Salvato in:
| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2405.11879 |
| Tags: |
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Sommario:
- With the accurate measurements of $χ_{cJ}(J=0,1,2)$ charmonium decays, we explore $χ_{cJ}\to \mathcal{B}_{8}\bar{\mathcal{B}}_{8}$ and $\mathcal{B}_{10}\bar{\mathcal{B}}_{10}$ decays based on the SU(3) flavor symmetry model, where $\mathcal{B}_{8}$ and $\mathcal{B}_{10}$ are light octet and decuplet baryons, respectively. The decay amplitude relations are determined by an effective interaction Hamiltonian. Then using experimental data and the amplitude relations of $χ_{cJ}\to \mathcal{B}_{8}\bar{\mathcal{B}}_{8}$, $\mathcal{B}_{10}\bar{\mathcal{B}}_{10}$ decays, relative nonperturbative coefficients are constrained, and the branching ratios of unmeasured $χ_{cJ}\to \mathcal{B}_{8}\bar{\mathcal{B}}_{8},\mathcal{B}_{10}\bar{\mathcal{B}}_{10}$, for examples, $χ_{cJ}\to n\bar{n}$ and $χ_{cJ}\toΛ\barΣ^{0}+\barΛ Σ^{0}$ channels, are predicted. Moreover, we discuss the case of adding a mixing angle between $Λ$ and $Σ^{0}$, which is determined by the quark mass differences. Our results provide valuable insights that will aid in advancing our understanding of the mechanisms and characteristics of $χ_{cJ}$ decays.