Electron emission and recoil effects following the beta decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mtext>He</mml:mtext><mml:mprescripts/><mml:none/><mml:mn>6</mml:mn></mml:mmultiscripts></mml:math>
Bibliographic record
Abstract
Probabilities for atomic electron excitation (shake-up) and ionization (shake-off) are studied following the beta-decay process $^{6}\text{He}\ensuremath{\rightarrow}^{6}\text{Li}^{+}+{e}^{\ensuremath{-}}+{\overline{\ensuremath{\nu}}}_{e}$, and in particular, recoil-induced contributions to the shake-off probability are calculated within the nonrelativistic sudden approximation. A pseudostate expansion method together with Stieltjes imaging is used to represent the complete two-electron spectrum of final $^{6}\text{Li}^{+},^{6}\text{Li}^{2+}$, and $^{6}\text{Li}^{3+}$ states. Results for the recoil correction show a $7\ensuremath{\sigma}$ disagreement with the experiment of Carlson et al. [Phys. Rev. 129, 2220 (1963)]. A variety of sum rules, including a newly derived Thomas-Reich-Kuhn oscillator strength sum rule for dipole recoil terms, provides tight constraints on the accuracy of the results. Calculations are performed for the helium $1s2s\phantom{\rule{0.16em}{0ex}}^{3}S$ metastable state, as well as for the $1{s}^{2}\phantom{\rule{0.16em}{0ex}}^{1}S$ ground state. Our results would reduce the recoil-induced correction to the measured electroneutrino coupling constant ${a}_{e\ensuremath{\mu}}$ from the apparent 0.6% used in the experiments to 0.09%.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.002 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.000 | 0.001 |
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 teacher head, 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".