Entanglement in joint $\Lambda \bar{\Lambda}$ decay; cont

TL;DR

This paper explores a new approach to analyzing entanglement in joint Lambda and anti-Lambda decay by using three-momentum scalars, aiming to improve clarity over previous relativistically covariant methods.

Contribution

It introduces a method using three-momentum scalars for analyzing decay distributions, potentially simplifying the understanding of entanglement phenomena.

Findings

Potential for more transparent analysis of decay distributions

Reformulation of covariance in terms of three-momentum scalars

Foundation for improved experimental data interpretation

Abstract

We have previously investigated joint $\Lambda \bar{\Lambda}$ decay in the reaction $e^+ e^- \rightarrow \gamma \Lambda(\rightarrow p\pi^-) \bar{\Lambda}(\rightarrow \bar{p}\pi^+)$. The cross-section-distribution functions encountered were relativistically covariant and expressed in terms of scalar products of the four-momentum vectors of the particles involved. In the present, sequel investigation, we show that by working with three-momentum scalars instead results could possibly become more transparant.