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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.09161 |
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Table of Contents:
- We study $χ_{cJ}\to VV$ decays using the QCD effective field theory approach. The helicity suppressed decay amplitudes are also considered. The colour-singlet contributions of these amplitudes suffer from the endpoint singularities, it is shown that they can be absorbed into renormalisation of the nonfactorisable colour-octet matrix element. The latter can be associated with the colour-octet component of the charmonium wave function. The heavy quark spin symmetry makes it possible to establish the relationships between colour-octet matrix elements for different states $χ_{cJ}$ up to higher order corrections in small velocity $v$. This allows us to estimate the polarisation parameters for $χ_{c2}\to VV$ using data for $χ_{c0,1}\to VV$. This analysis is carried out for the available data on the $χ_{cJ}\to ϕϕ$ decays.