Probing Nucleon Polarizabilities with the Crystal Ball and TAPS in the A2 Tagged Photon Facility at MAMI

The polarizabilies of the nucleon are fundamental properties which characterize the nucleon's internal structure and dynamics. They play a role in many areas of physics. Uncertainties in polarizabilities play a role in the Proton Radius Problem, the electromagnetic contribution to the proton-neutron mass difference; and even in astrophysics, where they define the neutron star properties. Experimental capability over recent years has reached, and is further developing in some areas, to the point where higher precision extractions of the scalar polarizabilities can be made, and extractions of the spin polarizabilities with reasonable statistical precision have become attainable. Using the Crystal Ball and TAPS detectors in the A2 Tagged Photon facility of the MAinzer MIcroton (MAMI) accelerator, we aim to exploit, and further develop, this technology to further understand the structure and dynamics of the nucleon, and provide a clean test of Chiral Effective Field theories, by accessing the polarizabilities in Compton scattering experiments. We will report on the staus and recent results of the Compton Scattering program, and summarize future experiments.