Chaotic Scattering and Escape Times of Marginally Trapped Ultracold Neutrons.
We compute classical trajectories of Ultracold neutrons (UCNs) in a superconducting Ioffe-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.
National Institute of Standards and Technology, Boulder, CO 80305 USA.
K J
KJ
Coakley
Harvard University, Cambridge, MA 02138 USA.
J M
JM
Doyle
Harvard University, Cambridge, MA 02138 USA.
S N
SN
Dzhosyuk
Harvard University, Cambridge, MA 02138 USA.
L
L
Yang
North Carolina State University, Raleigh, NC 27695 USA.
P R
PR
Huffman
Hamiltonian system; chaotic scattering; escape time; magnetic trap; symplectic integration; ultracold neutrons