6533b85ffe1ef96bd12c0fd6

RESEARCH PRODUCT

The generation of the ϱ-resonance by QCD

N.a. PapadopoulosR. Buchert

subject

Quantum chromodynamicsPhysicsTheoretical physicsAmplitudePhysics and Astronomy (miscellaneous)High Energy Physics::LatticeMathematical analysisStructure (category theory)ExtrapolationConformal mapEngineering (miscellaneous)Resonance (particle physics)

description

By showing that the imaginary part of a suitable QCD amplitude, after extrapolation up to the cut, exhibits indeed a prominent bump structure where the ϱ-resonance is expected to be, a rather direct indication for the generation of the ϱ-resonance by QCD is given. This is achieved by using a mathematically rigorous method of stable analytic extrapolation, based on the theory of maximally converging sequences of polynomials and the application of conformal mappings.

https://doi.org/10.1007/bf01566665