Bell nonlocality and entanglement in $χ_{cJ}$ decays into baryon pair
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| Format: | Preprint |
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2025
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| _version_ | 1866910114534916096 |
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| author | Hong, PengCheng Ping, RongGang Song, WeiMin |
| author_facet | Hong, PengCheng Ping, RongGang Song, WeiMin |
| contents | We present a systematic analysis of Bell nonlocality and entanglement in $χ_{cJ}$($J=0,1,2$) decays into baryon pair($B\bar{B}$), with particular emphasis on their production via the process $e^+e^- \to ψ(2S) \to γχ_{cJ}$ at BESIII. 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 the $B\bar{B}$ pair in $χ_{c2}$ decays is in a separable state, and no indication of Bell inequality violation is observed. We provide complete analytical results for $J=0,1$ and quantitative, uncertainty-aware estimations for $J=2$ based on experimental inputs from BESIII. These results establish the $χ_{cJ}$ system produced via this radiative transition as a novel and promising platform for testing quantum entanglement and Bell nonlocality in high-energy collisions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_22837 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bell nonlocality and entanglement in $χ_{cJ}$ decays into baryon pair Hong, PengCheng Ping, RongGang Song, WeiMin High Energy Physics - Phenomenology High Energy Physics - Experiment Quantum Physics We present a systematic analysis of Bell nonlocality and entanglement in $χ_{cJ}$($J=0,1,2$) decays into baryon pair($B\bar{B}$), with particular emphasis on their production via the process $e^+e^- \to ψ(2S) \to γχ_{cJ}$ at BESIII. 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 the $B\bar{B}$ pair in $χ_{c2}$ decays is in a separable state, and no indication of Bell inequality violation is observed. We provide complete analytical results for $J=0,1$ and quantitative, uncertainty-aware estimations for $J=2$ based on experimental inputs from BESIII. These results establish the $χ_{cJ}$ system produced via this radiative transition as a novel and promising platform for testing quantum entanglement and Bell nonlocality in high-energy collisions. |
| title | Bell nonlocality and entanglement in $χ_{cJ}$ decays into baryon pair |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Quantum Physics |
| url | https://arxiv.org/abs/2512.22837 |