Faddeev calculation of 3 alpha and alpha alpha Lambda systems using alpha alpha resonating-group method kernels
Bibliographic record
Abstract
We carry out Faddeev calculations of three-alpha $(3\ensuremath{\alpha})$ and two-alpha plus $\ensuremath{\Lambda}$ $(\ensuremath{\alpha}\ensuremath{\alpha}\ensuremath{\Lambda})$ systems, using two-cluster resonating-group method kernels. The input includes an effective two-nucleon force for the $\ensuremath{\alpha}\ensuremath{\alpha}$ resonating-group method and a new effective $\ensuremath{\Lambda}N$ force for the $\ensuremath{\Lambda}\ensuremath{\alpha}$ interaction. The latter force is a simple two-range Gaussian potential for each spin-singlet and triplet state, generated from the phase-shift behavior of the quark-model hyperon-nucleon interaction, fss2, by using an inversion method based on supersymmetric quantum mechanics. Owing to the exact treatment of the Pauli-forbidden states between two $\ensuremath{\alpha}$ clusters, the present three-cluster Faddeev formalism can describe the mutually related, $\ensuremath{\alpha}\ensuremath{\alpha}$, $3\ensuremath{\alpha}$, and $\ensuremath{\alpha}\ensuremath{\alpha}\ensuremath{\Lambda}$ systems, in terms of a unique set of the baryon-baryon interactions. For the three-range Minnesota force which describes the $\ensuremath{\alpha}\ensuremath{\alpha}$ phase shifts quite accurately, the ground-state and excitation energies of $_{\ensuremath{\Lambda}}^{9}\mathrm{Be}$ are reproduced within $100--200\phantom{\rule{0.3em}{0ex}}\mathrm{keV}$ accuracy.
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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 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".