Polarization observables in e + e − annihilation to a baryon-antibaryon pair

Using the helicity formalism of Jacob and Wick, we derive spin density matrices of baryon antibaryon pairs produced in e+e− annihilation. We consider the production of pairs with spins 1/2+1/2¯, 1/2+3/2¯ (+c.c.) and 3/2+3/2¯. We provide modular expressions to include chains of weak hadronic two-body...

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Bibliographic Details
Published in:Physical review. D 2019-03, Vol.99 (5), Article 056008
Main Authors: Perotti, Elisabetta, Fäldt, Göran, Kupsc, Andrzej, Leupold, Stefan, Song, Jiao Jiao
Format: Article
Language:English
Subjects:
Baryons
Chains
Decay
Helicity
Hyperons
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Summary:Using the helicity formalism of Jacob and Wick, we derive spin density matrices of baryon antibaryon pairs produced in e+e− annihilation. We consider the production of pairs with spins 1/2+1/2¯, 1/2+3/2¯ (+c.c.) and 3/2+3/2¯. We provide modular expressions to include chains of weak hadronic two-body decays of the produced hyperons. The expressions are suitable for the analysis of high statistics data from J/ψ and ψ(2S) decays at e+e− colliders, by fits to the fully differential angular distributions of the measured particles. We illustrate the method by examples, such as the inclusive measurement of the e+e−→ψ(2S)→Ω−Ω¯+ process where one decay chain Ω−→ΛK− followed by Λ→pπ− is considered. Finally, we show that the inclusive angular distributions can be used to test spin assignment of the produced baryons.
ISSN:2470-0010
2470-0029
2470-0029
DOI:10.1103/PhysRevD.99.056008