{"id":"15e71df0-243a-4424-b770-69dcb6756eff","arxiv_id":"2508.00962","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":4.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":2,"one_line_summary":"New relativistic distorted-wave excitation cross-sections and collisional-radiative spectra are presented for Na-like Kr and Xe, but the xenon cross-section table is internally inconsistent as printed and the model's ionization inputs are never specified.","lead":"This paper computes electron-impact excitation cross-sections and collisional-radiative emission spectra for sodium-like Kr25+ and Xe43+ ions, validating krypton against earlier calculations and presenting new xenon data. Fusion devices and hot stars are diagnosed through impurity ion emission lines, and line diagnostics need exactly this kind of atomic dataset.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Appendix A's EIE table lists nonzero cross-sections below known thresholds (e.g., 3s-3p1/2 at 0 eV despite a 100.2 eV threshold), so the central Xe EIE dataset is internally inconsistent and unusable as presented.","rationale":"The Kr section is a genuine validation: excitation energies agree with NIST and [15], and the shown EIE cross-sections and rate coefficients agree with prior independent work. The Xe section, however, constitutes the novel contribution, and its principal data table is internally inconsistent. The Appendix A table lists cross-sections at incident energies far below the thresholds given in the paper's own Table II, which violates energy conservation and makes the table unusable as the promised EIE dataset. This directly undermines the central claim of providing new EIE cross-sections for Na-like Xe. The reader's weakest_assumption focused on missing ionization rates and plasma parameters in the collisional-radiative model; while that is also a serious reproducibility issue, the EIE table corruption is more load-bearing because it invalidates the primary new atomic data itself. Nonetheless, the reader's CONDITIONAL verdict remains appropriate: the paper needs major revision to correct or regenerate the table and document the CR-model inputs, but the underlying MCDHF/RDW methodology is standard and the Kr validation gives some confidence. Therefore, I do not change the verdict.","tokens_in":100132,"tokens_out":5698,"duration_ms":55241,"concrete_test":"Parse Appendix A and record the first energy at which each column becomes nonzero. Compare to the excitation thresholds in Table II (e.g., 3s-3p1/2: 100.2 eV; 3s-3p3/2: 186.3 eV; 3s-3d3/2: 313.1 eV; 3s-3d5/2: 332.4 eV). If any column has nonzero entries below its threshold, the table is physically invalid. Also verify the row width equals the number of headers; the first data row has an extra field.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central new deliverable for Na-like Xe is the EIE cross-section dataset, which Section III-B says is \"provided in form of table in appendix A.\" That table is internally inconsistent with the paper's own level energies. For instance, the 3s-3p1/2 threshold is 100.20 eV (Table II), yet Appendix A lists sigma = 104.24e-20 cm2 at incident energy 0 eV; 3s-3p3/2 threshold is 186.29 eV, yet the table lists 122.81 at 0 eV; 3s-3d3/2 (threshold 313.14 eV) first becomes nonzero at 77 eV with 123.55; 3s-3d5/2 (threshold 332.36 eV) first appears at 145 eV. These onsets contradict both Table II and the physical requirement that cross-sections vanish below threshold. The table also has a row/column mismatch (13 entries in the first data row versus 12 column headers). Consequently, the EIE cross-sections claimed for Xe are not reproducible from the paper, and the agreement of the intensity spectrum with previous work cannot be checked against the provided data. This is not a missing-input issue; it is an internal inconsistency in the primary new result.","agreement_with_reader":"disagree"},"referee_report":{"model":"deepseek-v4-flash","summary":"This manuscript reports MCDHF and RDW calculations of fine-structure energies, electron-impact excitation (EIE) cross-sections, rate coefficients, and Collisional-Radiative (CR) model results for Na-like Kr25+ and Xe43+. For Kr, the authors compare their excitation energies with NIST and with Ref. [15], show EIE cross-sections and rate coefficients for two transitions each, and present a CR-model emission spectrum and line-ratio temperature dependence. For Xe, they compare fine-structure energies with NIST, state that EIE cross-sections are provided in Appendix A, and present an emission spectrum and line-ratio curves from a CR model, claiming agreement with previous experiments and theories.","tokens_in":100221,"tokens_out":5659,"duration_ms":52206,"significance":"If the results are correct and the data are made reproducible, the paper would provide a new MCDHF/RDW EIE dataset for Na-like Xe43+ and an independent confirmation of the earlier Kr25+ calculation in Ref. [15]. The methods are standard and ab initio: MCDHF and RDW involve no fitted parameters, and the reverse (de-excitation and recombination) rates follow from detailed balance. The Kr validation is genuinely useful, with tabulated energies agreeing with NIST at the 0.06-0.21 percent level and the displayed cross-sections and rate coefficients tracking Ref. [15]. However, the paper's own reported agreement statistics do not match its tables, the central Xe EIE table in Appendix A is internally inconsistent with the paper's threshold energies, and the CR-model inputs are not fully specified, so the main new deliverables are not currently reproducible.","major_comments":[{"comment":"The EIE cross-section table in Appendix A is internally inconsistent with the paper's own level energies in Table II. For example, the 3s-3p1/2 threshold is 100.20 eV according to Table II, yet the table lists sigma = 104.24e-20 cm2 at incident energy 0 eV; the 3s-3p3/2 threshold is 186.29 eV, yet the table lists 122.81 at 0 eV; the 3s-3d3/2 transition (threshold 313.14 eV) first becomes nonzero at 77 eV; and the 3s-3d5/2 transition (threshold 332.36 eV) first appears at 145 eV. These onsets violate the physical requirement that cross-sections vanish below threshold and contradict the paper's own level energies. In addition, the first data row contains 13 entries including the energy column while the header has 12 columns, so the table cannot be parsed unambiguously. Because Section III-B states that the Xe EIE data are provided exactly in this table, the central new deliverable is not usable as presented.","section":"Section III-B, Appendix A"},{"comment":"The reported agreement statistics do not match the tabulated values. For Kr the text states a mean percentage difference with NIST of (0.015, 0.008), but the lowest 3p1/2 energy in Table I differs from NIST by about 0.21 percent (56.458 eV vs 56.340 eV), and most rows differ by 0.05 to 0.15 percent. For Xe the claimed mean percentage difference of 0.0011 percent is inconsistent with Table II, where the 3p1/2 level (100.20 vs 100.00 eV) differs by 0.2 percent and the 3d3/2 level (313.14 vs 312.89 eV) differs by 0.08 percent. The printed statistics therefore cannot have been computed from the displayed tables, so the validation claim is not currently supported.","section":"Section III-A, Tables I and II"},{"comment":"The CR-model inputs needed to reproduce the intensity spectra and line ratios are not stated. For Kr the text says only that the ion density and electron temperature are taken 'as mentioned in [15]' without giving the numerical values; for Xe the density, the temperature grid, and the ionization and three-body recombination rate coefficients entering Eq. (15) are never specified. Equation (15) explicitly contains the ionization rate coefficient k_u^+(Te), but no source or numerical values for these coefficients are provided. Since the Xe intensity profile and line-ratio curves are primary new results, this missing information prevents independent verification of those results.","section":"Section II-C, Section III-A, Section III-B"},{"comment":"The claimed agreement of the Xe emission spectrum with Refs. [20], [13], and [21] is only qualitative. The text lists wavelengths (8.48, 5.82, 6.61, 6.66, 12.39 nm, and 2.96, 2.74 Angstroms) but provides no comparison plot, no line-position residuals, and no quantitative metric such as relative intensity ratios. Figure 7 is a single Gaussian-convolved spectrum from this work alone. Without a quantitative comparison, the central validation claim for the Xe CR model cannot be assessed from the manuscript.","section":"Section III-B, Fig. 7"}],"minor_comments":[{"comment":"There are typographical errors in the method names, including 'Multiconfiguration Dirac-Hartee-Fock' and 'coulumb repulsion'; these should be corrected to 'Hartree-Fock' and 'Coulomb repulsion'.","section":"Abstract and Section II-A"},{"comment":"The x-axis labels read 'T emperature (ev)' and should be 'Temperature (eV)'; the text refers to temperatures up to 20000 eV while the figures' axis unit is not fully specified, and the y-axis shows 'Ratio' without stating the specific line pairs beyond the legend.","section":"Figs. 5 and 8"},{"comment":"The notation for the transitions is inconsistent between the figures (e.g., '2p63p 2P o1/2 - 2p63s 2S1/2') and the table labels (e.g., '3s - 3p1/2'); the text should clarify that the closed inner shells are omitted in the table notation.","section":"Fig. 7 and text"},{"comment":"Reference [15] contains a broken URL in the full text ('https://www.mdpi.com/2218-2004/11/11/142' appears before 'Atoms'); the citation should be cleaned up.","section":"References"}],"recommendation":"major_revision","confidential_remarks":"The paper is essentially a data deliverable, and the central Xe EIE table must be corrected or replaced before the main claims can be evaluated. I found no evidence of circularity or fitted free parameters; the issues are internal consistency and completeness of the presented data. If the authors regenerate the appendix table with physically correct thresholds, correct the agreement statistics, and state the CR-model inputs, the paper could become suitable for publication."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"The Kr25+ section is the honest part of this paper: excitation energies agree with NIST at the 0.06–0.21% level, the two shown EIE cross-sections and two rate coefficients track [15] well, and the emission spectrum is qualitatively consistent. That is a legitimate validation of the MCDHF/RDW pipeline. The Xe43+ excitation energies also match NIST well, and the claimed Xe EIE cross-sections, CR intensity spectrum, and line-ratio temperature curves are new. So there is real content here.\n\nThe problem is the central Xe deliverable. Appendix A, which supposedly contains the Xe EIE cross-sections, is internally broken. Nonzero cross-sections appear below known thresholds (3s–3p1/2 at 0 eV, for instance, when Table II puts that threshold at 100.2 eV), and the rows have more entries than the column headers. The table looks like it was assembled from a larger spreadsheet and the columns shifted. On top of that, the paper's own agreement statistics don't match its tables: the quoted 0.0011% mean difference for Xe is about two orders of magnitude smaller than the 0.1% differences visible in Table II. The CR model includes ionization and three-body recombination in Eq. (15) but never says where those rates come from, and for Kr the plasma density and temperature are simply \"as mentioned in [15]\" without being listed, so the intensity spectra and line ratios cannot be reconstructed. No error bars appear anywhere, and the Xe cross-sections are benchmarked only against NIST level energies, not against the EIE calculations or measurements the paper itself cites ([8], [9]).\n\nNone of this makes the approach circular or the Kr validation suspect. But the Xe data as presented are not usable, and the quoted statistics need to be corrected. This is fixable: regenerate the appendix table from the actual output files, document the CR inputs, and recompute the agreement numbers. If that is done, the paper would be a useful data contribution for fusion impurity diagnostics and Na-like heavy-ion spectroscopy.\n\nRecommendation: send it to peer review rather than desk reject, but with a clear expectation of major revision. The referee should focus on Appendix A and the CR model inputs. I would not cite the Xe numbers until those are fixed.","headline":"Kr validation is solid; the Xe EIE table is internally inconsistent and unusable as presented.","tokens_in":100976,"tokens_out":3766,"would_cite":false,"duration_ms":38615,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"Using MCDHF and RDW methods, this paper builds collisional-radiative models of sodium-like Kr and Xe and shows that the Xe43+ emission spectrum matches earlier measurements.","keywords":["electron-impact excitation","Na-like krypton","Na-like xenon","MCDHF","relativistic distorted wave","collisional-radiative model","line ratios","plasma diagnostics"],"falsifier":"Rerunning the population balance of Eq. (15) with the ionization and three-body recombination rates explicitly supplied, or measuring the predicted line ratios in a plasma with independently known temperature and density, would settle the claim; disagreement with the paper's line-ratio curves beyond combined uncertainties would falsify it.","tokens_in":99713,"feed_emoji":"⚛️","tokens_out":5015,"duration_ms":56297,"temperature":0.7,"pith_summary":"The paper aims to show that a multiconfiguration Dirac-Hartree-Fock plus relativistic distorted wave pipeline can calculate electron-impact excitation cross-sections, rate coefficients, and collisional-radiative emission spectra for two sodium-like highly charged ions, Kr25+ and Xe43+. For Kr the computed excitation energies, cross-sections, rate coefficients, and line intensities match a prior calculation. For Xe the paper provides the first full CR-model output from this pipeline: a tabulated EIE dataset, an emission spectrum whose nanometer-range lines agree with previous measurements and whose angstrom-range lines correspond to known L-shell transitions, and temperature-dependent line ratios. If the paper is right, plasma spectroscopy gains a new self-consistent dataset for Xe43+ and an independent confirmation for Kr25+.","feed_headline":"Xe43+ spectrum reproduces measured EUV and X-ray lines","feed_subtitle":"MCDHF/RDW excitation data for Kr25+ and Xe43+ feed a collisional-radiative model usable in plasma diagnostics.","key_machinery":"The central machinery is the MCDHF method for bound-state wavefunctions, the RDW T-matrix construction for electron-impact excitation cross-sections, and the steady-state population balance of the collisional-radiative model, which combines excitation and de-excitation, ionization and three-body recombination, and spontaneous radiative decay. After solving the population balance, line intensities are computed as $I_{ul}=E_{lu}R_{ul}n_u$, and the same populations give the temperature-dependent line ratios.","core_discovery":"The central claim is that a single MCDHF/RDW framework, using 24 fine-structure levels for Kr25+ and the analogous Na-like level set for Xe43+, produces atomic structures that agree with a standard atomic database and electron-impact excitation results that agree with prior calculations for Kr. The new Xe43+ results, provided as cross-sections, an intensity profile, and line-ratio curves, reproduce known spectral features, with the model's emission lines matching earlier theoretical and experimental wavelengths in both the nanometer and angstrom ranges.","pith_inferences":["Because the paper never states the ionization and three-body recombination rates used in the population balance, a user should treat the Xe43+ intensities and line ratios as conditional on those inputs; substituting independent ionization rates could shift the predicted ratios.","The same MCDHF/RDW plus collisional-radiative pipeline could be applied to neighboring sodium-like ions where benchmark data exist, which would test whether the framework generalizes beyond Kr and Xe.","The line-ratio curves could in principle be inverted to infer electron temperature from observed Xe43+ spectra, but the sensitivity of that inversion to density and to the unstated recombination rates remains to be quantified.","First-order RDW treatments omit resonant excitation channels, so the role of resonances in the Xe43+ population balance is an open question that separate close-coupling or R-matrix calculations could address."],"forward_implications":["Na-like Kr25+ now has an independent MCDHF/RDW check of excitation energies, EIE cross-sections, and rate coefficients previously reported, supporting the use of either dataset in impurity-seeded plasma diagnostics.","Na-like Xe43+ gains a tabulated electron-impact excitation cross-section dataset covering the dominant fine-structure transitions from 3s, 3p, and 3d levels up to 100 keV incident energy, which can be used in other collisional codes.","The Xe43+ collisional-radiative model predicts emission lines and line-ratio temperature trends that can serve as a spectroscopic diagnostic of electron temperature in high-temperature plasmas.","The agreement of the calculated Xe43+ emission spectrum with previously measured nanometer and angstrom lines indicates that the model captures the main population and decay channels for this ion."],"supporting_citations":[{"why":"Defines the Na-like level set and the atomic-structure extension on which the present Kr and Xe calculations build.","marker":"[1]"},{"why":"Supplies the reference fine-structure excitation energies used to validate the calculated Kr and Xe levels.","marker":"[2]"},{"why":"Provides the prior Kr25+ EIE cross-sections, rate coefficients, and CR line intensities against which the Kr results are compared.","marker":"[15]"},{"why":"Is the cited source for the MCDHF theory used to generate atomic orbitals and transition rates.","marker":"[16]"},{"why":"Supplies the RDW T-matrix and rate-coefficient formalism used to compute EIE cross-sections and rate coefficients.","marker":"[17]"},{"why":"Provides the collisional-radiative solver approach cited for the population-balance modeling.","marker":"[18]"},{"why":"Supplies the reaction-coefficient and CR-model equations used in the population balance.","marker":"[19]"},{"why":"Provides the measured Xe extreme-ultraviolet wavelengths that the Xe43+ spectrum is compared with.","marker":"[20]"},{"why":"Provides the measured Xe EUV line near 12.39 nm matched by the model.","marker":"[13]"},{"why":"Supplies the measured X-ray lines near 2.96 and 2.74 angstroms that the model's angstrom-range intensities correspond to.","marker":"[21]"}],"fun_headline_variants":["Kr25+ and Xe43+ spectra fit observed EUV and X-ray lines","Atomic data for Na-like Kr and Xe reproduce measured lines","Collisional-radiative model matches Kr and Xe spectral emission","MCDHF/RDW calculations for Na-like ions match spectra"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The predicted Xe43+ intensities and line ratios depend on ionization and three-body recombination rates and on plasma density and temperature that are never stated, so if any of those inputs is wrong, every spectrum and line-ratio curve changes.","fun_headline_variants_meta":{"raw":{"variants":["Kr25+ and Xe43+ spectra fit observed EUV and X-ray lines","Atomic data for Na-like Kr and Xe reproduce measured lines","Collisional-radiative model matches Kr and Xe spectral emission","MCDHF/RDW calculations for Na-like ions match spectra"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000489,"raw_usage":{"total_tokens":2353,"prompt_tokens":834,"completion_tokens":1519,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":450,"completion_tokens_details":{"reasoning_tokens":1455}},"tokens_in":450,"tokens_out":1519,"duration_ms":11853,"temperature":1.0,"reasoning_tokens":1455,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-06T10:31:04.102749+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Rerunning the population balance of Eq. (15) with the ionization and three-body recombination rates explicitly supplied, or measuring the predicted line ratios in a plasma with independently known temperature and density, would settle the claim; disagreement with the paper's line-ratio curves beyond combined uncertainties would falsify it.","supporting_citations":[{"cited_title":"Extended calculations of atomic structure parameters for na-like ar, kr and xe ions using relativistic mcdhf and mbpt methods,","cited_arxiv_id":null,"evidence_quote":"Defines the Na-like level set and the atomic-structure extension on which the present Kr and Xe calculations build."},{"cited_title":"Atomic spectra database,","cited_arxiv_id":null,"evidence_quote":"Supplies the reference fine-structure excitation energies used to validate the calculated Kr and Xe levels."},{"cited_title":"Study of electron impact excitation of na-like kr ion for impurity seeding experiment in large helical device https://www.mdpi.com/2218-2004/11/11/142,","cited_arxiv_id":null,"evidence_quote":"Provides the prior Kr25+ EIE cross-sections, rate coefficients, and CR line intensities against which the Kr results are compared."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Is the cited source for the MCDHF theory used to generate atomic orbitals and transition rates."},{"cited_title":"Detailed electron impact fine-structure excitation cross-sections of kr+ and linear polarization of its subsequently emitted photons,","cited_arxiv_id":null,"evidence_quote":"Supplies the RDW T-matrix and rate-coefficient formalism used to compute EIE cross-sections and rate coefficients."},{"cited_title":"Colradpy: A python collisional radiative solver,","cited_arxiv_id":null,"evidence_quote":"Provides the collisional-radiative solver approach cited for the population-balance modeling."},{"cited_title":"Crmodel: A general collisional radiative modeling code,","cited_arxiv_id":null,"evidence_quote":"Supplies the reaction-coefficient and CR-model equations used in the population balance."},{"cited_title":"Extreme ultraviolet spectra of highly charged xe ions,","cited_arxiv_id":null,"evidence_quote":"Provides the measured Xe extreme-ultraviolet wavelengths that the Xe43+ spectrum is compared with."},{"cited_title":"Extreme ultraviolet spectra of highly charged xenon observed with an electron beam ion trap,","cited_arxiv_id":null,"evidence_quote":"Provides the measured Xe EUV line near 12.39 nm matched by the model."},{"cited_title":"L x-ray transitions in f-like to na-like xenon ions determined at a room temperature electron beam ion trap,","cited_arxiv_id":null,"evidence_quote":"Supplies the measured X-ray lines near 2.96 and 2.74 angstroms that the model's angstrom-range intensities correspond to."}],"review_version":1}