Compton Scattering off Nucleons: Focus on the Nucleonic Low-Energy Degrees of Freedom

In this sketch, I focus on Physics and formalism behind dynamical polarisabilities, a new tool to test and interpret quantitative predictions about the low-energy degrees of freedom inside the nucleon from the multipoles of Compton scattering for photon energies below 300 MeV. A way to extract them from double-polarised precision experiments is sketched. Predictions from Chiral Effective Field Theory, both on the proton and on the neutron, serve as guideline for forthcoming experiments. Special interest is put on the r\^ole of the nucleon spin-polarisabilities. For details and a complete list of references, consult Refs. [1,2,3]