Beam-polarization-enabled witness of four-dimensional entanglement in Ω-Ω̅+ pairs
Abstract
We study the entanglement structure of Ω-Ω̅+ pairs produced in e+e-→ψ(3686), focusing on whether the entanglement requires the full four-dimensional spin space of each spin-3/2 baryon. Beam polarization controls the parent-state populations and coherence, thereby modifying helicity interference. Using the negativity criterion Neg>1 and the measured BESIII helicity parameters, we find critical polarizations of about $0.65$ per beam for equal transverse polarization and $0.57$ per beam for equal-and-opposite longitudinal polarization. Full transverse polarization gives a near-maximal peak negativity, Negpeak≃1.50, with a production-rate-weighted angular fraction of $0.60$ satisfying the witness. At the optimal production directions, destructive interference removes the unequal-helicity channels, while the near equality of the relevant equal-helicity amplitudes yields nearly equal Schmidt coefficients. Constituent-quark benchmarks further show that the angular extent of the witness is more sensitive to relative phases than the peak negativity. These results link polarization-controlled helicity interference to four-dimensional entanglement in high-spin baryon production.
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BibTeX
@misc{zhang2026beampolarizationenabled,
title = {{Beam-polarization-enabled witness of four-dimensional entanglement in $Ω^-\barΩ^+$ pairs}},
author = {Qiu-Yan Zhang and Peng-Cheng Hong and Wei-Min Song},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32419},
eprint = {2609.32419},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32419},
}
RIS
TY - UNPB
TI - Beam-polarization-enabled witness of four-dimensional entanglement in Ω^-Ω̅^+ pairs
AU - Qiu-Yan Zhang
AU - Peng-Cheng Hong
AU - Wei-Min Song
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2609.32419
UR - https://arxiv.org/abs/2609.32419
AB - We study the entanglement structure of Ω^-Ω̅^+ pairs produced in e^+e^-→ψ(3686), focusing on whether the entanglement requires the full four-dimensional spin space of each spin-3/2 baryon. Beam polarization controls the parent-state populations and coherence, thereby modifying helicity interference. Using the negativity criterion Neg>1 and the measured BESIII helicity parameters, we find critical polarizations of about $0.65$ per beam for equal transverse polarization and $0.57$ per beam for equal-and-opposite longitudinal polarization. Full transverse polarization gives a near-maximal peak negativity, Neg_peak≃1.50, with a production-rate-weighted angular fraction of $0.60$ satisfying the witness. At the optimal production directions, destructive interference removes the unequal-helicity channels, while the near equality of the relevant equal-helicity amplitudes yields nearly equal Schmidt coefficients. Constituent-quark benchmarks further show that the angular extent of the witness is more sensitive to relative phases than the peak negativity. These results link polarization-controlled helicity interference to four-dimensional entanglement in high-spin baryon production.
ER -