Diffraction Scattering and Vector‐Meson Resonances

Scattering, Inverse Scattering and Resonances in R

Pion-pion Scattering above Resonances

We model large angle intermediate energy pion-pion scattering by the pQCD two-gluon (2g) exchange contribution and discuss the onset of the dominance of the Glauber-Gribov-Landshoff (GGL) component. The pQCD 2g exchange contribution becomes substantial already at |t| ∼ 1 GeV, but the pQCD exchange dominance is deferred to |t| ∼ 3 GeV because of competing multiple soft rescattering effects. Base...

Quantum Resonances in Chaotic Scattering

This letter summarizes numerical results from [1] which show that in quantum systems with chaotic classical dynamics, the number of scattering resonances near an energy E scales like h̄− D(KE)+1 2 . Here, KE denotes the subset of the classical energy surface {H = E} which stays bounded for all time under the flow of H and D (KE) denotes its fractal dimension. Since the number of bound states in ...

Resonances in Coupled-Channel Scattering

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like π , K and η . Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain coupled-channel scattering amplitudes from lattice QCD. Using large diverse bases of operators it is possible to obtain reliable finite volume spectra at energies where multip...

Scattering Resonances as Viscosity Limits

Using the method of complex scaling we show that scattering resonances of −∆ + V , V ∈ Lc (R), are limits of eigenvalues of −∆ + V − iεx as ε → 0+. That justifies a method proposed in computational chemistry and reflects a general principle for resonances in other settings.