Spin-flavor entanglement in $Λ_b \to ΛD$ and weak phase extraction
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918493727752192 |
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| author | Du, Yong Geng, Chao-Qiang He, Xiao-Gang Liu, Chia-Wei Liu, Sheng-Lin Liu, Xin-Yi |
| author_facet | Du, Yong Geng, Chao-Qiang He, Xiao-Gang Liu, Chia-Wei Liu, Sheng-Lin Liu, Xin-Yi |
| contents | We identify a new spin-flavor entanglement structure in $Λ_b\toΛD$ decays, formed by the correlation between the $Λ$ spin and the $D$ flavor states ($D=D^0,\overline D^0,D_1,D_2$). The entanglement information is encoded in the decay rates and Lee-Yang parameters of the four neutral-$D$ modes. We then show that the same spin-flavor structure provides a new method to determine the weak phase $γ$, a key angle of the Cabibbo-Kobayashi-Maskawa unitarity triangle. We find that the experimental uncertainty scales as $σ_γ\propto 1/{\cal C}$, where ${\cal C}$ is the Wootters concurrence, thereby quantitatively relating the precision of the weak-phase extraction to the amount of spin-flavor entanglement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09682 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spin-flavor entanglement in $Λ_b \to ΛD$ and weak phase extraction Du, Yong Geng, Chao-Qiang He, Xiao-Gang Liu, Chia-Wei Liu, Sheng-Lin Liu, Xin-Yi High Energy Physics - Phenomenology High Energy Physics - Experiment We identify a new spin-flavor entanglement structure in $Λ_b\toΛD$ decays, formed by the correlation between the $Λ$ spin and the $D$ flavor states ($D=D^0,\overline D^0,D_1,D_2$). The entanglement information is encoded in the decay rates and Lee-Yang parameters of the four neutral-$D$ modes. We then show that the same spin-flavor structure provides a new method to determine the weak phase $γ$, a key angle of the Cabibbo-Kobayashi-Maskawa unitarity triangle. We find that the experimental uncertainty scales as $σ_γ\propto 1/{\cal C}$, where ${\cal C}$ is the Wootters concurrence, thereby quantitatively relating the precision of the weak-phase extraction to the amount of spin-flavor entanglement. |
| title | Spin-flavor entanglement in $Λ_b \to ΛD$ and weak phase extraction |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2605.09682 |