Pion Rescattering in Two-Pion Decay of Heavy Quarkonia

Details Pion Rescattering in Two-Pion Decay of Heavy Quarkonia Pion Rescattering in Two-Pion Decay of Heavy Quarkonia

2001-12-10

arxiv.org/abs/hep-ph/0112131v4

Nucl.Phys. A707 (2002) 425-451

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, 13 figures, uses Feynmf. Submitted to Nuclear Physics A v2: Minor corrections to formatting v3: Corrected Feynman di

Scientific paper

10.1016/S0375-9474(02)00964-8

The role of pion rescattering in $\pi\pi$ decay of radially excited heavy quarkonia modeled in terms of a $Q\pi\pi$ 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 $\sigma$ 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 $\psi'\to J/\psi \pi\pi$ and $\Upsilon'\to \Upsilon \pi\pi$ are shown to be satisfactorily described by this model. The implications of this model for the decays of the $\Upsilon(3S)$ state are discussed.

Affiliated with

Also associated with

No associations

Rating

Pion Rescattering in Two-Pion Decay of Heavy Quarkonia does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pion Rescattering in Two-Pion Decay of Heavy Quarkonia, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pion Rescattering in Two-Pion Decay of Heavy Quarkonia will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-123595