The $Ω_c \to π^+ \, (π^0,\, η)\, πΞ^*$ reactions and the two $Ξ(1820)$ states
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arXiv
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| Format: | Preprint |
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2024
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| author | Liang, Wei-Hong Molina, Raquel Oset, Eulogio |
| author_facet | Liang, Wei-Hong Molina, Raquel Oset, Eulogio |
| contents | We have studied the $Ω_c \to π^+ (π^0, η) πΞ^*$ decays, where the final $πΞ^*$ comes from the decay of two resonances around the nominal $Ξ(1820)$, which are generated from the interaction of coupled channels made of a pseudoscalar and a baryon of the decuplet. The $πΞ^*$ mass distributions obtained in the six different reactions studied are quite different and we single out four of them, which are free of a tree level contribution, showing more clearly the effect of the resonances. The lower mass resonance is clearly seen as a sharp peak, but the higher mass resonance manifests itself through an interference with the lower one that leads to a dip in the mass distribution around $1850 \, {\rm MeV}$. Such a feature is similar to the dip observed in the $s$-wave $ππ$ cross section around the $980 \, {\rm MeV}$ coming from the interference of the $f_0(500)$ and $f_0(980)$ resonances. Its observation in coming upgrades of present facilities will shed light on the existence of these two resonances and their nature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18882 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The $Ω_c \to π^+ \, (π^0,\, η)\, πΞ^*$ reactions and the two $Ξ(1820)$ states Liang, Wei-Hong Molina, Raquel Oset, Eulogio High Energy Physics - Phenomenology We have studied the $Ω_c \to π^+ (π^0, η) πΞ^*$ decays, where the final $πΞ^*$ comes from the decay of two resonances around the nominal $Ξ(1820)$, which are generated from the interaction of coupled channels made of a pseudoscalar and a baryon of the decuplet. The $πΞ^*$ mass distributions obtained in the six different reactions studied are quite different and we single out four of them, which are free of a tree level contribution, showing more clearly the effect of the resonances. The lower mass resonance is clearly seen as a sharp peak, but the higher mass resonance manifests itself through an interference with the lower one that leads to a dip in the mass distribution around $1850 \, {\rm MeV}$. Such a feature is similar to the dip observed in the $s$-wave $ππ$ cross section around the $980 \, {\rm MeV}$ coming from the interference of the $f_0(500)$ and $f_0(980)$ resonances. Its observation in coming upgrades of present facilities will shed light on the existence of these two resonances and their nature. |
| title | The $Ω_c \to π^+ \, (π^0,\, η)\, πΞ^*$ reactions and the two $Ξ(1820)$ states |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.18882 |