Understanding the mirror asymmetry in Gamow-Teller transition rates between <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mmultiscripts> <mml:mi>Al</mml:mi> <mml:mprescripts/> <mml:none/> <mml:mn>28</mml:mn> </mml:mmultiscripts> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>β</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:mo>)</mml:mo> <mml:mmultiscripts> <mml:mi>Si</mml:mi> <mml:mprescripts/> <mml:none/> <mml:mrow> <mml:mn>28</mml:mn> <mml:mi>m</mml:mi> </mml:mrow> </mml:mmultiscripts> </mml:mrow> </mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mmultiscripts> <mml:mi mathvariant="normal">P</mml:mi> <mml:mprescripts/> <mml:none/> <mml:mn>28</mml:mn> </mml:mmultiscripts> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>β</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:mo>)</mml:mo> <mml:mmultiscripts> <mml:mi>Si</mml:mi> <mml:mprescripts/> <mml:none/> <mml:mrow> <mml:mn>28</mml:mn> <mml:mi>m</mml:mi> </mml:mrow> </mml:mmultiscripts> </mml:mrow> </mml:math>
Bibliographic record
Abstract
The long-standing discrepancy between shell-model and experimental values of the mirror asymmetry in Gamow-Teller transition rates for $^{28}\mathrm{Al}({\ensuremath{\beta}}^{\ensuremath{-}})^{28m}\mathrm{Si}$ and $^{28}\mathrm{P}({\ensuremath{\beta}}^{+})^{28m}\mathrm{Si}$ is partially resolved by integrating the $p$-orbital contribution into the radial mismatch correction term. This approach offers a potential estimate of the radial mismatch-induced core-orbital contribution based on the French-Macfarlane sum rules, avoiding the need for heavy calculations required by the first-principle shell model. Additionally, the isospin-mixing contribution undergoes considerable improvement through scaling the calculated isospin-mixing correction with the experimental energy separation between the lowest two admixed states, in accordance with results from the two-level model.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.005 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.002 | 0.004 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.002 | 0.002 |
| Insufficient payload (model declined to judge) | 0.036 | 0.005 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".