Direct Measurements of the Branching Fractions for Inclusive $K^\pm$ and Inclusive Semileptonic Decays of $D^+$ and $D^0$ Mesons

TL;DR

This paper reports precise measurements of the inclusive decay branching fractions of $D^+$ and $D^0$ mesons into kaons and semileptonic channels, providing key data for understanding charm meson decays.

Contribution

The study provides the first detailed measurements of inclusive $K^\pm$ and semileptonic decay branching fractions for $D^+$ and $D^0$ mesons using BESII data.

Findings

Measured $BF(D^+ o K^-X)$ = (24.7 ± 1.3 ± 1.2)%

Measured $BF(D^0 o K^-X)$ = (57.8 ± 1.6 ± 3.2)%

Determined the ratio of partial widths $rac{\Gamma(D^+ o e^+X)}{\Gamma(D^0 o e^+X)}$ = 0.95 ± 0.12 ± 0.07

Abstract

With singly-tagged $\bar D$ samples selected from the data collected at and around 3.773 GeV with the BESII detector at the BEPC collider, we have measured the branching fractions for the inclusive $K^\pm$ decays of $D^+$ and $D^0$ mesons, which are $BF(D^+\to K^-X) = (24.7 \pm 1.3 \pm 1.2)%$, $BF(D^+\to K^+X) = (6.1 \pm 0.9 \pm 0.4) %$, $BF(D^0\to K^-X) = (57.8 \pm 1.6 \pm 3.2) %$ and $BF(D^0\to K^+X) = (3.5 \pm 0.7 \pm 0.3) %$, respectively. We have also measured the branching fractions for the inclusive semileptonic decays of $D^+$ and $D^0$ mesons to be $BF(D^+ \to e^+ X)=(15.2 \pm 0.9 \pm 0.8)%$ and $BF(D^0 \to e^+ X) =(6.3 \pm 0.7 \pm 0.4) %$. These yield the ratio of their partial widths to be $\Gamma(D^+ \to e^+X)/\Gamma(D^0 \to e^+X)=0.95 \pm 0.12 \pm 0.07$.