Test of Bell Locality Violation in Flavor Entangled Neutral Meson Pair

Abstract

The quasi-spin entanglement of neutral mesons to test the Bell nonlocality is systematically studied. In the case of CP violation, the concrete expression of the Bell inequality for entangled neutral meson pairs is derived. The violation of Bell inequality in the oscillations of $B_d^0-\bar{B}_d^0$, $B_s^0-\bar{B}_s^0$, $D^0-\bar{D}^0$ and $K^0-\bar{K}^0$ meson pair systems are found at certain evolution time including the latest experimental data. Our study is helpful for studying CP-violating involved flavor entanglement and testing Bell inequality violation in the current and future high energy experiment facilities.