Single and Double Beta-Decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Q</mml:mi></mml:math>Values among the Triplet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Zr</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>96</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Nb</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>96</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Mo</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>96</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>
Bibliographic record
Abstract
The atomic mass relations among the mass triplet $^{96}\mathrm{Zr}$, $^{96}\mathrm{Nb}$, and $^{96}\mathrm{Mo}$ have been determined by means of high-precision mass measurements using the JYFLTRAP mass spectrometer at the IGISOL facility of the University of Jyv\"askyl\"a. We report $Q$ values for the $^{96}\mathrm{Zr}$ single and double $\ensuremath{\beta}$ decays to $^{96}\mathrm{Nb}$ and $^{96}\mathrm{Mo}$, as well as the $Q$ value for the $^{96}\mathrm{Nb}$ single $\ensuremath{\beta}$ decay to $^{96}\mathrm{Mo}$, which are ${Q}_{\ensuremath{\beta}}(^{96}\mathrm{Zr})=163.96(13)$, ${Q}_{\ensuremath{\beta}\ensuremath{\beta}}(^{96}\mathrm{Zr})=3356.097(86)$, and ${Q}_{\ensuremath{\beta}}(^{96}\mathrm{Nb})=3192.05(16)\text{ }\text{ }\mathrm{keV}$. Of special importance is the $^{96}\mathrm{Zr}$ single $\ensuremath{\beta}$-decay $Q$ value, which has never been determined directly. The single $\ensuremath{\beta}$ decay, whose main branch is fourfold unique forbidden, is an alternative decay path to the $^{96}\mathrm{Zr}$ $\ensuremath{\beta}\ensuremath{\beta}$ decay, and its observation can provide one of the most direct tests of the neutrinoless $\ensuremath{\beta}\ensuremath{\beta}$-decay nuclear-matrix-element calculations, as these can be simultaneously performed for both decay paths with no further assumptions. The theoretical single $\ensuremath{\beta}$-decay rate has been re-evaluated using a shell-model approach, which indicates a $^{96}\mathrm{Zr}$ single $\ensuremath{\beta}$-decay lifetime within reach of an experimental verification. The uniqueness of the decay also makes such an experiment interesting for an investigation into the origin of the quenching of the axial-vector coupling constant ${g}_{A}$.
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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 | 0.003 | 0.006 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.002 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.002 | 0.001 |
| Scholarly communication | 0.006 | 0.005 |
| Open science | 0.002 | 0.002 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.258 | 0.229 |
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".