
Conference on "Mathematical properties of large quantum systems"
Organizers: Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Robert Seiringer (McGill, Montréal) & Jan Philip Solovej (Copenhagen)
Nick Manton (Cambridge, UK): "Skyrmions as models of nuclei"
Friday 21 June 2013, 11:00  11:45
Amphi Hermite
Conventional nuclear physics is a complicated quantum manybody problem involving the interactions of pointlike protons and neutrons (nucleons). The Skyrme model treats the nucleons as solitons  Skyrmions  in a pion field theory. This reproduces the longrange internucleon force, and gives internal structure to the nucleons. A nucleus is, to first approximation, a solution of the Skyrme equations with the appropriate nucleon number, which is a topological invariant. In these Skyrmion solutions of higher topological charge, the nucleons partially merge, as is physically reasonable, since at a deeper level nucleons are made of interacting quarks. To next approximation, one needs to quantise the Skyrmion as a rigid body in space and isospinspace. The model has some qualitative success, for example, in seeing the formation of alphaparticle structures in nuclei. The mathematical properties of Skyrmions (investigated by M. Esteban) are clear numerically, but remain to be better understood analytically.