Spectral density in resonance region and analytic confinement

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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13 pages, RevTeX, 6 figures. Revised version with typographical corrections and additional comments in conclusions

Scientific paper

10.1103/PhysRevD.70.094037

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 {\it ansatz} and discuss a mechanism for the damping of unphysical exponential growth of observables at high energy due to finite widths of resonances.

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