Precision Measurement of the Mass of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>h</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mmultiscripts><mml:mi>P</mml:mi><mml:mn>1</mml:mn><mml:none/><mml:mprescripts/><mml:none/><mml:mn>1</mml:mn></mml:mmultiscripts><mml:mo stretchy="false">)</mml:mo></mml:math>State of Charmonium
Bibliographic record
Abstract
A precision measurement of the mass of the ${h}_{c}(^{1}P_{1})$ state of charmonium has been made using a sample of $24.5\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $\ensuremath{\psi}(2S)$ events produced in ${e}^{+}{e}^{\ensuremath{-}}$ annihilation at the Cornell Electron Storage Ring (CESR). The reaction used was $\ensuremath{\psi}(2S)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{h}_{c}$, ${\ensuremath{\pi}}^{0}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}$, ${h}_{c}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}_{c}$, and the reaction products were detected in the CLEO-c detector. Data have been analyzed both for the inclusive reaction and for the exclusive reactions in which ${\ensuremath{\eta}}_{c}$ decays are reconstructed in 15 hadronic decay channels. Consistent results are obtained in the two analyses. The averaged results of the present measurements are $M({h}_{c})=3525.28\ifmmode\pm\else\textpm\fi{}\phantom{\rule{0ex}{0ex}}0.19(\mathrm{stat}.)\ifmmode\pm\else\textpm\fi{}0.12(\mathrm{syst}.)\text{ }\text{ }\mathrm{MeV}$, and $\mathcal{B}\mathbf{(}\ensuremath{\psi}(2S)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{h}_{c}\mathbf{)}\ifmmode\times\else\texttimes\fi{}\mathcal{B}({h}_{c}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}_{c})=(4.19\ifmmode\pm\else\textpm\fi{}0.32\ifmmode\pm\else\textpm\fi{}0.45)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$. Using the $^{3}P_{J}$ centroid mass, $\ensuremath{\Delta}{M}_{hf}(1P)\ensuremath{\equiv}⟨M({\ensuremath{\chi}}_{cJ})⟩\ensuremath{-}M({h}_{c})=+0.02\ifmmode\pm\else\textpm\fi{}0.19\ifmmode\pm\else\textpm\fi{}0.13\text{ }\text{ }\mathrm{MeV}$.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.002 | 0.003 |
| Meta-epidemiology (broad) | 0.001 | 0.005 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.003 | 0.005 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.005 | 0.005 |
| Research integrity | 0.002 | 0.003 |
| Insufficient payload (model declined to judge) | 0.018 | 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".