Pion Oscillations

TL;DR

This paper proposes a novel method to measure kaon mixing parameters using pion oscillations resulting from specific D meson decays, potentially improving measurements of D meson mixing frequencies.

Contribution

It introduces a new approach to access kaon mixing parameters through pion oscillations in entangled states from D meson decays.

Findings

Pion oscillation frequency is approximately 224 MHz.

Method can refine measurements of D0 meson mixing frequency.

Entangled pion-kaon states enable new parameter extraction.

Abstract

Pions produced via the $D^{+} \to \pi^{+} \overline{K^{0}}$ decay are in an entangled superposition of energy states because the $\overline{K^{0}}$ is not a mass eigenstate. This presents an opportunity to access kaon mixing parameters via $\pi$ decay accompanied by flavor tagged kaons. The pion oscillation frequency is $\Delta m_{K} \frac{m_{K}}{m_{D}}$, about 224 MHz. This method may help refine measurements of $\Delta m_{D^{0}}$ via $B^{+} \to \pi^{+} \overline{D^{0}}$.