Speaker
Description
I will present a theoretical evaluation of coupled-spin entanglement in the two-proton (2p) radioactive emission [1]. For this purpose, a time-dependent three-body model is utilized [2].
Spin entanglement has been evaluated in terms of the coupled-spin correlation S_{CHSH} for the two fermions. Here this S_{CHSH} is so-called Clauser-Horne-Shimony-Holt (CHSH) indicator. For the two protons produced in the 2H + p --> 2He + n reaction by Sakai et. al. [3], this quantity was measured as S_{CHSH} ∼= 2.82. This is in agreement ith the non-local quantum mechanics and beyond the local-hidden-variable (LHV) theory. After this experimental success, the spin entanglement can be one measurable quantity to probe the nuclear structures and interactions.
In this work, the time-dependent calculation is performed to predict that S_{CHSH} ~= 2.65 in the 6 Be nucleus [1]: the 2p-spin entanglement beyond the LHV theory is suggested. This entanglement is sensitive to the proton-proton interaction: the short-lived, and thus, broad-width 2p-emitting state has the weaker spin entanglement. In parallel, the core-proton interactions do not harm this entanglement during the time-dependent decaying process. The sensitivity of SCHSH to the initial state, especially whether the diproton correlation exists or not, will be discussed in this contribution.
[1] T. Oishi, arXiv: 2407.11136 (2024).
[2] T. Oishi, M. Kortelainen, and A. Pastore, Phys. Rev. C 96, 044327 (2017).
[3] H. Sakai et. al., Phys. Rev. Lett. 97, 150405 (2006).
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| Are you a student or postdoc? | yes |
