A study of the ultra-cold neutron up-scattering at reflection from solid surface Y. N. Pokotilovski, M. I. Novopoltsev and P. Geltenbort Eur. Phys. J. Appl. Phys., 45 2 (2009) 21202 Published online: 31 January 2009 DOI: 10.1051/epjap/2009001