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Pion Rescattering in Two-Pion Decay of Heavy Quarkonia

T. A. Lahde·D. O. Riska
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Abstract

The role of pion rescattering in $ππ$ decay of radially excited heavy quarkonia modeled in terms of a $Qππ$ coupling, is investigated within the framework of the covariant Blankenbecler-Sugar equation. The effects of pion rescattering (or pion exchange) are shown to be large, unless the coupling of the two-pion system to the heavy quarks is mediated by a fairly light scalar $σ$ meson, which couples to the gradients of the pion fields. The Hamiltonian model for the quarkonium states is formed of linear scalar confining, screened one-gluon exchange and instanton induced interaction terms. The widths and energy distributions of the basic decays $ψ'\to J/ψππ$ and $Υ'\to Υππ$ are shown to be satisfactorily described by this model. The implications of this model for the decays of the $Υ(3S)$ state are discussed.

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T. A. Lahde, D. O. Riska. 2002-04-24. Pion Rescattering in Two-Pion Decay of Heavy Quarkonia. https://doi.org/10.1016/s0375-9474(02)00964-8

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