Effective proton-neutron interaction near the drip line from unbound states in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">F</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>25</mml:mn><mml:mo>,</mml:mo><mml:mn>26</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>
Why this work is in the frame
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Bibliographic record
Abstract
Background: Odd-odd nuclei, around doubly closed shells, have been extensively used to study proton-neutron interactions. However, the evolution of these interactions as a function of the binding energy, ultimately when nuclei become unbound, is poorly known. The $^{26}\mathrm{F}$ nucleus, composed of a deeply bound $\ensuremath{\pi}0{d}_{5/2}$ proton and an unbound $\ensuremath{\nu}0{d}_{3/2}$ neutron on top of an $^{24}\mathrm{O}$ core, is particularly adapted for this purpose. The coupling of this proton and neutron results in a ${J}^{\ensuremath{\pi}}={1}_{1}{}^{+}\ensuremath{-}{4}_{1}{}^{+}$ multiplet, whose energies must be determined to study the influence of the proximity of the continuum on the corresponding proton-neutron interaction. The ${J}^{\ensuremath{\pi}}={1}_{1}{}^{+},\phantom{\rule{0.16em}{0ex}}{2}_{1}{}^{+},\phantom{\rule{0.16em}{0ex}}{4}_{1}{}^{+}$ bound states have been determined, and only a clear identification of the ${J}^{\ensuremath{\pi}}={3}_{1}{}^{+}$ is missing.Purpose: We wish to complete the study of the ${J}^{\ensuremath{\pi}}={1}_{1}{}^{+}\ensuremath{-}{4}_{1}{}^{+}$ multiplet in $^{26}\mathrm{F}$, by studying the energy and width of the ${J}^{\ensuremath{\pi}}={3}_{1}{}^{+}$ unbound state. The method was first validated by the study of unbound states in $^{25}\mathrm{F}$, for which resonances were already observed in a previous experiment.Method: Radioactive beams of $^{26}\mathrm{Ne}$ and $^{27}\mathrm{Ne}$, produced at about $440A\phantom{\rule{0.16em}{0ex}}\mathrm{MeV}$ by the fragment separator at the GSI facility were used to populate unbound states in $^{25}\mathrm{F}$ and $^{26}\mathrm{F}$ via one-proton knockout reactions on a ${\mathrm{CH}}_{2}$ target, located at the object focal point of the ${\mathrm{R}}^{3}\mathrm{B}$/LAND setup. The detection of emitted $\ensuremath{\gamma}$ rays and neutrons, added to the reconstruction of the momentum vector of the $A\ensuremath{-}1$ nuclei, allowed the determination of the energy of three unbound states in $^{25}\mathrm{F}$ and two in $^{26}\mathrm{F}$.Results: Based on its width and decay properties, the first unbound state in $^{25}\mathrm{F}$, at the relative energy of 49(9) keV, is proposed to be a ${J}^{\ensuremath{\pi}}=1/{2}^{\ensuremath{-}}$ arising from a ${p}_{1/2}$ proton-hole state. In $^{26}\mathrm{F}$, the first resonance at 323(33) keV is proposed to be the ${J}^{\ensuremath{\pi}}={3}_{1}{}^{+}$ member of the ${J}^{\ensuremath{\pi}}={1}_{1}{}^{+}\ensuremath{-}{4}_{1}{}^{+}$ multiplet. Energies of observed states in $^{25,26}\mathrm{F}$ have been compared to calculations using the independent-particle shell model, a phenomenological shell model, and the ab initio valence-space in-medium similarity renormalization group method.Conclusions: The deduced effective proton-neutron interaction is weakened by about 30--40% in comparison to the models, pointing to the need for implementing the role of the continuum in theoretical descriptions or to a wrong determination of the atomic mass of $^{26}\mathrm{F}$.
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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 | 0.002 | 0.002 |
| Meta-epidemiology (narrow) | 0.002 | 0.002 |
| Meta-epidemiology (broad) | 0.001 | 0.003 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.004 | 0.003 |
| Scholarly communication | 0.004 | 0.003 |
| Open science | 0.004 | 0.004 |
| Research integrity | 0.001 | 0.004 |
| Insufficient payload (model declined to judge) | 0.027 | 0.005 |
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 it