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Limits to the fixed center approximation to Faddeev equations: The case of the ϕ(2170)

A. Martínez Torres

E. J. Garzón and E. Oset

L. R. Dai

  • Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

  • Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Apartado 22085, 46071 Valencia, Spain

  • Department of Physics, Liaoning Normal University, Dalian, 116029, China

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Phys. Rev. D 83, 116002 – Published 1 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.116002

Abstract

The fixed center approximation to the Faddeev equations has been used lately with success in the study of bound systems of three hadrons. It is also important to set the limits of the approach in those problems to prevent proliferation of inaccurate predictions. In this paper, we study the case of the ϕ(2170), which has been described by means of Faddeev equations as a resonant state of ϕ and KK¯, and show the problems derived from the use of the fixed center approximation in its study. At the same time, we also expose the limitations of an alternative approach recently proposed.

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Phys. Rev. D 83, 116002– Published 1 June, 2011
  • Received 11 March 2011

© 2011 American Physical Society

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