Correlation function for the n D ¯ s 0 * ( 2317 ) interaction and the issue of elastic unitarity

Year: 2025

Type: article

Abstract: We study the interaction of a neutron with the D ¯ s 0 * ( 2317 ) resonance and look at the amplitude below threshold and close above threshold. The study is done from the perspective that the D s 0 * ( 2317 ) resonance is a molecular state of D K in I = 0 . To study this interaction, we use the fixed center approximation to Faddeev equations that considers the D K molecule as the cluster and the neutron as the external particle. We improve the fixed center approach to implement elastic unitarity around threshold, which is needed to obtain scattering parameters and to evaluate the n D ¯ s 0 * ( 2317 ) correlation function that we determine here. One interesting result of the study is the appearance of a resonant state below threshold with a binding of about 130 MeV and a width of about 80 MeV, which we suggest to look at in reactions measuring the invariant mass of π Σ D ¯ . The ALICE collaboration has initiated studies of this type, by looking at the p f 1 ( 1285 ) correlation function, and we can only encourage work in this direction, which should provide much valuable information on the nature of many resonant states.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/bb31-rdjb

Authors: Natsumi Ikeno, Eulogio Oset

Institutions: Kobe University, Guangxi Normal University, Instituto de Física Corpuscular

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Strong, European Commission, Federación Española de Enfermedades Raras, Ministerio de Economía y Competitividad, Generalitat Valenciana, Ministerio de Ciencia e Innovación, Horizon 2020 Framework Programme, Japan Society for the Promotion of Science

OpenAlex ID: W4414415152