Accelerator neutrinos as a probe of in-medium hyperon potentials

Charged-current (anti)neutrino interactions create $\Lambda$ and $\Sigma$ hyperons \emph{inside} the nucleus, making hyperon final-state interactions a terrestrial probe of the in-medium potentials that govern hyperon onset in neutron stars. In the StrangeMC simulation the trapped-$\Lambda$ fraction, escaping hyperon momenta, and a kaon-vetoed $\Sigma^+$ tag respond monotonically to $U_\Lambda$ and $U_\Sigma$ at SBND and DUNE. Marginalised over the low-density slope, a forecast gives $\delta U_\Lambda\approx6\MeV$ with systematics distinct from hypernuclear data; $U_\Sigma$ is limited by hyperon--nucleon cross sections.