Categorizing $SU(3)_f$ representations of scalar mesons by $J/ψ$ decays
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917787830583296 |
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| author | Geng, Chao-Qiang Liu, Chia-Wei Yu, Xiao Zhou, Ao-Wen |
| author_facet | Geng, Chao-Qiang Liu, Chia-Wei Yu, Xiao Zhou, Ao-Wen |
| contents | The scalar mesons are established for a long time, but their nature is still an open question. In this paper, we investigate the potential of categorizing their $SU(3)_f$ representations via $J/ψ\to SV$ and $γS$, offering a criterion that may illuminate this issue. Here, $S$ ($V$) denotes scalar (vector) mesons. Using the $SU(3)_f$ symmetry with the current data, we find that $f_0(500)$ and $f_0(980)$ are mostly made of singlet and octet $SU(3)_f$ representations, respectively, with the singlet-octet mixing angle of $θ= (82.9\pm4.4)^{\circ}$. This conclusion is consistent with the caculations of the quark-antiquark ($q\bar{q}$) hypothesis. For the scalar mesons in the range of 1-2 GeV, we discuss the mixings between $q\bar{q}$ and glueballs. Our numerical results suggest that $f_0(1710)$ is likely composed of the scalar glueball. We urge our experimental colleagues to measure $J/ψ\to ρa_0(980,\ 1450,\ 1710), $ $ K^*(892)^{\pm} K^*(700,\ 1430,\ 1950)^{\mp}$ and $ωf_0(500)$, which provide useful information in the $SU(3)_f$ analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07701 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Categorizing $SU(3)_f$ representations of scalar mesons by $J/ψ$ decays Geng, Chao-Qiang Liu, Chia-Wei Yu, Xiao Zhou, Ao-Wen High Energy Physics - Phenomenology High Energy Physics - Experiment The scalar mesons are established for a long time, but their nature is still an open question. In this paper, we investigate the potential of categorizing their $SU(3)_f$ representations via $J/ψ\to SV$ and $γS$, offering a criterion that may illuminate this issue. Here, $S$ ($V$) denotes scalar (vector) mesons. Using the $SU(3)_f$ symmetry with the current data, we find that $f_0(500)$ and $f_0(980)$ are mostly made of singlet and octet $SU(3)_f$ representations, respectively, with the singlet-octet mixing angle of $θ= (82.9\pm4.4)^{\circ}$. This conclusion is consistent with the caculations of the quark-antiquark ($q\bar{q}$) hypothesis. For the scalar mesons in the range of 1-2 GeV, we discuss the mixings between $q\bar{q}$ and glueballs. Our numerical results suggest that $f_0(1710)$ is likely composed of the scalar glueball. We urge our experimental colleagues to measure $J/ψ\to ρa_0(980,\ 1450,\ 1710), $ $ K^*(892)^{\pm} K^*(700,\ 1430,\ 1950)^{\mp}$ and $ωf_0(500)$, which provide useful information in the $SU(3)_f$ analysis. |
| title | Categorizing $SU(3)_f$ representations of scalar mesons by $J/ψ$ decays |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2403.07701 |