<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mn>2</mml:mn><mml:mn>1</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:math> to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mn>3</mml:mn><mml:mn>1</mml:mn><mml:mo>+</mml:mo></mml:msubsup><mml:mo> </mml:mo><mml:mi>γ</mml:mi></mml:math> width in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Na</mml:mi><mml:mprescripts/><mml:none/><mml:mn>22</mml:mn></mml:mmultiscripts></mml:math> and second class currents
Bibliographic record
Abstract
Background: A previous measurement of the $\ensuremath{\beta}\text{\ensuremath{-}}\ensuremath{\gamma}$ directional coefficient in $^{22}\mathrm{Na}\phantom{\rule{4pt}{0ex}}\ensuremath{\beta}$ decay was used to extract recoil-order form factors. The data indicate the requirement of a significant induced-tensor matrix element for the decay. This conclusion largely relies on a standard-model-allowed weak magnetism form factor which was determined using an unpublished value of the analog ${2}_{1}^{+}\ensuremath{\rightarrow}{3}_{1}^{+}$ $\ensuremath{\gamma}$ branch in $^{22}\mathrm{Na}$, with the further assumption that the transition is dominated by its isovector $M1$ component.Purpose: Our aim is to determine the ${2}_{1}^{+}\ensuremath{\rightarrow}{3}_{1}^{+}$ width in $^{22}\mathrm{Na}$ in order to obtain an independent measurement of the weak magnetism form factor for the $\ensuremath{\beta}$ decay.Methods: A $^{21}\mathrm{Ne}(p,\ensuremath{\gamma})$ resonance reaction on an implanted target was used to produce the first ${2}^{+}$ state in $^{22}\mathrm{Na}$ at ${E}_{x}=1952$ keV. Deexcitation $\ensuremath{\gamma}$ rays were registered with two 100% relative efficiency high purity germanium detectors.Results: We obtain for the first time an unambiguous determination of the ${2}_{1}^{+}\ensuremath{\rightarrow}{3}_{1}^{+}$ branch in $^{22}\mathrm{Na}$ to be $0.45(8)%$.Conclusions: Using the conserved vector current (CVC) hypothesis, our branch determines the weak magnetism form factor for $^{22}\mathrm{Na}\phantom{\rule{4pt}{0ex}}\ensuremath{\beta}$ decay to be $|b/A{c}_{1}|=8.9(1.2)$. Together with the $\ensuremath{\beta}\text{\ensuremath{-}}\ensuremath{\gamma}$ angular correlation coefficient, we obtain a large induced-tensor form factor for the decay that continues to disagree with theoretical predictions. Two plausible explanations are suggested.
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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 | 0.009 | 0.007 |
| Meta-epidemiology (narrow) | 0.007 | 0.012 |
| Meta-epidemiology (broad) | 0.004 | 0.011 |
| Bibliometrics | 0.003 | 0.006 |
| Science and technology studies | 0.011 | 0.010 |
| Scholarly communication | 0.010 | 0.009 |
| Open science | 0.014 | 0.016 |
| Research integrity | 0.009 | 0.013 |
| Insufficient payload (model declined to judge) | 0.027 | 0.019 |
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".