Chaotic scattering and escape times of marginally trapped ultracold neutrons

We compute classical trajectories of Ultracold neutrons (UCNs) in a superconducting loffe-type magnetic trap using a symplectic integration method. We find that the computed escape time for a particular set of initial conditions (momentum and position) does not generally stabilize as the time step parameter is reduced unless the escape time is short (less than approximately 10 s). For energy intervals where more than half of the escape times computed for UCN realizations are numerically well determined, we predict the median escape time as a function of the midpoint of the interval.