A measurement of branching ratios of $D^+$ and $D^+_s$ hadronic decays   to four-body final states containing a $K_S$

FOCUS collaboration: J. M. Link; et al

arXiv:hep-ex/0105031·hep-ex·November 26, 2008

A measurement of branching ratios of $D^+$ and $D^+_s$ hadronic decays to four-body final states containing a $K_S$

FOCUS collaboration: J. M. Link, et al

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TL;DR

This paper measures branching ratios of specific four-body hadronic decays of D+ and D+s mesons involving K_S, providing new decay mode observations and precise ratio measurements using Fermilab data.

Contribution

It reports the first observation of three new decay modes and provides precise measurements of their branching ratios relative to known decays.

Findings

01

New branching ratio for D+ to K_S K- pi+ pi+

02

First observation of three new decay modes involving K_S

03

Branching ratios with statistical and systematic uncertainties

Abstract

We have studied hadronic four-body decays of $D^{+}$ and $D_{s}^{+}$ mesons with a $K_{S}$ in the final state using data recorded during the 1996-1997 fixed-target run at Fermilab high energy photoproduction experiment FOCUS. We report a new branching ratio measurement of $Γ (D^{+} \to K_{S} K^{-} π^{+} π^{+}) /Γ (D^{+} \to K_{S} π^{+} π^{+} π^{-}) = 0.0768 \pm 0.0041 \pm 0.0032$ . We make the first observation of three new decay modes with branching ratios $Γ (D^{+} \to K_{S} K^{+} π^{+} π^{-}) /Γ (D^{+} \to K_{S} π^{+} π^{+} π^{-}) = 0.0562 \pm 0.0039 \pm 0.0040$ , $Γ (D^{+} \to \K_{S} K^{+} K^{-} π^{+}) /Γ (D^{+} \to K_{S} π^{+} π^{+} π^{-}) = 0.0077 \pm 0.0015 \pm 0.0009$ , and $Γ (D_{s}^{+} \to K_{S} K^{+} π^{+} π^{-}) /Γ (D_{s}^{+} \to K_{S} K^{-} π^{+} π^{+}) = 0.586 \pm 0.052 \pm 0.043$ , where in each case the first error is statistical and the second error is systematic.

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