{"id":"191b3471-d21f-413f-8ce1-92e518d60f02","arxiv_id":"2607.01745","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":4.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":1,"one_line_summary":"Calculates two-quasiparticle spectra and alpha-decay schemes for the 288Mc chain using noninteracting quasiparticles on Woods-Saxon potentials, compares to data, and assigns specific E1 transitions.","lead":"The paper calculates excitation energies of two-quasiparticle states in nuclei along the alpha-decay chain of 288Mc using a noninteracting quasiparticle model on Woods-Saxon potentials with varied deformation parameters, then derives alpha-decay schemes and discusses possible E1 transitions. A smart generalist might read it to see how nuclear models are applied to interpret sparse experimental data on the heaviest known elements.","discovery_kind":"extension","skeptic_critique":{"model":"grok-4.3","headline":"Deformation parameters for Woods-Saxon potentials lack independent justification, risking circularity in spectral comparisons","rationale":"The reader's weakest_assumption directly identifies the same point. Because the full text is now available, the concrete_test above can be executed; if the deformations prove independent, the claim strengthens and the verdict can move to ACCEPT; if they are fitted, the comparison loses predictive power and CONDITIONAL remains appropriate.","tokens_in":1796,"tokens_out":364,"duration_ms":26902,"concrete_test":"From the methods section, list the exact β2, β4 (and any β6) values adopted for each nucleus in the 288Mc chain; determine whether they originate from an external macroscopic-microscopic calculation (e.g., Möller-Nix or FRDM) or were varied to minimize discrepancy with the observed spectra. If the latter, recompute the two-quasiparticle spectrum for 276Mt and 272Bh with the nearest literature deformations and check whether the E1 assignments survive.","verdict_should_be":"CONDITIONAL","load_bearing_attack":"The central claim requires that calculated two-quasiparticle energies (from noninteracting quasiparticles on Woods-Saxon potentials) match experimental alpha-decay and E1 data well enough to assign specific orbitals such as π[505]9/2→π[615]11/2. The abstract states that 'different sets of deformation parameters are considered,' but supplies no source or selection criterion for those parameters. In deformed superheavy nuclei the single-particle level ordering is acutely sensitive to quadrupole and hexadecapole deformations; if the sets are adjusted to reproduce the very excitation energies or alpha hindrance factors under discussion, the agreement ceases to test the quasiparticle structure and becomes a consistency check only.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript calculates excitation energies of two-quasiparticle states for nuclei in the α-decay chain of 288Mc within the non-interacting quasiparticle approximation based on Woods-Saxon single-particle potentials. Different sets of deformation parameters are employed; the resulting α-decay spectra are compared with experimental data, and observed E1 transitions in 276Mt and 272Bh are assigned to the specific single-particle transitions π[505]9/2→π[615]11/2 and neutron quasiparticle excitations, respectively.","tokens_in":1952,"tokens_out":538,"duration_ms":16032,"significance":"If the deformation parameters can be shown to be taken from independent sources and the calculated spectra reproduce measured energies and hindrance factors without post-hoc adjustment, the work would supply useful orbital assignments for interpreting recent experiments on odd-odd superheavy nuclei. The approach is standard for the field but its predictive power hinges on the independence of the input deformations.","major_comments":[{"comment":"Method section (description of Woods-Saxon potentials and deformation sets): the text states that 'different sets of deformation parameters are considered' but supplies no explicit source, reference, or selection criterion for these parameters. Because single-particle level ordering in this mass region is known to be acutely sensitive to β2 and β4, it is essential to demonstrate that the chosen values are not adjusted to reproduce the very excitation energies or α-decay data under discussion; otherwise the comparison becomes a consistency check rather than an independent test of the quasiparticle structure.","section":"Method"},{"comment":"Results on E1 assignments (§ on 276Mt and 272Bh): the claim that the E1 transition in 276Mt corresponds to π[505]9/2→π[615]11/2 rests on the calculated two-quasiparticle energies matching the observed transition energy. Without an independent justification of the deformation parameters used to obtain those energies, the orbital assignment is not yet load-bearing.","section":"Results (E1 transitions)"}],"minor_comments":[{"comment":"The abstract and introduction should cite the specific experimental references for the α-decay data of 288Mc and its daughters so that the comparison can be assessed quantitatively.","section":"Abstract/Introduction"},{"comment":"Notation for the Nilsson labels (e.g., π[505]9/2) should be defined once at first use and used consistently.","section":"Throughout"}],"recommendation":"major_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the careful reading and the recommendation for major revision. The comments highlight an important point regarding the independence of the input parameters. We address each major comment below and will revise the manuscript to improve clarity on this issue.","responses":[{"response":"We agree that explicit sources and selection criteria for the deformation parameters must be provided. The parameters used in the manuscript were drawn from independent literature values commonly employed for the superheavy mass region (based on macroscopic-microscopic calculations and systematics for neighboring nuclei), rather than adjusted to the excitation energies or α-decay data presented here. However, we acknowledge that the original text did not include the necessary references or explicit statement of independence. In the revised manuscript we will add the specific references, describe the selection criterion (consistency with ground-state deformations of even-even nuclei in the chain), and include a brief discussion confirming that no post-hoc fitting to the two-quasiparticle spectra or hindrance factors was performed.","revision_made":"yes","referee_comment":"[Method] Method section (description of Woods-Saxon potentials and deformation sets): the text states that 'different sets of deformation parameters are considered' but supplies no explicit source, reference, or selection criterion for these parameters. Because single-particle level ordering in this mass region is known to be acutely sensitive to β2 and β4, it is essential to demonstrate that the chosen values are not adjusted to reproduce the very excitation energies or α-decay data under discussion; otherwise the comparison becomes a consistency check rather than an independent test of the quasiparticle structure."},{"response":"The proposed E1 assignment follows from the numerical agreement between the calculated two-quasiparticle energy spacing (for the indicated proton orbitals) and the observed transition energy, using one of the deformation sets considered. We accept that this assignment would be stronger with explicit documentation that the deformations are independent of the data under discussion. The revision described in response to the first comment will supply that documentation, allowing the orbital assignment to rest on firmer ground. We will also add a sentence in the results section reiterating that the deformation parameters were fixed prior to the comparison with the E1 data.","revision_made":"yes","referee_comment":"[Results (E1 transitions)] Results on E1 assignments (§ on 276Mt and 272Bh): the claim that the E1 transition in 276Mt corresponds to π[505]9/2→π[615]11/2 rests on the calculated two-quasiparticle energies matching the observed transition energy. Without an independent justification of the deformation parameters used to obtain those energies, the orbital assignment is not yet load-bearing."}],"tokens_in":1461,"tokens_out":569,"duration_ms":27505,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The main point for you is that the authors assign the E1 transition in 276Mt to the proton single-quasiparticle change from [505]9/2 to [615]11/2 and link the one in 272Bh to neutron states, all within a standard noninteracting quasiparticle calculation on Woods-Saxon potentials for the 288Mc chain.\n\nThis is new in the sense that it targets the specific recent experimental chain and gives concrete orbital suggestions. The paper does well by computing the two-quasiparticle excitation energies for several nuclei in the chain, generating the alpha-decay spectra, and showing comparisons to measured data. That kind of targeted calculation can help experimental groups interpret their results.\n\nThe soft spot is the handling of deformation parameters. They consider different sets, but the abstract does not indicate whether these come from independent sources like other calculations or are tuned to the single-particle levels or decay data at hand. In superheavy nuclei the level ordering is sensitive to quadrupole and hexadecapole deformations, so if the sets are chosen to reproduce the energies being discussed, the agreement becomes less of a test and more of a consistency check. The stress-test concern holds up on the information available.\n\nThis paper is for nuclear theorists and experimentalists focused on superheavy odd-odd nuclei and their decay schemes. A reader interested in model applications to new data will get some value from the assignments and spectra.\n\nI think it deserves peer review. The work is focused and the comparisons are there, so referees can check the parameter choices and the quality of the fits.","headline":"The paper assigns specific orbitals to E1 transitions in the 288Mc chain via quasiparticle calculations, but deformation parameters risk circularity if not independently sourced.","tokens_in":2449,"tokens_out":400,"would_cite":false,"duration_ms":29087,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"Noninteracting quasiparticles on Woods-Saxon potentials assign E1 transitions in 276Mt to a specific proton state change and generate alpha-decay spectra for the 288Mc chain that are compared to data.","keywords":["superheavy nuclei","alpha-decay chain","quasiparticle states","Woods-Saxon potential","E1 transitions","288Mc","two-quasiparticle spectra","odd-odd nuclei"],"falsifier":"An experimental measurement of the E1 transition energy or branching ratio in 276Mt that lies far from the calculated energy difference between the π[505]9/2 and π[615]11/2 proton states.","tokens_in":2709,"feed_emoji":"","tokens_out":777,"duration_ms":28595,"temperature":0.7,"pith_summary":"The paper calculates excitation energies of two-quasiparticle states along the alpha-decay chain of 288Mc by applying the noninteracting quasiparticles approximation to Woods-Saxon single-particle potentials, testing different deformation parameter sets. It produces the associated alpha-decay spectra and directly compares those spectra to experimental measurements. The work further considers E1 transitions that can follow alpha decay, relating the ones observed in 276Mt to the proton transition from [505]9/2 to [615]11/2 and the ones in 272Bh to neutron single-quasiparticle states. A reader would care because the results supply concrete assignments that help interpret recent experimental spectra of odd-odd superheavy nuclei.","feed_headline":"Quasiparticle model assigns E1 lines in Mt and Bh to single-particle states","feed_subtitle":"Spectra of two-quasiparticle states along the 288Mc alpha chain are calculated and compared with experiment using Woods-Saxon potentials.","key_machinery":"The noninteracting quasiparticles approximation based on Woods-Saxon single particle potentials, used to compute two-quasiparticle excitation energies and alpha-decay spectra.","core_discovery":"Using the approximation of the noninteracting quasiparticles based on the Woods-Saxon single particle potentials with different sets of deformation parameters, the spectra of the low-lying two-quasiparticle states are calculated for nuclei belonging to the alpha-decay chain of 288Mc. The alpha-decay spectra of these nuclei are obtained and compared with the experimental data. It is shown that the E1 transitions in 276Mt can be related to the transition π[505]9/2→π[615]11/2. In 272Bh the E1 transition can be related to the neutron single quasiparticle states.","pith_inferences":["The same quasiparticle framework could be used to predict unobserved low-lying states in neighboring superheavy chains.","Systematic mismatches with new data would indicate where residual quasiparticle interactions become important.","The transition assignments supply targets for future gamma-spectroscopy measurements on these nuclei."],"forward_implications":["Alpha-decay spectra computed for the full 288Mc chain align with existing experimental data.","The observed E1 transitions in 276Mt are accounted for by the proton single-quasiparticle change from [505]9/2 to [615]11/2.","The E1 transitions in 272Bh are accounted for by neutron single-quasiparticle states.","Varying the deformation parameters shows how the spectra respond to changes in nuclear shape."],"fun_headline_variants":["Quasiparticle spectra tie E1 in Mt to proton states","Model assigns E1 in Bh to neutron quasiparticle states","288Mc decay chain clarifies E1 origins via quasiparticle calc","Woods-Saxon model explains E1 transitions in Mt and Bh"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"The noninteracting quasiparticles approximation with the selected Woods-Saxon potentials and deformation parameters accurately captures the single-particle structure and low-lying excitations in these superheavy nuclei.","fun_headline_variants_meta":{"raw":{"variants":["Quasiparticle spectra tie E1 in Mt to proton states","Model assigns E1 in Bh to neutron quasiparticle states","288Mc decay chain clarifies E1 origins via quasiparticle calc","Woods-Saxon model explains E1 transitions in Mt and Bh"]},"model":"grok-4.3","cost_usd":0.006189,"raw_usage":{"total_tokens":2957,"prompt_tokens":748,"num_sources_used":0,"completion_tokens":71,"cost_in_usd_ticks":61887000,"prompt_tokens_details":{"text_tokens":748,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":2138,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":748,"tokens_out":71,"duration_ms":21344,"temperature":1.0,"reasoning_tokens":2138,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-07-03T04:17:35.840574+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"An experimental measurement of the E1 transition energy or branching ratio in 276Mt that lies far from the calculated energy difference between the π[505]9/2 and π[615]11/2 proton states.","supporting_citations":[],"review_version":1}