Toward precise<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>values for the superallowed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mn>0</mml:mn><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mn>0</mml:mn><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>β</mml:mi></mml:mrow></mml:math>decays of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>nuclides: The masses of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Na</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>20</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Al</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>24</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">P</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>28</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Cl</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>32</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>
Bibliographic record
Abstract
High-precision measurements of superallowed ${0}^{+}\ensuremath{\rightarrow}{0}^{+}$ $\ensuremath{\beta}$ decays of $T=2$ nuclides such as $^{20}\mathrm{Mg}$, $^{24}\mathrm{Si}$, $^{28}\mathrm{S}$, and $^{32}\mathrm{Ar}$ can contribute to searches for physics beyond the standard model of particle physics if the ${Q}_{\mathrm{EC}}$ values are accurate to a few keV or better. As a step toward providing precise ${Q}_{\mathrm{EC}}$ values for these decays, the ground-state masses of the respective daughter nuclei $^{20}\mathrm{Na}$, $^{24}\mathrm{Al}$, $^{28}\mathrm{P}$, and $^{32}\mathrm{Cl}$ have been determined by measuring the ($^{3}\mathrm{He},t$) reactions leading to them with the $^{36}\mathrm{Ar}$($^{3}\mathrm{He},t$)$^{36}\mathrm{K}$ reaction as a calibration. A quadrupole-dipole-dipole-dipole (Q3D) magnetic spectrograph was used together with thin ion-implanted carbon-foil targets of $^{20}\mathrm{Ne}$, $^{24}\mathrm{Mg}$, $^{28}\mathrm{Si}$, $^{32}\mathrm{S}$, and $^{36}\mathrm{Ar}$. The masses of $^{20}\mathrm{Na}$ and $^{32}\mathrm{Cl}$ are found to be in good agreement with the values from the 2003 Atomic Mass Evaluation (AME03) [G. Audi, A. H. Wapstra, and C. Thibault, Nucl. Phys. A 729, 337 (2003)], and the precision has been improved by a factor of 6 in both cases. The masses of $^{24}\mathrm{Al}$ and $^{28}\mathrm{P}$ are found to be higher than the values from AME03 by 9.5 keV ($3.2\ensuremath{\sigma}$) and 11.5 keV ($3.6\ensuremath{\sigma}$), respectively, and the precision has been improved by a factor of 2.5 in both cases. The new $^{32}\mathrm{Cl}$ mass is used together with the excitation energy of its lowest $T=2$ level and the mass of $^{32}\mathrm{Ar}$ to derive an improved superallowed ${Q}_{\mathrm{EC}}$ value of 6087.3(22) keV for this case. The effects on quantities related to standard-model tests including the $\ensuremath{\beta}$-$\ensuremath{\nu}$ correlation coefficient $a$ and the isospin-symmetry-breaking correction ${\ensuremath{\delta}}_{C}$ are examined for the $A=32$ case.
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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 | 0.014 | 0.013 |
| Meta-epidemiology (narrow) | 0.009 | 0.016 |
| Meta-epidemiology (broad) | 0.004 | 0.017 |
| Bibliometrics | 0.004 | 0.008 |
| Science and technology studies | 0.013 | 0.015 |
| Scholarly communication | 0.014 | 0.014 |
| Open science | 0.019 | 0.020 |
| Research integrity | 0.016 | 0.016 |
| Insufficient payload (model declined to judge) | 0.271 | 0.015 |
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".