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3.1 Ξ + c → Ξ− π + π + selection criteriaThe secondary vertex is required to have a CL greater than 2% except forType1 Ξ − where we require it to be greater than 10%. For Kink type decayswe require that σ t be less than 0.06 ps and that ISO2 be less than 0.01%. Theadditional cuts are necessary since we cannot make an invariant mass cut onΞ − candidates of this type. We demand that L/σ L be greater than 4.3.2 Ξ + c → Σ+ K − π + selection criteriaIf there is an ambiguity in the Σ + momentum determination we resolve it asfollows. First, we select the higher momentum solution when the differencein the masses calculated using each solution is less than 30 MeV/c 2 . Whenthe difference is greater than 30 MeV/c 2 we reject a solution candidate if theother Ξ + c → Σ + K − π + mass is within 2.5σ of the nominal Ξ + c mass. For asmall fraction of cases this can lead to rejecting or accepting both solutions.Resolving the ambiguity in this way may create a bias and we have studiedthis as a possible source of systematic uncertainty. The CL of the secondaryvertex must be greater than 2% and we require σ t to be less than 0.07 ps. Weask that L/σ L be greater than 7.3.3 Ξ + c → pK− π + selection criteriaWe identify protons by requiring that ∆W p > 10 and that the proton hypothesisis favored over the kaon hypothesis by two units of likelihood i.e.W K − W p > 2. We demand that W p − W K > 0 for the kaon candidate. Forpion candidates we require the momentum to be greater than 5 GeV/c. Thesecondary vertex must have a CL greater than 15% and ISO2 less than 0.01%.To reduce combinatorial background, the Ξ + c candidate momentum is requiredto be less than 120 GeV/c. Long lifetime backgrounds <strong>from</strong> charmed mesons,where one particle is misidentified, are removed by making an invariant masscut. In this way we eliminate contamination <strong>from</strong> the decays D + → K − π + π + ,D + (D + s ) → K− K + π + and D 0 → K + K − . Finally, cuts of σ t less than 0.08 psand L/σ L greater than 7 are applied.3.4 Ξ + c → Λ 0 K − π + π + selection criteriaWe select Λ 0 candidates which decay downstream of the silicon vertex detector.To reduce contamination <strong>from</strong> K S → π + π − decays, we require ∆W p > 8 for5

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