Systematics of log<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e137152" altimg="si218.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math> values for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e137160" altimg="si102.svg"><mml:mi>β</mml:mi></mml:math>−, and EC/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e137165" altimg="si102.svg"><mml:mi>β</mml:mi></mml:math>＋ transitions
Bibliographic record
Abstract
This work is an update of the 1998 publication by B. Singh et al. \cite{Singh1998} and reviews the log\,$ft$ values for all the known $\beta$-decay branches ($\beta$-, $\beta$+/EC). Furthermore, an update of all $Q$-values (from AME2020 \cite{Wang2021}), as well as a recalculation of all the log\,$ft$ values (through BetaShape code \cite{2015MO10,Mou19}) has been conducted using relevant data in the ENSDF database, as well as in newer literature. Only those cases, where the beta transition occurs between levels of single assignments of spins and parities have been considered in this review. Weak $\beta$ branches of $<$1\,\% intensity in complex decay schemes have generally been omitted. Out of a total of 26\,318 $\beta$ transitions extracted from the ENSDF database and current literature, data for only 4\,039 $\beta$ transitions survived the filtering criteria in the present review. The log\,$ft$ values in $\beta$ decay, spanning about 21 orders of magnitude, have been classified into allowed and forbidden categories according to the classification scheme of Konopinski \cite{Konopinski1941}. All log\,$ft$ values have been deduced using the BetaShape code with new developments presented in this study. A very few number of log\,$ft$ values for very low-energy beta transitions ($<$5\,keV) survived the cut criteria and are briefly discussed in terms of atomic overlap corrections. Also tabulated and briefly discussed are seven superallowed cases with $\Delta$T=0, T$_z$(parent)=-2, while a known case for $^{28}$S to $^{28}$P has been omitted as reliable EC/$\beta$+ feeding to the analog state in $^{28}$P cannot be assigned due to lack of adequate experimental and detailed data for this decay. Centroid, width, minimum and maximum values for each category have been deduced. Uncertainties have been estimated and are also given. For literature coverage in the present review, see discussion in text.
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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 | 0.008 | 0.050 |
| Meta-epidemiology (narrow) | 0.001 | 0.002 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.014 | 0.012 |
| Science and technology studies | 0.003 | 0.001 |
| Scholarly communication | 0.005 | 0.007 |
| Open science | 0.002 | 0.004 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.128 | 0.108 |
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".