Polarization analysis in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>e</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> </mml:mrow> </mml:msup> <mml:msup> <mml:mrow> <mml:mi>e</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> </mml:mrow> </mml:msup> <mml:mo stretchy="false">→</mml:mo> <mml:mi>J</mml:mi> <mml:mo>/</mml:mo> <mml:mi>ψ</mml:mi> <mml:mo stretchy="false">→</mml:mo> </mml:mrow> </mml:math> baryon-antibaryon pairs
Bibliographic record
Abstract
We present a comprehensive polarization analysis for the process <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msup> <a:mi>e</a:mi> <a:mo>+</a:mo> </a:msup> <a:msup> <a:mi>e</a:mi> <a:mo>−</a:mo> </a:msup> <a:mo stretchy="false">→</a:mo> <a:mi>J</a:mi> <a:mo>/</a:mo> <a:mi>ψ</a:mi> <a:mo stretchy="false">→</a:mo> </a:math> baryon-antibaryon pairs <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msub> <e:mi>B</e:mi> <e:mn>1</e:mn> </e:msub> <e:msub> <e:mover accent="true"> <e:mi>B</e:mi> <e:mo stretchy="false">¯</e:mo> </e:mover> <e:mn>2</e:mn> </e:msub> </e:math> . All possible helicity amplitudes for <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msup> <i:mi>e</i:mi> <i:mo>+</i:mo> </i:msup> <i:msup> <i:mi>e</i:mi> <i:mo>−</i:mo> </i:msup> <i:mo stretchy="false">→</i:mo> <i:mi>J</i:mi> <i:mo>/</i:mo> <i:mi>ψ</i:mi> </i:math> and <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:mi>J</l:mi> <l:mo>/</l:mo> <l:mi>ψ</l:mi> <l:mo stretchy="false">→</l:mo> <l:msub> <l:mi>B</l:mi> <l:mn>1</l:mn> </l:msub> <l:msub> <l:mover accent="true"> <l:mi>B</l:mi> <l:mo stretchy="false">¯</l:mo> </l:mover> <l:mn>2</l:mn> </l:msub> </l:math> are provided, along with their transformation properties under parity and <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:mi>C</q:mi> <q:mi>P</q:mi> </q:math> operations. Taking full account of beam polarization, we analyze the polarization of the <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:mi>J</s:mi> <s:mo>/</s:mo> <s:mi>ψ</s:mi> </s:math> produced in <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"> <u:msup> <u:mi>e</u:mi> <u:mo>+</u:mo> </u:msup> <u:msup> <u:mi>e</u:mi> <u:mo>−</u:mo> </u:msup> </u:math> annihilation and show that all eight independent polarization components can be nonzero. By introducing a polarization transfer matrix, we propose a novel method to compute the polarization transfer in the decay <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:mi>J</w:mi> <w:mo>/</w:mo> <w:mi>ψ</w:mi> <w:mo stretchy="false">→</w:mo> <w:msub> <w:mi>B</w:mi> <w:mn>1</w:mn> </w:msub> <w:msub> <w:mover accent="true"> <w:mi>B</w:mi> <w:mo stretchy="false">¯</w:mo> </w:mover> <w:mn>2</w:mn> </w:msub> </w:math> . Considering both hadronic and radiative baryon decay models, we derive the joint angular distribution of the final-state particles. Focusing on the process <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"> <bb:mi>J</bb:mi> <bb:mo>/</bb:mo> <bb:mi>ψ</bb:mi> <bb:mo stretchy="false">→</bb:mo> <bb:mi mathvariant="normal">Λ</bb:mi> <bb:msup> <bb:mover accent="true"> <bb:mi mathvariant="normal">Σ</bb:mi> <bb:mo stretchy="false">¯</bb:mo> </bb:mover> <bb:mn>0</bb:mn> </bb:msup> </bb:math> , we provide statistical uncertainty estimates for probing <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"> <ib:mi>C</ib:mi> <ib:mi>P</ib:mi> </ib:math> violation in associated production of different baryons. This work establishes a complete framework for studying the parity and <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:mi>C</kb:mi> <kb:mi>P</kb:mi> </kb:math> violations present in baryon productions and decays within the helicity formalism.
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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 | 0.006 | 0.005 |
| Meta-epidemiology (narrow) | 0.004 | 0.007 |
| Meta-epidemiology (broad) | 0.002 | 0.010 |
| Bibliometrics | 0.002 | 0.008 |
| Science and technology studies | 0.005 | 0.005 |
| Scholarly communication | 0.005 | 0.006 |
| Open science | 0.008 | 0.006 |
| Research integrity | 0.005 | 0.007 |
| Insufficient payload (model declined to judge) | 0.261 | 0.007 |
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".