Stability and resolution in electromagnetic inverse problems

info:eu-repo/semantics/published

Stability and Resolution in Electromagnetic Inverse Scattering - Part I

info:eu-repo/semantics/published

Positive regularised solutions in electromagnetic inverse scattering

Fredholm integral equations of the first kind are the mathematical model common to several electromagnetic, optical and acoustical inverse scattering problems. In most of these problems the solution must be positive in order to satisfy physical plausibility. We consider ill-posed deconvolution problems and investigate several linear regularization algorithms which provide positive approximate solutions at least in the absence of errors on the data.

Scalar glueballs: Constraints from the decays into η or η′

We study the mixing of the scalar glueball into the isosinglet mesons f0(1370), f0(1500), and f0(1710) to describe the two-body decays to pseudoscalars. We use an effective Hamiltonian and employ the two-angle mixing scheme for η and η′. In this framework, we analyze existing data and look forward to new data into η and η′ channels. For now, the f0(1710) has the largest glueball component and a sizable branching ratio into ηη′, testable at BESIII.