Eur. Phys. J. C 21, 145-153 (2001)
Quark-hadron duality, factorization and strong phases in decayI. Caprini1, L. Micu1 and C. Bourrely2
1 National Institute of Physics and Nuclear Engineering, P.O. Box MG 6, 76900 Bucharest, Romania
2 Centre de Physique Théorique (Laboratoire propre au CNRS-UPR 7061) , CNRS-Luminy, Case 907, 13288 Marseille Cedex 9, France
(Received: 19 March 2001 / Revised version: 25 May 2001 / Published online: 29 June 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)
We consider the hadronic description of the decay, with the aim to investigate the strong phases generated by the final state interactions. The derivation of the dispersion relations using the Lehmann-Symanzik-Zimmermann formalism and the Goldberger-Treiman method to include inelastic effects in the spectral function are presented. We discuss the problem of quark-hadron duality and estimate in the hadronic formalism the corrections to the factorized amplitude in the heavy quark limit.
© Società Italiana di Fisica, Springer-Verlag 2001