Speaker
Description
I theoretically investigate the spin correlations in two-proton emissions from $^{6}$Be and $^{16}$Ne.
Clauser-Horne-Shimony-Holt (CHSH) inequality is one essential property of quantum-entangled states.
This inequality was introduced by John Clauser et al. for the proof of Bell theorem, which claims that certain consequence of quantum mechanics cannot be reproduced by the local-hidden-variable (LHV) theory.
By introducing the spin correlation $S_{\rm CHSH}$, the limit of LHV theory is given as $-2 \leq S_{\rm CHSH} \leq 2$.
In my contribution, by using the time-dependent three-body model,
the $S_{\rm CHSH}$ is evaluated for the emitted pair of protons from $^{6}$Be and $^{16}$Ne.
As a result, a strong spin correlation beyond the LHV limit has been suggested: $| S_{\rm CHSH}| \ge 2$.
Sensitivity of $S_{\rm CHSH}$ to the proton-proton interaction, sequential-or-democratic setting, and the initial ($t=0$) state of protons will be discussed.
Publications:
[1] T. Oishi, PLB 862, 139361 (2025).
[2] T. Oishi and M. Kimura, PLB 877, 140439 (2026).