Testing the nature of the Σ * ( 1430 )
Year: 2025
Type: article
Abstract: We study the feasibility of having the Σ * ( 1430 ) state, predicted within the chiral unitary approach and recently reported by the Belle Collaboration, as corresponding to a state of a nonmolecular nature. Starting from this assumption, since the state is observed in the π Λ channel, we allow the coupling to this state and relate the coupling to K ¯ N and π Σ using S U ( 3 ) symmetry arguments. We find that it is possible to have such a state with negligible coupling to the molecular components with a bare mass of the state very close to the physical mass of the Σ * ( 1430 ) . Yet this has consequences on other observables, since the width obtained is extremely small and incompatible with the Belle observations, and it leads to abnormally large values of the K ¯ N effective range. Conversely, such mismatches do not appear for large values of the bare mass of the state, but in this case, we observe that the state develops large molecular components. While one can rule out a largely nonmolecular nature for this state, its properties and detailed nature will need further experimental developments which one can anticipate will be coming in the near future.
DOI: 10.1103/qpcf-d9k3
Authors: Jia-Xin Lin, Jing Song, Miguel Albaladejo, Albert Feijoo, Eulogio Oset
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funders: Strong, European Commission, National Natural Science Foundation of China, China Postdoctoral Science Foundation, Ministerio de Economía y Competitividad, Generalitat Valenciana, China Scholarship Council, Ministerio de Ciencia e Innovación, Horizon 2020 Framework Programme, European Regional Development Fund
Awards: G1038765033, G1151712903, G14744916, G1570660777, G1831862684, G1948941634, G2020188330, G2088816128, G3049825657, G3111662533, G3142173218, G3249761471, G341721890, The strong interaction at the frontier of knowledge: fundamental research and applications, G3871196663, G4301024709, G434337789, G4774512024, G4937468798, G5828615680, G680252854, G7451223319, G905342561
OpenAlex ID: W4411721838