Refined analysis of Ω^- Ω⁺ polarization in electron-positron annihilation process

2023/12/07 by Zhang, Zhe, Song, Jiao Jiao, Zhou, Ya-jin
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2312.04363

Abstract

We investigate the production of spin-3/2 hyperon pairs, Ω^- Ω⁺, in electron-positron annihilation within the helicity amplitude formalism. A refined selection of helicity basis matrices is proposed to relate polarization expansion coefficients and spin density matrix elements and to illuminate their inherent physical interpretations and symmetrical properties. With a novel parametrization scheme of helicity amplitudes, we perform an analysis of polarization correlation coefficients for double-tag Ω^- Ω⁺ pairs. We present three sets of expressions to describe the decay of Ω^- hyperons, and further address the existing tension in the measurements of its decay parameters, particularly ϕ_Ω. The method and the framework developed in this paper can also be applied to studies of the production and decay mechanisms of other spin-3/2 particles.

Related

• Polarization analysis of two baryons with various spin combinations produced in electron-positron annihilation
• Extraction of Polarization Parameters in the \mathrmp p → Ω Ω Reaction
• Polarization analysis in e⁺e^-→ J/ψ→ baryon-antibaryon pairs
• Search for CP Violations in the Production and Decay of the Hyperon-Antihyperon Pairs
• Spin Density Matrix For Spin-3/2 Particles