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Phys. Rev. D 70, 094037 (2004) [10 pages]

Spectral density in the resonance region and analytic confinement

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Alex C. Kalloniatis*
Special Research Centre for the Subatomic Structure of Matter, University of Adelaide, South Australia 5005, Australia

Sergei N. Nedelko
Institute of Theoretical Physics III, Erlangen-Nuremberg University, Erlangen, Germany, and Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia

Lorenz von Smekal
Institute of Theoretical Physics III, Erlangen-Nuremberg University, Erlangen, Germany

Received 5 July 2004; published 19 November 2004

We study the role of finite widths of resonances in a nonlocal version of the Wick-Cutkosky model. The spectrum of bound states is known analytically in this model and forms linear Regge tragectories. We compute the widths of resonances, calculate the spectral density in an extension of the Breit-Wigner ansatz and discuss a mechanism for the damping of unphysical exponential growth of observables at high energy due to finite widths of resonances.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.094037
DOI:
10.1103/PhysRevD.70.094037
PACS:
12.38.Aw, 11.15.Tk, 11.55.Bq, 12.38.Lg

*akalloni@physics.adelaide.edu.au

nedelko@thsun1.jinr.ru

smekal@theorie3.physik.uni-erlangen.de