Quasi-elastic (z > 0.95) photo-production of psi(2S) mesons has been o
bserved at HERA for photon-proton centre-of-mass energies in the range
40 to 160 GeV. The psi(2S) mesons were identified through their decay
s to l(+)l(-), and to J/psi pi(+)pi(-), where the J/psi subsequently d
ecays to l(+)l(-), the lepton l being either a muon or an electron. Th
e cross-section for quasi-elastic photoproduction was measured to be (
18.0 +/- 2.8(stat) +/- 3.0(syst)) nb at a photon-proton centre-of-mass
energy of 80 GeV. The ratio of the psi(2S) to J/psi quasi-elastic cro
ss-sections is (0.150 +/- 0.027(stat) +/- 0.022(syst)). (C) 1998 Elsev
ier Science B.V.