Multi-meson model applied to D → hhh


  • Patricia Magalhaes ITA (Instituto Tecnológico da Aeronáutica), BR
  • A.C. dos Reis Centro Brasileiro de Pesquisas F´ısicas
  • M.R. Robilotta Instituto de F´ısica, Universidade de Sao Paulo



Meson-meson interaction, three-body decay, hadronic decays, unitary amplitudes


In this work, we discuss a new phenomenological model suited to all SU(3) mesonic two-body final-state interactions up to energies around 2 GeV to replace the standard isobar model. We show that the new model provides a clear indication of the mechanism responsible for the sharp rise observed in the ππ phase around 1 GeV. The phenomenological amplitudes proposed here are suited to any number of resonances, incorporate chiral symmetry at low energies, include coupled channels, and respect unitarity.


R. Aoude, P. Magalhaes, A. Dos Reis and M. Robilotta, Multimeson model for the D + → K+K−K+ decay amplitude, Phys. Rev. D 98 (2018) 056021

R. Aaij et al. [LHCb],Dalitz plot analysis of the D + → K−K+K+ decay, JHEP 04 (2019) 063

P. C. Magalhaes, A. C. dos Reis and M. R. Robilotta, Multibody decay analyses: A new phenomenological model for mesonmeson subamplitudes, Phys. Rev. D 102 (2020) 076012

J. Gasser and H. Leutwyler,Chiral Perturbation Theory to One Loop, Ann. Phys. 158 (1984) 142

J. Gasser and H. Leutwyler, Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark, Nucl. Phys. B 250 (1985) 465

G. Ecker, J. Gasser, A. Pich and E. De Rafael, The Role of Resonances in Chiral Perturbation Theory, Nucl. Phys. B 321 (1989) 311




How to Cite

Magalhaes P, dos Reis A, Robilotta M. Multi-meson model applied to D → hhh. Supl. Rev. Mex. Fis. [Internet]. 2022 May 25 [cited 2022 Dec. 7];3(3):0308070 1-6. Available from: