high-$K$ isomer in $^{257}$Db, a faster $1.1$ s $\alpha$ branch from the $1/2^-$ state in $^{249}$Md, and the first internal transition in $^{253}$Lr, a highly converted $145$ keV decay. These data fix the relative excitation energies of the high-spin and $1/2^-$ states in $^{249}$Md, $^{253}$Lr, and $^{257}$Db to within roughly $30$ keV. To explain the double-humped $\alpha$ spectrum of the $^{257}$Db high-spin state together with the new internal transition, the paper argues that the ground state of $^{257}$Db is the $9/2^-[505]$ Nilsson state, not the previously assigned $9/2^+[624]$ state. If correct, this revises the ordering of single-proton states above $Z=100$ and indicates that non-self-consistent calculations miss essential deformation or charge-density effects.

What carries the argument

The load-bearing object is the Nilsson single-proton orbital $9/2^-[505]$, which the paper places at the Fermi surface of $^{257}$Db. The mechanism that carries the argument is the hindrance factor of $\alpha$ decay: a transition between states of opposite parity and different spin projection would be strongly hindered, so the observation of favoured decays (hindrance factor near $1$) forces the initial and final states to share the same Nilsson configuration. This is combined with Monte Carlo simulations of the detector response that reproduce the energy summing of $\alpha$ particles with internal-conversion electrons and atomic radiations; the double-humped shape of the measured $\alpha$ spectrum is the fingerprint that selects among candidate decay schemes. The newly observed high-$K$ isomer, whose decay is seen only in correlation with the high-spin ground state, provides the additional constraint that the ground state must itself be high-spin.

What would settle it

Measure the multipolarity of the $145$ keV transition in $^{253}$Lr by collecting enough $K$-shell versus $L$-shell conversion-electron ratios to distinguish E1 from M1/E2; an E1 result would contradict the proposed decay from the $9/2^-[505]$ band head to the $11/2^-$ member. A second, independent check is direct atomic spectroscopy of $^{257}$Db: if the ground-state spin and parity turn out to be $9/2^+$, the paper's central revision is refuted.

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Extended reading notes

Core claim

The central claim is that the accepted $9/2^+[624]$ ground-state assignment for $^{257}$Db cannot accommodate the sum of the measured decays, and that the data instead support a $9/2^-[505]$ ground state, a proton Nilsson orbital from the same $h_{9/2}$ shell that gives the $7/2^-[514]$ ground state of $^{253}$Lr. The evidence assembled is that the $145$ keV highly converted transition in $^{253}$Lr appears only after the high-spin $\alpha$ decay of $^{257}$Db; that no scenario built on a $9/2^+$ state can reproduce the double-humped $\alpha$-energy spectrum in Monte Carlo simulations unless an inter-band transition of about $145$ keV is introduced; and that the newly measured chains place the $1/2^-[521]$ state $48$-$78$ keV above the ground state in $^{249}$Md, nearly degenerate ($-24$ to $6$ keV) in $^{253}$Lr, and $59$-$89$ keV above the ground state in $^{257}$Db. With the $9/2^-$ assignment, the favoured $\alpha$ decay to the $9/2^-[505]$ band head has hindrance factor about $1.2$, the weaker branches to the $11/2^-$ and $9/2^-$ members are consistent with the observed spectrum, and the conversion coefficient of the $145$ keV transition, although imprecise, does not exclude M1 or E2 multipolarity.

Load-bearing premise

The argument assumes that the previously assigned $7/2^-[514]$ ground states of $^{253}$Lr and $^{249}$Md are correct and that all $80$-$150$ keV electron events in $^{253}$Lr come from conversion of a single $145$ keV transition; if either of these gives way, the deduced band structure and the $9/2^-[505]$ assignment lose their foundation.

Editorial extensions

If this is right

  • The ground state of $^{257}$Db should be reassigned as $9/2^-[505]$, and future work on the $A=257$ decay chain should adopt the revised level scheme of Fig. 17.
  • The $1/2^-[521]$ isomer is now placed at $48$-$78$ keV in $^{249}$Md, $-24$ to $6$ keV in $^{253}$Lr, and $59$-$89$ keV in $^{257}$Db; these values become fixed points that nuclear-structure calculations of the $Z>100$ region must reproduce.
  • If the reassignment holds, the $9/2^+[624]$ orbital is no longer a low-lying proton state in $^{257}$Db, which affects the microscopic configurations proposed for high-$K$ isomers in neighbouring nuclei such as $^{257}$Rf and $^{254}$No.
  • Confirmation of the $9/2^-[505]$ assignment would imply that non-self-consistent mean-field calculations misorder proton orbitals above $Z=100$, pointing to higher-multipolarity deformation or charge-density effects as the missing ingredient.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A direct test would be to search for the $9/2^-[505]$ band head in neighbouring odd-proton nuclei such as $^{255}$Lr or $^{251}$Md; finding it close to the $7/2^-[514]$ ground state, as this scheme predicts, would strengthen the assignment, while a high placement would weaken it.
  • The technique of using the summed $\alpha$-plus-conversion-electron spectral shape as a fingerprint, rather than relying only on peak energies, could be applied to other odd-$Z$ superheavy $\alpha$ emitters that show unexplained double-humped structures.
  • A model-independent parity measurement of the $^{257}$Db ground state, for example from laser spectroscopy of the hyperfine structure or from angular correlations of oriented nuclei, would settle the $9/2^-$ versus $9/2^+$ question without invoking hindrance-factor systematics.
  • The conversion coefficient of the $145$ keV transition in $^{253}$Lr is measured with very wide uncertainties; a dedicated run collecting more electron events would discriminate M1/E2 from the much less converted E1 alternative, and with it the proposed decay path.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 4 minor

Summary. This manuscript reports a combined alpha-gamma-electron spectroscopy study of 257Db produced in the 50Ti + 209Bi fusion-evaporation reaction, using the GABRIELA setup coupled to SHELS. It presents three main experimental findings: (i) the first observation of a high-K isomer in 257Db with t1/2 = 0.71(+0.29,-0.18) ms and an excitation energy of at least 1.1 MeV; (ii) a previously unreported alpha-decay branch from the 1/2- state in 249Md at about 8350 keV with t1/2 ~ 1.1 s, constraining its excitation energy to 48-78 keV; and (iii) the first observation of internal conversion electrons in 253Lr following the high-spin alpha decay of 257Db, with a highly converted 145 keV transition and 48 electron events in the 80-150 keV range. On the basis of these data and Geant4 simulations, the authors propose that the high-spin ground state of 257Db has negative parity, 9/2-[505], rather than the previously suggested 9/2+[624], with the 1/2-[521] state at 59-89 keV; this revision affects Nilsson-level systematics above Z = 100.

Significance. The experimental material is valuable. The correlation plots in Figs. 2, 5, 7, and 12 support the claimed new isomer, the new alpha branch, and the coincidence pattern, and the measured half-lives and energies are broadly consistent with previous work. If the parity change is correct, the paper provides a rare experimental constraint on single-proton Nilsson states near Z = 105, with implications for the ordering of h9/2 and i13/2 intruder orbitals and for hexadecapole deformation trends. The paper also gives new quantitative constraints on the relative energies of the 1/2- and 7/2- states in 249Md, 253Lr, and 257Db. However, the central parity assignment is not yet established at the level claimed: it rests on the single-transition interpretation of a broad electron group and on Geant4 simulations whose feeding intensities are adjusted to reproduce the same data. The manuscript itself acknowledges the assumption that the 7/2- assignments of 253Lr and 249Md are correct, and the present data do not provide an independent, statistically quantified test of the 9/2- scenario.

major comments (4)
  1. [Section III.A and Section IV.B (Figs. 7 and 17)] The parity-change conclusion depends on identifying all 48 electron events in the 80-150 keV range as LMN conversion electrons of a single 145 keV transition in 253Lr. The text itself says "If one assumes..." and the resulting conversion coefficient 21(+28,-11) overlaps M1/E2 predictions at less than 2 sigma, but the electron energy distribution is broad and the decay scheme in Fig. 17 contains other low-energy transitions (66, 85, 60 keV) that could contribute to the same detector group. The authors should demonstrate, for example by simulating the response to a mixture of transitions or by fitting the electron-energy distribution, that the single-transition assumption is justified; otherwise the 145 keV placement and the derived 9/2- parity lose their quantitative foundation.
  2. [Section IV.B, Figs. 16(a) and 18] The Geant4 simulations are used to rule out the previous 9/2+[624] interpretation (Fig. 16) and to support the new 9/2- scenario (Fig. 18), but the feeding intensities fed into the simulation are extracted from the same measured alpha spectrum (Table I, Section III.A) and no uncertainties are attached to the simulated spectra. The agreement in Fig. 18 is therefore a fit, not an independent validation, and the statement that the 9/2+ scenario "cannot account for the double-humped structure" is not quantified. The authors should provide a statistical comparison (for example chi-square or likelihood with bin-by-bin errors, including systematic uncertainties from implantation depth and detection efficiencies) and show the sensitivity of the conclusion to the fitted feeding intensities.
  3. [Section IV.B] The proposed assignment explicitly assumes the previous 7/2-[514] ground-state assignments for 253Lr and 249Md: "The scenario proposed here ... assumes that the previous 7/2- assignments ... is correct." This is a load-bearing external input: if either assignment were incorrect, the relative-parity argument and the preferred 9/2-[505] assignment would not follow. The paper does not assess how the conclusion would change if, for example, the ground state of 253Lr or 249Md had spin 9/2- or 5/2-. A sensitivity discussion, or at least an explicit statement that the conclusion is conditional on these assignments, is needed in the interpretation section rather than only as an embedded caveat.
  4. [Section IV.A (Fig. 14)] The deduced 48-78 keV excitation energy of the 1/2- state in 249Md depends on the assumption that the 7/2+[633] band head in 245Es lies below the 5/2- member at about 30 keV (deduced from systematics) and on excluding the possible 5/2- feeding branch from the simulation because of low statistics. These choices affect the band structure and the subsequent energy constraints in 253Lr and 257Db. The authors should at least indicate the range of excitation energies allowed if the 5/2- branch were present at the few-percent level, or justify the exclusion more quantitatively.
minor comments (4)
  1. [Abstract] The phrase "the first observation the internal decay in 253Lr" is grammatically incomplete; it should read "the first observation of the internal decay in 253Lr."
  2. [Section II] There is a typo in "to ensure the highest detection efficiency possile [14]"; it should be "possible."
  3. [Figure 17] The half-life for the 253Lr low-spin state is labeled "2.0(14) s", whereas the text and Table I give 2.0(1) s; this should be corrected.
  4. [Section III.A, Table I] The alpha-decay energies for 257Db are listed as "extracted from the Monte Carlo simulation"; the directly measured peak centroids should also be reported, since those are the primary observable quantities and would allow independent checks of the simulation-based corrections.

Circularity Check

1 steps flagged · score 5.0 of 10

The α-spectrum agreement in Figs. 16/18 is produced with feeding intensities extracted from the same measured spectrum; the parity-change scenario is therefore a consistency fit, not an independent prediction.

  1. fitted input called prediction [Section IV.B / Fig. 18; Section IV.A / Fig. 13]
    "To replicate the observed “double-hump” α spectrum in Fig.4, a ∼145 keV M1 or E2 transition connecting states from different rotational bands is necessary. ... Figure 18 highlights the reproduction of the data through Geant4 simulation with this scenario; ... The extracted intensities yield a HF of the order of 1.2 and 34 for the decays to the 9/2−[505] band head and to the 9/2− member of the ground-state band."

    The feeding intensities that drive the Geant4 simulation (the 18.8% and 5% branches in Table I, and the 'extracted intensities' quoted in Fig. 18) are obtained from the very measured high-spin 257Db α spectrum that the simulation is then said to reproduce. The double-hump shape is first used to require a ∼145 keV inter-band M1/E2 transition; the simulation is then run with that transition and with branch intensities tuned to the same spectrum. The agreement in Fig. 18 is therefore a fit-quality check, not an independent confirmation of the 9/2−[505] assignment. The same fitted-input pattern applies to the 249Md simulation in Fig. 13, where the new 8350 keV decay energy and the 20% branch are placed into the model and compared with the same measured spectrum from which they were inferred.

full rationale

The paper's genuinely new measurements (the high-K isomer half-life, the 8350 keV 249Md α branch, the 145 keV γ rays and 80–150 keV electron group in coincidence with 257Db α decays, and the half-lives and energies of the two 257Db and two 253Lr states) are independent data. The circularity is confined to the simulation-based validation: in Figs. 13 and 18, the Geant4 calculations are initialized with energies, transition multipolarities, and feeding intensities that were derived from the same spectra being compared, so the 'reproduction' is a consistency statement rather than a prediction. I found no load-bearing self-citation chain: references [9], [14], and [15] are methodological/prior-work citations from the same group, but the central interpretation rests on the new data and on external nuclear-structure systematics. The explicit assumption that the 7/2− assignments for 253Lr and 249Md are correct is stated openly and is not circular. The conversion-coefficient argument for the 145 keV transition is statistically weak (ICC = 21 +28/−11 compared with M1/E2 values of 4.95/6.4) and depends on assuming all 80–150 keV electrons belong to a single transition, but that is a fragility/robustness concern, not a circularity. Overall, the circularity is partial: the central spectral agreement is fitted, but the underlying observables are independently measured and the proposed 9/2−[505] assignment is not solely a renaming of those inputs.

Assumptions & free parameters 3 free parameters · 5 assumptions · 0 invented entities

The central claim rests on prior spin-parity assignments for daughter nuclei, on the identification of a single 145 keV transition in 253Lr, and on fitted branching ratios used in Geant4 simulations. No new fundamental entities are introduced.

free parameters (3)
  • 257Db high-spin state alpha feeding intensities = 5.0 +/- 1.5%, 76.2 +/- 4.5%, 18.8 +/- 4.5%
    Branches to the 9/2-[505] band head, the 11/2- member, and the 9/2- member of the ground band are varied in Geant4 to reproduce the observed double-humped alpha spectrum (Table I, Fig. 18).
  • 249Md simulation feeding of 9/2- rotational band member in 245Es = 20%
    A 20% branch to the 9/2- member of the 7/2- rotational band in 245Es is included in the simulation to reproduce the main alpha peak shape (Section IV.A, Fig. 13).
  • Implantation depth profile parameters = Gaussian mean and standard deviation adjusted to reproduce escaping 257Db alpha energy depositions
    The implantation depth profile in the DSSD is calibrated by reproducing energy depositions of escaping alpha particles (Section IV.A, following [14]); these parameters affect summing corrections and thus the extracted alpha energies.
assumptions (5)
  • domain assumption Ground states of 253Lr and 249Md have spin-parity 7/2-[514]
    Explicitly assumed in Section IV.B: 'The scenario proposed here... assumes that the previous 7/2- assignments for the ground states of 253Lr and 249Md is correct.'
  • domain assumption The 145 keV transition observed in 253Lr is a single transition and all electrons above 100 keV are its LMN+ conversion electrons
    Section III.A uses this to derive an internal conversion coefficient; if the electron group is mixed, the multipolarity and hence the level scheme are not unique.
  • domain assumption Rotational band parameters and gyromagnetic factor g_K=0.69 for 7/2-[514] in 253Lr are the same as measured in 251Md
    Section IV.B (Fig. 16) uses g_K=0.69 from 251Md [17] to compute M1/E2 competition in the ground-state rotational band.
  • domain assumption Nilsson model classification with asymptotic quantum numbers is applicable to these deformed superheavy nuclei
    Used throughout the interpretation to assign 9/2-[505], 7/2-[514], and 1/2-[521] states and to compute hindrance factors.
  • domain assumption No unobserved low-energy transitions below detector thresholds contribute significantly to the alpha spectra
    The paper sets an upper limit of about 15 keV for an unobserved E1 transition based on detection efficiency (Section IV.B) and relies on this to exclude 9/2+ scenarios.

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Pith. "Pith review of Structure studies of 257Db through combined {\alpha}, {\gamma} and internal-conversion-electron spectroscopy." pith.science (2026). https://pith.science/paper/NJX7S2U2

@misc{pith2026250701262,
  author       = {Pith},
  title        = {Pith review of: Structure studies of 257Db through combined \alpha, \gamma and internal-conversion-electron spectroscopy},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/NJX7S2U2}},
  note         = {Machine review of arXiv:2507.01262}
}
abstract

This work reports on the study of the decay properties along the $^{257}$Db decay chain using the GABRIELA setup. The first observation of a high-K isomer in $^{257}$Db is presented. In addition, an unreported $\alpha$-decay branch in $^{249}$Md has been evidenced, allowing to constrain the differences in energy of the $\alpha$-decaying levels in $^{249}$Md, $^{253}$Lr and $^{257}$Db. Finally, the combination of the observed fine structure $\alpha$-decay from the high-spin state in $^{257}$Db with the first observation the internal decay in $^{253}$Lr requires a revision of level and decay scheme. In particular, a change of parity for the high-spin state from 9/2$^{+}$ to 9/2$^{-}$ in the $^{257}$Db is suggested, and the implications of such a change are also discussed.

Figures

Figures reproduced from arXiv: 2507.01262 by the authors.

Figure 1
Figure 1. FIG. 1: Partial decay scheme of the [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2: Genetic correlations between successive decays [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3: Decay time in log [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figures from the paper (11 more)
Figure 4
Figure 4. Figure 4: FIG. 4: Energy spectrum of the [PITH_FULL_IMAGE:figures/full_fig_p003_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5: First generation decay time, in log [PITH_FULL_IMAGE:figures/full_fig_p003_5.png]
Figure 5
Figure 5. Figure 5: Fig.5. Therefore, these correlations suggest the existence [PITH_FULL_IMAGE:figures/full_fig_p004_5.png]
Figure 7
Figure 7. Figure 7: FIG. 7: Detected electron and [PITH_FULL_IMAGE:figures/full_fig_p004_7.png]
Figure 8
Figure 8. Figure 8: FIG. 8: Decay time in log [PITH_FULL_IMAGE:figures/full_fig_p005_8.png]
Figure 9
Figure 9. Figure 9: FIG. 9: Energy spectrum of the [PITH_FULL_IMAGE:figures/full_fig_p005_9.png]
Figure 12
Figure 12. Figure 12: plots the logarithm of the decay time as a function of the decay energy for the third-generation de￾cays. 245Es decays appear due to undetected escaping 249Md 245Es (40 % α BR) 249Fm (33 % α BR) summing 7500 8000 (keV) 3 Eα -5 0 5 s) ) ( 2 α￾3 α t ∆ ( 2 log new decay …
Figure 11
Figure 11. Figure 11: FIG. 11 [PITH_FULL_IMAGE:figures/full_fig_p006_11.png]
Figure 14
Figure 14. Figure 14: FIG. 14: Decay scheme of [PITH_FULL_IMAGE:figures/full_fig_p007_14.png]
Figure 15
Figure 15. Figure 15: FIG. 15: Decay scheme of [PITH_FULL_IMAGE:figures/full_fig_p008_15.png]
Figure 18
Figure 18. Figure 18: FIG. 18: Comparison between the measured [PITH_FULL_IMAGE:figures/full_fig_p009_18.png]

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