Publication

First Measurements of Absolute Branching Fractions of the Xi(0)(c) Baryon at Belle

Olivier Schneider, Yiming Li, Mingkui Wang, Chao Wang, Tagir Aushev, Sun Hee Kim, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Xiao Wang, Lei Li
2019
Journal Articles

Abstract

We present the first measurements of absolute branching fractions of Xi(0)(c) decays into Xi(-)pi(+), Lambda K-pi(+), and pK(-)K(-)pi(+) final states. The measurements are made using a dataset comprising (772 +/- 11) x 10(6) B (B) over bar pairs collected at the (sic)(4S) resonance with the Belle detector at the KEKB e(+)e(-)collider. We first measure the absolute branching fraction for B- -> (Lambda) over bar (-)(c)Xi(0)(c) using a missing-mass technique; the result is B(B- -> (Lambda) over bar (-)(c)Xi(0)(c)) = (9.51 +/- 2.10 +/- 0.88) x 10(-4). We subsequently measure the product branching fractions B(B- -> (Lambda) over bar (-)(c)Xi(0)(c))B(Xi(0)(c) -> Xi(-)pi(+)), B(B- -> (Lambda) over bar (-)(c)Xi(0)(c))B(Xi(0)(c) -> Lambda K-pi(+)), and B(B- -> (Lambda) over bar (-)(c)Xi(0)(c))B(Xi(0)(c) -> pK(-)K(-)pi(+)) with improved precision. Dividing these product branching fractions by the result for B- -> (Lambda) over bar (-)(c)Xi(0)(c) yields the following branching fractions: B(Xi(0)(c) -> Xi(-)pi(+)) = (1.80 +/- 0.50 +/- 0.14)%, B(Xi(0)(c) -> Lambda K-pi(+)) = (1.17 +/- 0.37 +/- 0.09)%, and B(Xi(0)(c) -> pK(-)K(-)pi(+) ) = 0.58 +/- 0.23 +/- 0.05)%. For the above branching fractions, the first uncertainties are statistical and the second are systematic. Our result for B(Xi(0)(c) -> Xi(-)pi(+)) can be combined with Xi(0)(c) branching fractions measured relative to Xi(0)(c) -> Xi(-)pi(+) to yield other absolute Xi(0)(c) branching fractions.

Official source

Olivier Schneider, Yiming Li, Mingkui Wang, Chao Wang, Tagir Aushev, Sun Hee Kim, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Xiao Wang, Lei Li
2019
Journal Articles

Abstract

Official source

Related concepts (14)

Generalized continued fraction

In complex analysis, a branch of mathematics, a generalized continued fraction is a generalization of regular continued fractions in canonical form, in which the partial numerators and partial denominators can assume arbitrary complex values. A generalized continued fraction is an expression of the form where the an (n > 0) are the partial numerators, the bn are the partial denominators, and the leading term b0 is called the integer part of the continued fraction.

Measure (mathematics)

In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude, mass, and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context. Measures are foundational in probability theory, integration theory, and can be generalized to assume negative values, as with electrical charge.

Outer measure

In the mathematical field of measure theory, an outer measure or exterior measure is a function defined on all subsets of a given set with values in the extended real numbers satisfying some additional technical conditions. The theory of outer measures was first introduced by Constantin Carathéodory to provide an abstract basis for the theory of measurable sets and countably additive measures.

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