<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>α</mml:mi> </mml:math> decay law of excited nuclei and its role in stellar decay rates
Bibliographic record
Abstract
$\ensuremath{\alpha}$ decay is one of the prominent decay modes in the nucleosynthesis of heavy and superheavy elements synthesized at temperatures of the order of gigakelvin. To facilitate the investigation of the role played by the $\ensuremath{\alpha}$ decay half-lives of thermally excited nuclei in nucleosynthesis calculations, an empirical formula based on a model for the $\ensuremath{\alpha}$ decay of nuclei in their ground and excited states to daughter nuclei in their ground or excited states is presented. Constants appearing in the analytical expression for the $\ensuremath{\alpha}$ decay half-life obtained within the model are treated as adjustable parameters and fitted to experimental data on 342 $\ensuremath{\alpha}$ decays in the range of 82 $\ensuremath{\le}{Z}_{p}\ensuremath{\le}$ 94, to obtain an excitation energy-dependent decay law. Under the assumption that thermal equilibrium has been reached between nuclear states, temperature ($T$) dependent half-lives, ${t}_{1/2}(T)$, for several of the experimentally studied $\ensuremath{\alpha}$ emitters with 65 $\ensuremath{\le}{Z}_{p}\ensuremath{\le}$ 94 are presented using available data on the half-lives of excited nuclei. Though the general trend is a decrease in ${t}_{1/2}(T)$ at elevated temperatures, exceptional cases with increased half-lives are found in the case of some isomeric states. A list of such isomers provided in this paper motivates future work involving considerations of their thermal equilibration and role in shaping kilonova light curves.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.003 | 0.003 |
| Open science | 0.003 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.377 | 0.246 |
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".