Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.11879 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909207164354560 |
|---|---|
| author | Lan, Bo Fan, Xiu-Ping Wang, Ru-Min |
| author_facet | Lan, Bo Fan, Xiu-Ping Wang, Ru-Min |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probing $χ_{cJ}(J=0,1,2)$ decay into baryon and anti-baryon with SU(3) flavor analysis Lan, Bo Fan, Xiu-Ping Wang, Ru-Min High Energy Physics - Phenomenology 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. |
| title | Probing $χ_{cJ}(J=0,1,2)$ decay into baryon and anti-baryon with SU(3) flavor analysis |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.11879 |