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Spin-flavor entanglement in $\Lambda_b \to \Lambda D$ and weak phase extraction

23 Jun 2026, 15:50
20m
Tsung-Dao Lee Institute/S5F-S511 - Meetingroom (Tsung-Dao Lee Institute)

Tsung-Dao Lee Institute/S5F-S511 - Meetingroom

Tsung-Dao Lee Institute

20
Parallel Session Parallel Session 1

Speaker

chiawei Liu

Description

We identify a new spin--flavor entanglement structure in $\Lambda_b\to\Lambda D$ decays, formed by the correlation between the $\Lambda$ spin and the neutral-$D$ 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 $\gamma$, a key angle of the Cabibbo-Kobayashi-Maskawa unitarity triangle. We find that the experimental uncertainty scales as $\sigma_\gamma\propto 1/{\cal C}$, where ${\cal C}$ is the Wootters concurrence, thereby quantitatively relating the precision of the weak-phase extraction to the amount of spin-flavor entanglement.

Primary authors

Chao-Qiang Geng (Hangzhou Institute for Advanced Study, UCAS) Mr Sheng-Lin Liu (HIAS,UCAS) Xiao-Gang He Yong Du (IMP CAS) chiawei Liu

Presentation materials