Abstract
We investigate roads for evaluating model-independent cross-section distributions for the sequential hyperon decay $\Sigma^0\rightarrow\Lambda \gamma;\Lambda\rightarrow p\pi^- $ and its corresponding antihyperon decay. The hyperons are produced in the reaction $e^+e^-\rightarrow J/{\psi}\rightarrow \Sigma^0\bar{\Sigma}^0$. Cross-section distributions are calculated using the folding technique.
Highlights
The BESIII experiment [1] is exploring new venues into hyperon physics, based on eþe− annihilation into hyperonantihyperon pairs
In a recent paper [2], we investigated in some detail the reaction eþe− → J=ψ → Σ0Σ 0 and its associated decay chains Σ0 → Λγ; Λ → pπ− and Σ 0 → Λγ; Λ → pπþ
The strength of the lepton-vertex function is determined by a single parameter, the electromagneticfine-structure constant αe, but two complex form factors GψMðsÞ and GψEðsÞ are needed for the baryonic-vertex function
Summary
The BESIII experiment [1] is exploring new venues into hyperon physics, based on eþe− annihilation into hyperonantihyperon pairs. In a recent paper [2], we investigated in some detail the reaction eþe− → J=ψ → Σ0Σ 0 and its associated decay chains Σ0 → Λγ; Λ → pπ− and Σ 0 → Λγ; Λ → pπþ. By measuring this process in the vicinity of the J=ψ-vector-charmonium state, one gains information on the strong baryon-antibaryon-decay process of the J=ψvector-charmonium state and it offers a modelindependent way of measuring weak-decay-asymmetry parameters, that in turn could probe CP symmetry [3]. Our analysis of the cross-section-distribution function for the annihilation reaction eþe− → J=ψ → Σ0Σ 0, followed by its subsequent hyperon decays, starts from the master formula of Ref. The purpose of our investigation is to find out which coordinate choice would be most convenient when evaluating the master formula, and at the same time being able to compare our result to those of others
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