Space-Dependent Probabilities for $K^0-\overline{K^0}$ Oscillations

Abstract

We analyze $K^0-\overline{K^0}$ oscillations in space in terms of propagating wave packets with coherent $K_S$ and $K_L$ components. The oscillation probabilities $P_{K^0\to K^0}(x)$ and $P_{K^0\to \overline{K^0}}(x)$ depending only on the distance $x$, are defined through the time integration of a current density $j(x,t)$ . The definition is such that it coincides with the experimental setting, thus avoiding some ambiguities and clarifying some controversies that have been discussed recently.

11 pages, latex