Mass-correction-induced enhancement of quantum correlations even beyond entanglement in the $e^{+}e^{-} \rightarrow J/ψ\rightarrow Λ(pπ^{-}) \barΛ(\bar{p}π^{+})$ process at the BESIII experiment under memory effects

Abstract

In this work, we derive the bipartite density matrix for the $e^{+}e^{-} \rightarrow J/ψ\rightarrow Λ(pπ^{-}) \barΛ(\bar{p}π^{+})$ process at BESIII. We evaluate the impact of mass corrections and memory effects (within Markovian and non-Markovian regimes) on quantum correlations even beyond entanglement. The dependence of these quantum properties on the scattering angle $\varphi$ is analyzed, with a particular focus on the impact of mass corrections. By comparing massless and mass-corrected scenarios, we demonstrate that the inclusion of mass effects enhances the maximum violation of the Bell inequality. While the qualitative temporal behavior remains unchanged, mass corrections quantitatively modify the angular distribution and introduce additional extrema at $\varphi=0$ and $\varphi=π$, thereby strengthening non-local correlations without altering their fundamental dynamical origin. An examination of the hierarchy of quantum correlations in baryon-antibaryon systems yields partial confirmation: $\text{Bell Nonlocality} \subset \text{Steering} \subset \text{Entanglement} \subset \text{Discord}$. Additionally, our results show that classical correlations serve to mitigate the decoherence and the decay of quantum correlations. This interplay between classical and quantum correlations suggests practical applications in quantum information and provides a robust framework for investigating baryon-antibaryon interactions.

Figures (19)

• Figure 1: (a) Schematic representation of the process $e^{+}e^{-} \to J/\psi \to \Lambda(p\pi^{-}),\bar{\Lambda}(\bar{p}\pi^{+})$. (b) The orientation of the coordinate axes $\{\mathbf{\hat{x}}, \mathbf{\hat{y}}, \mathbf{\hat{z}}\}$, established in the mutual rest frame of the $\Lambda$ and $\bar{\Lambda}$ pair.
• Figure 2: We investigate four distinct types of quantum correlations—Bell nonlocality, steering, concurrence, and quantum discord—as functions of the scattering angle $\varphi$ in the process $e^{+}e^{-} \rightarrow J/\psi \rightarrow \Lambda(p\pi^{-}) \overline{\Lambda}(\bar{p}\pi^{+})$. The results are presented for two cases: (a) without mass corrections and (b) in the presence of mass corrections.
• Figure 3: Schematic illustration of the quantum evolution of $\Lambda\bar{\Lambda}$ pairs in Markovian and Non-Markovian environments.
• Figure 4: Evolution of $\mathtt{B}(\varrho_{\Lambda\bar{\Lambda}})$ under different environmental memory effects: (a) the Markovian case ($\tau = 0.2$) and (b) the non-Markovian case ($\tau = 20$), with mass corrections omitted and $\mu = 0.8$.
• Figure 5: The effect of mass corrections on the time evolution of the Bell non-locality $\mathtt{B}(\varrho^{\rm (m)}_{\Lambda\bar{\Lambda}})$ is illustrated for $\mu = 0.8$ in two regimes: (a) Markovian ($\tau = 0.2$) and (b) non-Markovian ($\tau = 5$).