- Letter
- Open Access
Scattering observables and correlation function for revisited
Phys. Rev. D 113, L111502 – Published 15 June, 2026
DOI: https://doi.org/10.1103/kk4c-xv4d
Abstract
In view of the recent theoretical developments in the fixed center approximation for the scattering of a particle with a a two-body cluster, implementing elastic unitarity on the standard fixed center formalism, and the imminent availability of ALICE data on the correlation function of the system, we update the results of a previous work for this correlation function and the low-energy scattering observables. The new results show appreciable changes in some observables and should provide valuable input for comparison with the forthcoming experimental data. Such a comparison is expected to yield relevant information on the nature of the axial-vector meson states.
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References (54)
- L. Fabbietti, V. Mantovani Sarti, and O. Vazquez Doce, Study of the strong interaction among hadrons with correlations at the LHC, Annu. Rev. Nucl. Part. Sci. 71, 377 (2021).
- M.-Z. Liu, Y.-W. Pan, Z.-W. Liu, T.-W. Wu, J.-X. Lu, and L.-S. Geng, Three ways to decipher the nature of exotic hadrons: Multiplets, three-body hadronic molecules, and correlation functions, Phys. Rep. 1108, 1 (2025).
- M. Albaladejo, A. Feijoo, J. Nieves, E. Oset, and I. Vidaña, Femtoscopy correlation functions and mass distributions from production experiments, Phys. Rev. D 110, 114052 (2024).
- R. Del Grande, L. Šerkšnytė, L. Fabbietti, V. M. Sarti, and D. Mihaylov, A method to remove lower order contributions in multi-particle femtoscopic correlation functions, Eur. Phys. J. C 82, 244 (2022).
- S. Acharya et al. (ALICE Collaboration), Towards the understanding of the genuine three-body interaction for p–p–p and p–p–, Eur. Phys. J. A 59, 145 (2023).
- S. Acharya et al. (ALICE Collaboration), Study of the p–p– and p–p– dynamics using the femtoscopy technique, Eur. Phys. J. A 59, 298 (2023).
- S. Acharya et al. (ALICE Collaboration), Exploring the strong interaction of three-body systems at the LHC, Phys. Rev. X 14, 031051 (2024).
- E. Garrido, A. Kievsky, M. Gattobigio, M. Viviani, L. E. Marcucci, R. Del Grande, L. Fabbietti, and D. Melnichenko, and correlation functions, Phys. Rev. C 110, 054004 (2024).
- L. Šerkšnytė, S. Kundu, and M. Korwieser (private communication).
- S. Acharya et al. (ALICE Collaboration), Measurement of production in pp collisions at , Phys. Lett. B 866, 139562 (2025).
- F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, and B.-S. Zou, Hadronic molecules, Rev. Mod. Phys. 90, 015004 (2018); 94, 029901(E) (2022).
- S. L. Olsen, T. Skwarnicki, and D. Zieminska, Nonstandard heavy mesons and baryons: Experimental evidence, Rev. Mod. Phys. 90, 015003 (2018).
- H.-X. Chen, W. Chen, X. Liu, and S.-L. Zhu, The hidden-charm pentaquark and tetraquark states, Phys. Rep. 639, 1 (2016).
- Y.-R. Liu, H.-X. Chen, W. Chen, X. Liu, and S.-L. Zhu, Pentaquark and tetraquark states, Prog. Part. Nucl. Phys. 107, 237 (2019).
- A. Ali, J. S. Lange, and S. Stone, Exotics: Heavy pentaquarks and tetraquarks, Prog. Part. Nucl. Phys. 97, 123 (2017).
- M. Karliner, J. L. Rosner, and T. Skwarnicki, Multiquark states, Annu. Rev. Nucl. Part. Sci. 68, 17 (2018).
- F.-K. Guo, C. Hidalgo-Duque, J. Nieves, and M. P. Valderrama, Consequences of heavy quark symmetries for hadronic molecules, Phys. Rev. D 88, 054007 (2013).
- T.-W. Wu, Y.-W. Pan, M.-Z. Liu, and L.-S. Geng, Multi-hadron molecules: Status and prospect, Sci. Bull. 67, 1735 (2022).
- L. Meng, B. Wang, G.-J. Wang, and S.-L. Zhu, Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules, Phys. Rep. 1019, 1 (2023).
- P. Encarnación, A. Feijoo, and E. Oset, Correlation function for the interaction, Phys. Rev. D 111, 114023 (2025).
- M. F. M. Lutz and E. E. Kolomeitsev, On meson resonances and chiral symmetry, Nucl. Phys. A730, 392 (2004).
- L. Roca, E. Oset, and J. Singh, Low lying axial-vector mesons as dynamically generated resonances, Phys. Rev. D 72, 014002 (2005).
- C. Garcia-Recio, L. S. Geng, J. Nieves, and L. L. Salcedo, Low-lying even parity meson resonances and spin-flavor symmetry, Phys. Rev. D 83, 016007 (2011).
- Y. Zhou, X.-L. Ren, H.-X. Chen, and L.-S. Geng, Pseudoscalar meson and vector meson interactions and dynamically generated axial-vector mesons, Phys. Rev. D 90, 014020 (2014).
- L.-S. Geng, X.-L. Ren, Y. Zhou, H.-X. Chen, and E. Oset, -wave interactions in a finite volume and the , Phys. Rev. D 92, 014029 (2015).
- P.-L. Lü and J. He, Hadronic molecular states from the interaction, Eur. Phys. J. A 52, 359 (2016).
- L. L. Foldy, The multiple scattering of waves. 1. General theory of isotropic scattering by randomly distributed scatterers, Phys. Rev. 67, 107 (1945).
- K. A. Brueckner, Multiple scattering corrections to the impulse approximation in the two-body system, Phys. Rev. 89, 834 (1953).
- R. Chand and R. H. Dalitz, Charge-independence in -deuterium capture reactions, Ann. Phys. (N.Y.) 20, 1 (1962).
- R. C. Barrett and A. Deloff, Strong interaction effects in kaonic deuterium, Phys. Rev. C 60, 025201 (1999).
- S. S. Kamalov, E. Oset, and A. Ramos, Chiral unitary approach to the deuteron scattering length, Nucl. Phys. A690, 494 (2001).
- A. Martinez Torres, K. P. Khemchandani, L. Roca, and E. Oset, Few-body systems consisting of mesons, Few Body Syst. 61, 35 (2020).
- L. Roca and E. Oset, A description of the , , , and resonances as multi- states, Phys. Rev. D 82, 054013 (2010).
- B. B. Malabarba, K. P. Khemchandani, A. Martinez Torres, and S.-i. Nam, Strangeness light multiquark baryons, Phys. Rev. D 111, 016021 (2025).
- Z.-W. Liu, J.-X. Lu, and L.-S. Geng, Study of the DK interaction with femtoscopic correlation functions, Phys. Rev. D 107, 074019 (2023).
- N. Ikeno and E. Oset, Correlation function for the interaction and the issue of elastic unitarity, Phys. Rev. D 112, 094019 (2025).
- T. E. O. Ericson and W. Weise, Pions and Nuclei (Clarendon Press, Oxford, UK, 1988).
- R. Seki and K. Masutani, Unified analysis of pionic atoms and low-energy pion nucleus scattering: Phenomenological analysis, Phys. Rev. C 27, 2799 (1983).
- J. Nieves, E. Oset, and C. Garcia-Recio, A theoretical approach to pionic atoms and the problem of anomalies, Nucl. Phys. A554, 509 (1993).
- G. E. Brown and W. Weise, Pion scattering and isobars in nuclei, Phys. Rep. 22, 279 (1975).
- E. van Beveren and G. Rupp, Observed and tentative as the charmed cousins of the light scalar nonet, Phys. Rev. Lett. 91, 012003 (2003).
- T. Barnes, F. E. Close, and H. J. Lipkin, Implications of a DK molecule at 2.32-GeV, Phys. Rev. D 68, 054006 (2003).
- Y.-Q. Chen and X.-Q. Li, A comprehensive four-quark interpretation of , and , Phys. Rev. Lett. 93, 232001 (2004).
- E. E. Kolomeitsev and M. F. M. Lutz, On heavy light meson resonances and chiral symmetry, Phys. Lett. B 582, 39 (2004).
- D. Gamermann, E. Oset, D. Strottman, and M. J. Vicente Vacas, Dynamically generated open and hidden charm meson systems, Phys. Rev. D 76, 074016 (2007).
- F.-K. Guo, P.-N. Shen, and H.-C. Chiang, Dynamically generated 1+ heavy mesons, Phys. Lett. B 647, 133 (2007).
- Z. Yang, G.-J. Wang, J.-J. Wu, M. Oka, and S.-L. Zhu, Novel coupled channel framework connecting the quark model and lattice QCD for the near-threshold states, Phys. Rev. Lett. 128, 112001 (2022).
- M.-Z. Liu, X.-Z. Ling, L.-S. Geng, En-Wang, and J.-J. Xie, Production of and in decays as and molecules, Phys. Rev. D 106, 114011 (2022).
- B. Agatão, P. Brandão, A. Martínez Torres, K. P. Khemchandani, L. M. Abreu, and E. Oset, Correlation functions for and , Eur. Phys. J. C 85, 1136 (2025).
- W.-H. Jia, P.-S. Su, W.-H. Liang, R. Molina, and E. Oset, Superexotic bound state, Phys. Lett. B 875, 140320 (2026).
- W.-H. Jia, J. Song, W.-H. Liang, and E. Oset, Scattering data and correlation function for the interaction, arXiv:2602.16683.
- F. Mandl and G. Shaw, Quantum Field Theory, 2nd ed. (Wiley, Hoboken, NJ, 2010) first published 1984, revised 1993.
- J. Yamagata-Sekihara, J. Nieves, and E. Oset, Couplings in coupled channels versus wave functions in the case of resonances: Application to the two states, Phys. Rev. D 83, 014003 (2011).
- L. Šerkšnytė, First experimental study of axial-vector meson–nucleon interactions using correlations with alice (2026) https://indico.global/event/13943/contributions/143540/attachments/68255/132344/2026-03-24-SQM_f1p_v5.pdf, presentation slides.