{"id":"W4417211708","doi":"10.1103/1dbh-rjjn","title":"Theory for the Rydberg states of helium: Results for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>≤</mml:mo> <mml:mi>n</mml:mi> <mml:mo>≤</mml:mo> <mml:mn>35</mml:mn> </mml:mrow> </mml:math> and comparison with experiments for the singlet and triplet <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>P</mml:mi> </mml:math> states","year":2025,"lang":"en","type":"article","venue":"Physical review. A/Physical review, A","topic":"Atomic and Molecular Physics","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Windsor","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Singlet state; Rydberg formula; Spectrum (functional analysis); Field (mathematics); Excited state","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.002652162,0.001513701,0.00125663,0.0002193794,0.002010122,0.001019295,0.002275561,0.0008401113,0.0006455567],"category_scores_gemma":[0.001345189,0.001777867,0.002998477,0.001134749,0.002125336,0.00115166,0.001820219,0.001671589,0.0004446467],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003441585,"about_ca_system_score_gemma":0.001196652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005459479,"about_ca_topic_score_gemma":0.0001134052,"domain_scores_codex":[0.9897504,0.0006386667,0.002593226,0.002413196,0.002136508,0.002467999],"domain_scores_gemma":[0.9883435,0.004782606,0.002995235,0.002553238,0.0004008313,0.0009245683],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.001912907,0.00101824,0.000005600416,0.004907479,0.002501812,0.00006700919,0.001614741,0.0003423897,0.003221647,0.9193156,0.05258492,0.01250761],"study_design_scores_gemma":[0.005101771,0.003654783,0.00003283839,0.009766459,0.007054213,0.0001922474,0.002916703,0.3410357,0.550217,0.01479145,0.0624366,0.002800298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9480076,0.01840093,0.01334742,0.001553725,0.001231313,0.00073481,0.002219961,0.0003129749,0.01419123],"genre_scores_gemma":[0.9738531,0.01041198,0.002243769,0.002624441,0.001998678,0.005726497,0.002239174,0.0007339405,0.0001684652],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9045242,"threshold_uncertainty_score":0.9997612,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01887722797173416,"score_gpt":0.2903009709093357,"score_spread":0.2714237429376015,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}