Effects of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mn/></mml:math>two body matrix elements on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>M</mml:mi><mml:mn>1</mml:mn><mml:mn/></mml:math>and Gamow-Teller transitions: Isospin decomposition
Bibliographic record
Abstract
We perform calculations for $M1$ transitions and allowed Gamow-Teller (GT) transitions in the even-even titanium isotopes---${}^{44}\mathrm{Ti},$ ${}^{46}\mathrm{Ti},$ and ${}^{48}\mathrm{Ti}.$ We start with the FPD6 interaction. To study the effect of the $T=0$ two-body matrix elements on the $M1$ and GT rates we introduce a second interaction in which all the $T=0$ two-body matrix elements are set equal to zero (A) and a third in which all the $T=0$ two-body matrix elements (B) are set to a constant. For these two interactions the $T=1$ matrix elements are the same as for FPD6. We are thus able to study the effects of the fluctuating $T=0$ matrix elements on $M1$ and GT rates with interactions A and B, and comparing them with the results of using the full FPD6 interaction (C). We find that transition rates are much more sensitive to the details of the $T=0$ interaction than are the spectra of low-lying states of even-even nuclei.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.002 | 0.003 |
| Meta-epidemiology (broad) | 0.002 | 0.004 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.003 | 0.003 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.003 | 0.003 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.002 | 0.007 |
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; both teacher heads agree on what is shown here.
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".