Extraction of the Landau-Migdal Parameter from the Gamow-Teller Giant Resonance in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Sn</mml:mi></mml:mrow><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>132</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>
Bibliographic record
Abstract
The key parameter to discuss the possibility of the pion condensation in nuclear matter, i.e., the so-called Landau-Migdal parameter ${g}^{\ensuremath{'}}$, was extracted by measuring the double-differential cross sections for the $(p,n)$ reaction at $216\text{ }\text{ }\mathrm{MeV}/\mathrm{u}$ on a neutron-rich doubly magic unstable nucleus, $^{132}\mathrm{Sn}$ with the quality comparable to data taken with stable nuclei. The extracted strengths for Gamow-Teller (GT) transitions from $^{132}\mathrm{Sn}$ leading to $^{132}\mathrm{Sb}$ exhibit the GT giant resonance (GTR) at the excitation energy of $16.3\ifmmode\pm\else\textpm\fi{}0.4(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.4(\mathrm{syst})\text{ }\text{ }\mathrm{MeV}$ with the width of $\mathrm{\ensuremath{\Gamma}}=4.7\ifmmode\pm\else\textpm\fi{}0.8\text{ }\text{ }\mathrm{MeV}$. The integrated GT strength up to ${E}_{x}=25\text{ }\text{ }\mathrm{MeV}$ is ${S}_{\mathrm{GT}}^{\ensuremath{-}}=53\ifmmode\pm\else\textpm\fi{}{5(\mathrm{stat})}_{\ensuremath{-}10}^{+11}(\mathrm{syst})$, corresponding to 56% of Ikeda's sum rule of $3(N\ensuremath{-}Z)=96$. The present result accurately constrains the Landau-Migdal parameter as ${g}^{\ensuremath{'}}=0.68\ifmmode\pm\else\textpm\fi{}0.07$, thanks to the high sensitivity of the GTR energy to ${g}^{\ensuremath{'}}$. In combination with previous studies on the GTR for $^{90}\mathrm{Zr}$ and $^{208}\mathrm{Pb}$, the result of this work shows the constancy of this parameter in the nuclear chart region with $(N\ensuremath{-}Z)/A=0.11$ to 0.24 and $A=90$ to 208.
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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 | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.002 |
| Meta-epidemiology (broad) | 0.001 | 0.003 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.002 | 0.003 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.003 | 0.003 |
| Research integrity | 0.001 | 0.003 |
| Insufficient payload (model declined to judge) | 0.165 | 0.002 |
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".