Abstract
In this talk, we report recent progress in understanding Roper resonances within the Skyrme framework. As a first step towards modelling Roper resonances, we focus on BPS Skyrmion solutions and their radial vibration spectra. The BPS Skyrme model allows for an axially symmetric ansatz leading to skyrmions with a radially symmetric energy density for arbitrary baryon number B. Hence, radial excitation modes may be studied for any B. In this project, we carry out both a linearised and full nonlinear analysis of radial oscillations and resonances (quasi-normal modes) of Skyrmions in the BPS Skyrme model. We find that the fundamental excitation compares reasonably well with the excitation energy of the Roper resonance. Furthermore, for a wide class of potentials higher resonances can appear which might be candidates for the description of higher Roper resonances.
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