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Correlation function for the pf1(1285) interaction

P. Encarnación1, A. Feijoo2, and E. Oset1,3

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Phys. Rev. D 111, 114023 – Published 20 June, 2025

DOI: https://doi.org/10.1103/s7g4-6lmv

Abstract

We have addressed here the problem of calculating the correlation function of a stable particle with a resonance, in particular one resonance that qualifies as a molecular state of two components. The formalism used requires us to evaluate the scattering matrix of the stable particle with the molecule, a nuclear problem which we address by means of the fixed center approximation. We have applied the method to the interaction of a proton with the f1(1285) resonance, presently under investigation by the ALICE collaboration, where the f1(1285) is taken as a K*K¯−K¯*K molecule. We find that the pf1(1285) interaction develops a resonance state below the pf1(1285) threshold, which leads to a depletion in the pf1(1285) correlation function for small values of the proton momentum. The discussion presented shows that these type of studies can provide much information on the nature of some resonances and the existence of three-body bound states involving mesons and baryons.

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Phys. Rev. D 111, 114023– Published 20 June, 2025
  • Received 3 March 2025
  • Accepted 30 May 2025
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