Testing the molecular nature of the $$\Omega (2012)$$ Ω ( 2012 ) with the $$\psi (3770) \rightarrow \bar{\Omega } \bar{K} \Xi $$ ψ ( 3770 ) → Ω ¯ K ¯ Ξ and $$\psi (3770) \rightarrow \bar{\Omega } \bar{K} \Xi ^*(1530) (\bar{\Omega } \bar{K} \pi \Xi )$$ ψ ( 3770 ) → Ω ¯ K ¯ Ξ ∗ ( 1530 ) ( Ω ¯ K ¯ π Ξ ) reactions

Abstract We report on the reactions $$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K} \Xi $$ ψ ( 3770 ) → Ω ¯ + K ¯ Ξ and $$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*(1530) \;(\Xi ^*(1530)\rightarrow \pi \Xi $$ ψ ( 3770 ) → Ω ¯ + K ¯ Ξ ∗ ( 1530 ) ( Ξ ∗ ( 1530 ) → π Ξ ), and calculate the ma...

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Bibliographic Details
Main Authors: Jing Song, Wei-Hong Liang, Chu-Wen Xiao, Jorgivan Morais Dias, Eulogio Oset
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13710-9
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Summary:Abstract We report on the reactions $$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K} \Xi $$ ψ ( 3770 ) → Ω ¯ + K ¯ Ξ and $$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*(1530) \;(\Xi ^*(1530)\rightarrow \pi \Xi $$ ψ ( 3770 ) → Ω ¯ + K ¯ Ξ ∗ ( 1530 ) ( Ξ ∗ ( 1530 ) → π Ξ ), and calculate the mass distributions $$\frac{\textrm{d}\Gamma }{\textrm{d}M_\text {inv}(\bar{K}\Xi )}$$ d Γ d M inv ( K ¯ Ξ ) and $$\frac{\textrm{d}\Gamma }{\textrm{d}M_\text {inv}(\bar{K}\Xi ^*)}$$ d Γ d M inv ( K ¯ Ξ ∗ ) , respectively. We obtain clear peaks corresponding to the $$\Omega (2012)$$ Ω ( 2012 ) . From the decay of $$\psi (3770)\rightarrow \bar{\Omega }^+ \bar{K}\Xi ^*$$ ψ ( 3770 ) → Ω ¯ + K ¯ Ξ ∗ , we also get a second, broader, peak around $$2035\,\mathrm MeV$$ 2035 M e V , which comes from the $$\Omega (2012)$$ Ω ( 2012 ) decay to $$\bar{K}\Xi ^*$$ K ¯ Ξ ∗ . This second peak is closely tied to the molecular picture of the $$\Omega (2012)$$ Ω ( 2012 ) with the $$\bar{K}\Xi ^*(1530)$$ K ¯ Ξ ∗ ( 1530 ) and $$\eta \Omega $$ η Ω components. Its observation would provide a boost to the molecular picture of the $$\Omega (2012)$$ Ω ( 2012 ) .
ISSN:1434-6052