Abstract
The goal of this project was a systematic calculation, consistent with the mass spectrum, of electroweak properties of baryons, as well as of the hadronic two-body decays of baryon resonances. The basis of the calculations was a relativistically covariant quark model for mesons and baryons, which allows for the calculation of (momentum dependent) hadronic form factors and coupling vertices in the relevant photon and hadron induced reactions and simultaneously describes the hadronic mass spectrum up to 3 GeV.
Highlights
We developed a constituent quark model for baryons and mesons within a field-theoretical framework starting from the homogeneous Bethe-Salpeter for bound hadronic states
Before the start of the first funding period of the SFB/TR16 this model, which describes the quark dynamics through an instantaneous confinement potential with a suitable Dirac structure, rising linearly with interquark distances and a spin-flavour dependent interaction motivated by instanton effects to describe the major spin-dependent mass splittings, had been applied to a calculation of the spectrum of light flavoured mesons and baryons up to masses of about 3 GeV, see e.g. [1,2,3] as well as some selected electroweak observables such as electromagnetic form factors, charge radii and magnetic moments, see e.g. [4, 5]
In view of the results discussed so far we concluded that this relativistic constituent quark model accounts for the majority of the salient features in the baryon spectrum, such as linear Regge trajectories, the major spin dependent mass splittings, in particular the occurrence of spinparity doublets and offers a parameter-free quantitative description of many electroweak observables, such as static moments, helicity amplitudes and semi-leptonic decay observables
Summary
We developed a constituent quark model for baryons and mesons within a field-theoretical framework starting from the homogeneous Bethe-Salpeter for bound hadronic states. This model fully respects Poincaré covariance, mandatory to describe deeply bound states and/or scattering processes at larger momentum transfer. Before the start of the first funding period of the SFB/TR16 this model, which describes the quark dynamics through an instantaneous confinement potential with a suitable Dirac structure, rising linearly with interquark distances and a spin-flavour dependent interaction motivated by instanton effects to describe the major spin-dependent mass splittings, had been applied to a calculation of the spectrum of light flavoured mesons and baryons up to masses of about 3 GeV, see e.g. Before the start of the first funding period of the SFB/TR16 this model, which describes the quark dynamics through an instantaneous confinement potential with a suitable Dirac structure, rising linearly with interquark distances and a spin-flavour dependent interaction motivated by instanton effects to describe the major spin-dependent mass splittings, had been applied to a calculation of the spectrum of light flavoured mesons and baryons up to masses of about 3 GeV, see e.g. [1,2,3] as well as some selected electroweak observables such as electromagnetic form factors, charge radii and magnetic moments, see e.g. [4, 5]
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