Bell nonlocality and entanglement in $χ_{cJ}$ decays into baryon pair
- URL: http://arxiv.org/abs/2512.22837v1
- Date: Sun, 28 Dec 2025 08:40:25 GMT
- Title: Bell nonlocality and entanglement in $χ_{cJ}$ decays into baryon pair
- Authors: PengCheng Hong, RongGang Ping, WeiMin Song,
- Abstract summary: We present a systematic analysis of Bell nonlocality and entanglement in $_cJ$ decays into baryon pair.<n>From the baryon-antibaryon spin density matrix, we construct measurable Bell observables and concurrence.<n>The results indicate that the $_cJ$ system is a novel platform for testing quantum entanglement in high-energy collisions.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present a systematic analysis of Bell nonlocality and entanglement in $χ_{cJ}$ decays into baryon pair ($B\bar{B}$) ($J=0,1,2$). From the baryon-antibaryon spin density matrix, we construct measurable Bell observables and concurrence, revealing a striking hierarchy of quantum correlations: $χ_{c0}$ decays exhibit maximal violation and entanglement; $χ_{c1}$ decays violate Bell inequalities for $θ_1 \in (0, π)$ with angle-modulated strength; we find that $B\bar B$ in $χ_{c2}$ decays is in separable state, and no indication is found for the Bell inequality violation. We provide complete analytical results for $J=0,1$ and quantitative, uncertainty-aware estimations for $J=2$ using experimental inputs. The results indicates that the $χ_{cJ}$ system as a novel platform for testing quantum entanglement in high-energy collisions.
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