On the molecular nature of the $Ω_c(3120)$ and its analogy with the $Ω(2012)$
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| author | Ikeno, Natsumi Liang, Wei-Hong Oset, Eulogio |
| author_facet | Ikeno, Natsumi Liang, Wei-Hong Oset, Eulogio |
| contents | We make a study of the $Ω_c(3120)$, one of the five $Ω_c$ states observed by the LHCb collaboration, which is well reproduced as a molecular state from the $Ξ^*_c \bar K$ and $Ω^*_c η$ channels mostly. The state with $J^P = 3/2^-$ decays to $Ξ_c \bar K$ in $D$-wave and we include this decay channel in our approach, as well as the effect of the $Ξ^*_c$ width. With all these ingredients, we determine the fraction of the $Ω_c(3120)$ width that goes into $Ξ_c π\bar K$, which could be a measure of the $Ξ^*_c \bar K$ molecular component, but due to a relatively big binding, compared to its analogous $Ω(2012)$ state, we find only a small fraction of about 3%, which makes this measurement difficult with present statistics. As an alternative, we evaluate the scattering length and effective range of the $Ξ^*_c \bar K$ and $Ω^*_c η$ channels which together with the binding and width of the $Ω_c(3120)$ state, could give us an answer to the issue of the compositeness of this state when these magnitudes are determined experimentally, something feasible nowadays, for instance, measuring correlation functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13732 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the molecular nature of the $Ω_c(3120)$ and its analogy with the $Ω(2012)$ Ikeno, Natsumi Liang, Wei-Hong Oset, Eulogio High Energy Physics - Phenomenology We make a study of the $Ω_c(3120)$, one of the five $Ω_c$ states observed by the LHCb collaboration, which is well reproduced as a molecular state from the $Ξ^*_c \bar K$ and $Ω^*_c η$ channels mostly. The state with $J^P = 3/2^-$ decays to $Ξ_c \bar K$ in $D$-wave and we include this decay channel in our approach, as well as the effect of the $Ξ^*_c$ width. With all these ingredients, we determine the fraction of the $Ω_c(3120)$ width that goes into $Ξ_c π\bar K$, which could be a measure of the $Ξ^*_c \bar K$ molecular component, but due to a relatively big binding, compared to its analogous $Ω(2012)$ state, we find only a small fraction of about 3%, which makes this measurement difficult with present statistics. As an alternative, we evaluate the scattering length and effective range of the $Ξ^*_c \bar K$ and $Ω^*_c η$ channels which together with the binding and width of the $Ω_c(3120)$ state, could give us an answer to the issue of the compositeness of this state when these magnitudes are determined experimentally, something feasible nowadays, for instance, measuring correlation functions. |
| title | On the molecular nature of the $Ω_c(3120)$ and its analogy with the $Ω(2012)$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.13732 |