Shell-model tests of the bimodal partial state densities in a 2 × 2 partitioned embedded random matrix ensemble
Bibliographic record
Abstract
The mixing of well-separated subspacesof an interacting many-particle system,such as a nucleus with active nucleons distributed in more than one major shell,can be studied usingpartitioned embedded ensembles of random matrices. The bimodalform of partial state densities (one-point functions) predictedearlier for a 2 × 2 partitioned embedded ensemble, whichmay be regarded as a model for the mixing of two well-separated degeneratesubspaces, is tested using nuclear shell-model calculations in the[(ds) 6 ⊕ (ds) 4 (f 7/2 ) 2 ] J=0,T=0 space. Thetheoretical forms predicted by the binary correlationapproximation theory are in good agreement with the shell-modelresults. This suggests that with suitable extensions it might be feasibleto use the binary correlation method to deal with severalinteracting subspaces involving multimodal distributions.PACS Nos.: 05.30.-d, 05.45.Mt, 24.60.Lz
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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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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".