We derive the quintic non-linear Schrödinger equation from the many-body dynamics of Bosons interacting with three-body interaction potentials in the Gross-Pitaevskii regime. In this regime, the short-range correlation structure between particles has a leading order role: the coupling parameter in the limiting equation is the correct scattering hyper volume. The proof relies on a new stability lemma needed to control effective two-body terms in terms of the three-body interaction potential. This is joint work with François <a href="http://Visconti.

https://indico.math.cnrs.fr/event/17390/ » target= »_blank » title= »Visconti.

https://indico.math.cnrs.fr/event/17390/ »>Visconti.

https://indico.math.cnrs.fr/event/17390/