6533b826fe1ef96bd12844f1

RESEARCH PRODUCT

Determination of resonance parameters in QCD by functional analysis methods

S. CiulliF. GenietN.a. PapadopoulosKarl Schilcher

subject

Quantum chromodynamicsPhysicsMathematical optimizationAmplitudePhysics and Astronomy (miscellaneous)Mathematical analysisElementary particleField theory (psychology)Function (mathematics)Quantum field theoryExpression (computer science)Engineering (miscellaneous)Resonance (particle physics)

description

A mathematically rigorous method based on functional analysis is used to determine resonance parameters of an amplitude from its given asymptotic expression in the space-like region. This method is checked on a model amplitude where both the asymptotic expression and the exact function are known. This method is then applied to the determination of the mass and the width of the ρ-meson from the corresponding space-like asymptotic QCD expression.

https://doi.org/10.1007/bf01585629