Phys. Rev. D 70, 094037 (2004) [10 pages]Spectral density in the resonance region and analytic confinementReceived 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
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