Salvato in:
| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2410.17559 |
| Tags: |
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Sommario:
- In this work, a formalism is presented for the helicity amplitude analysis of the decays $ψ(2S) \to γ_1 χ_{cJ},~ χ_{cJ} \to γ_2 V (V=ρ^0,~ϕ,~ω)$~(the subscript 1,2 is used to distinguish the two radiative photons), and the polarization expressions of the P-wave charmonia $χ_{cJ}$ and the vector mesons $ρ^0, ϕ, ω$ for experimental measurements at Electron-Positron Collider. In addition, we derive the formulae of the angular distributions of the $χ_{c1,2} \to γV$ to extract the degree of transverse polarization $P_T$ of $e^+ e^-$ pairs with symmetric beam energy as well as the ratios of two helicity amplitudes $x$ (in $χ_{c1}$ decays) and $x,~y$ (in $χ_{c2}$ decays) representing the relative magnitudes of transverse to longitudinal polarization amplitude, and validate it by performing the Monte Carlo simulation. Finally, the statistical sensitivity of $P_T$, $x$ and $y$ are estimated based on the large $ψ(2S)$ data samples collected at the current and proposed future $e^+e^-$ collider experiment.