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Correlation function for the nD¯s0*(2317) interaction and the issue of elastic unitarity

Natsumi Ikeno1,* and Eulogio Oset2,3,†

  • 1Graduate School of Maritime Sciences, Kobe University, Kobe 658-0022, Japan
  • 2Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Apartado 22085, E-46071 Valencia, Spain
  • 3Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, Guilin 541004, China

  • *Contact author: ikeno@maritime.kobe-u.ac.jp
  • †Contact author: Eulogio.Oset@ific.uv.es
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Phys. Rev. D 112, 094019 – Published 12 November, 2025

DOI: https://doi.org/10.1103/bb31-rdjb

Abstract

We study the interaction of a neutron with the D¯s0*(2317) resonance and look at the amplitude below threshold and close above threshold. The study is done from the perspective that the Ds0*(2317) resonance is a molecular state of DK in I=0. To study this interaction, we use the fixed center approximation to Faddeev equations that considers the DK 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 nD¯s0*(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 πΣD¯. The ALICE collaboration has initiated studies of this type, by looking at the pf1(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.

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Phys. Rev. D 112, 094019– Published 12 November, 2025
  • Received 25 July 2025
  • Accepted 21 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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