Spectral density in the resonance region and analytic confinement

Spectral density in the resonance region and analytic confinement

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-Wi...

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Veröffentlicht in:Physical review. D, Particles and fields Particles and fields, 2004-11, Vol.70 (9), Article 094037
Hauptverfasser: Kalloniatis, Alex C., Nedelko, Sergei N., von Smekal, Lorenz
Format: Artikel
Sprache:eng
Schlagworte:
BOUND STATE
BREIT-WIGNER FORMULA
PARTICLE MODELS
PARTICLE WIDTHS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
REGGE TRAJECTORIES
RESONANCE PARTICLES
SPECTRAL DENSITY
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Beschreibung
Zusammenfassung: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.
ISSN:1550-7998
0556-2821
1550-2368
1089-4918
DOI:10.1103/PhysRevD.70.094037