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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机译：在这次谈判中，我们报告了解斯特梅框架内的绳索共振的最新进展。作为建模绳索共振的第一步，我们专注于BPS Skyrmion解决方案及其径向振动光谱。 BPS Skyrme模型允许轴向对称的ansatz，导致具有径向对称能量密度的横向对称的Baryon Number B.因此，可以对任何B进行径向激发模式。在该项目中，我们进行线性化和全部非线性BPS Skyrme模型中臭鼬辐射振荡和共振（准正常模式）分析。我们发现基本励磁与绳索共振的激发能量相比很好地比较。此外，对于广泛的潜在潜在的潜在较高的共振，可以是用于更高绳索共振的描述的候选者。
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