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 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 | 0.002 | 0.005 |
| Meta-epidemiology (narrow) | 0.003 | 0.002 |
| Meta-epidemiology (broad) | 0.002 | 0.003 |
| Bibliometrics | 0.002 | 0.003 |
| Science and technology studies | 0.003 | 0.003 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.005 | 0.003 |
| Research integrity | 0.002 | 0.005 |
| Insufficient payload (model declined to judge) | 0.028 | 0.003 |
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".