<i>Ab initio</i> no-core shell model study of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">B</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>10</mml:mn><mml:mo>–</mml:mo><mml:mn>14</mml:mn></mml:mrow></mml:mmultiscripts></mml:math> isotopes with realistic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math> interactions
Bibliographic record
Abstract
We report a comprehensive study of $^{10--14}\mathrm{B}$ isotopes within the ab initio no-core shell model (NCSM) using realistic nucleon-nucleon ($\mathit{NN}$) interactions. In particular, we have applied the inside nonlocal outside Yukawa (INOY) interaction to study energy spectra, electromagnetic properties, and point-proton radii of the boron isotopes. The NCSM results with the charge-dependent Bonn 2000 (CDB2K), the chiral next-to-next-to-next-to-leading order (${\mathrm{N}}^{3}\mathrm{LO}$), and optimized next-to-next-to-leading order (${\mathrm{N}}^{2}{\mathrm{LO}}_{opt}$) interactions are also reported. We have reached basis sizes up to ${N}_{\mathrm{max}}=10$ for $^{10}\mathrm{B}, {N}_{\mathrm{max}}=8$ for $^{11,12,13}\mathrm{B}$, and ${N}_{\mathrm{max}}=6$ for $^{14}\mathrm{B}$ with $m$-scheme dimensions up to $1.7\ifmmode\times\else\texttimes\fi{}{10}^{9}$. We also compare the NCSM calculations with the phenomenological YSOX interaction using the shell model to test the predictive power of the ab initio nuclear theory. Overall, our NCSM results are consistent with the available experimental data. The experimental ground state spin ${3}^{+}$ of $^{10}\mathrm{B}$ has been reproduced using the INOY $\mathit{NN}$ interaction. Typically, the $3N$ interaction is required to correctly reproduce the aforementioned state.
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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 | 0.003 | 0.003 |
| Meta-epidemiology (narrow) | 0.003 | 0.005 |
| Meta-epidemiology (broad) | 0.001 | 0.005 |
| Bibliometrics | 0.001 | 0.003 |
| Science and technology studies | 0.004 | 0.004 |
| Scholarly communication | 0.003 | 0.004 |
| Open science | 0.006 | 0.007 |
| Research integrity | 0.003 | 0.005 |
| Insufficient payload (model declined to judge) | 0.109 | 0.009 |
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; both teacher heads agree on what is shown here.
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".