Abstract
We report in a systematic way the predictions of the non-relativistic hypercentral Constituent Quark model for the electromagnetic excitations of baryon resonances. The longitudinal and transverse helicity amplitudes are calculated with no free parameters for fourteen resonances, both for proton and neutron. The calculations lead to an overall fair description of data, specially in the medium $Q^2$ range, where quark degrees of freedom are expected to dominate.
Highlights
The hypercentral Constituent Quark Model has been introduced [1] in order to describe the internal structure of baryons and their electromagnetic properties
The three-quark wave functions calculated with the hypercentral Constituent Quark Model (hCQM) of Eq (1) can be used for the prediction of the Q2 behavior of the helicity amplitudes [2, 3, 6] and of the nucleon elastic form factors [4, 5]
For many resonances there are still few data, thanks to the recent Jlab experiments at higher Q2, one can make a significant comparison between the extracted amplitudes and the hCQM predictions
Summary
The hypercentral Constituent Quark Model (hCQM) has been introduced [1] in order to describe the internal structure of baryons and their electromagnetic properties. After having fixed the few free parameters by fitting the observed spectrum of baryon resonances, the model has been used to predict many baryon properties, such as the photocouplings [2], the helicity amplitudes for the transverse excitation of negative parity resonances [3] and the nucleon elastic form factors [4, 5]. After a brief description of the model, the attention will be concentrated on the results regarding the excitation of some of the most important resonances and future perspectives, mainly in connection with the inclusion of relativistic effects, will be discussed
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