Excluding Local Hidden Variables in $Λ\barΛ$ Production: The Incompatibility with Angular-Momentum Conservation and CPT Invariance
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908781193986048 |
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| author | Pei, Junle Wu, Lina Li, Tianjun Hao, Xiqing |
| author_facet | Pei, Junle Wu, Lina Li, Tianjun Hao, Xiqing |
| contents | We analyze spin entanglement in $Λ\barΛ$ pairs produced in the decays of scalar ($h$) and pseudoscalar ($a$) particles, contrasting predictions from quantum field theory (QFT) with those of local hidden-variable theories (LHVTs). Using the self-analyzing weak decays $Λ\to pπ^-$ and $\barΛ \to \bar{p}π^+$, we derive the joint angular distributions within QFT. Our key findings are: For scalar production $h \to Λ\barΛ$, no LHVT respecting locality and angular-momentum conservation can reproduce the QFT distribution. For pseudoscalar production $a \to Λ\barΛ$, a CPT-symmetric LHVT is excluded by positivity constraints given the measured analyzing powers; however, if CPT symmetry is relaxed, an explicit LHVT construction, with uniform hidden-variable measure and response functions satisfying $b_1 c_1 = 3α_Λα_{\barΛ}$, can match the QFT result. These distinct signatures provide clear, experimentally testable criteria to discriminate between QFT and LHVT in $Λ\barΛ$ systems across different production mechanisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15747 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Excluding Local Hidden Variables in $Λ\barΛ$ Production: The Incompatibility with Angular-Momentum Conservation and CPT Invariance Pei, Junle Wu, Lina Li, Tianjun Hao, Xiqing High Energy Physics - Phenomenology We analyze spin entanglement in $Λ\barΛ$ pairs produced in the decays of scalar ($h$) and pseudoscalar ($a$) particles, contrasting predictions from quantum field theory (QFT) with those of local hidden-variable theories (LHVTs). Using the self-analyzing weak decays $Λ\to pπ^-$ and $\barΛ \to \bar{p}π^+$, we derive the joint angular distributions within QFT. Our key findings are: For scalar production $h \to Λ\barΛ$, no LHVT respecting locality and angular-momentum conservation can reproduce the QFT distribution. For pseudoscalar production $a \to Λ\barΛ$, a CPT-symmetric LHVT is excluded by positivity constraints given the measured analyzing powers; however, if CPT symmetry is relaxed, an explicit LHVT construction, with uniform hidden-variable measure and response functions satisfying $b_1 c_1 = 3α_Λα_{\barΛ}$, can match the QFT result. These distinct signatures provide clear, experimentally testable criteria to discriminate between QFT and LHVT in $Λ\barΛ$ systems across different production mechanisms. |
| title | Excluding Local Hidden Variables in $Λ\barΛ$ Production: The Incompatibility with Angular-Momentum Conservation and CPT Invariance |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.15747 |