We present measurements of the diffractive photoproduction of

,

and

mesons at high momentum transfer using
the ZEUS detector at HERA. A special-purpose tungsten/scintillator
calorimeter served to tag the quasi-real photons
(

) in the process

, resulting in a selected kinematic region of

,

, where

is the photon-proton center-of-mass
energy and

is the squared momentum transfer to the dissociated
proton system

. Offline event selection criteria included the
reconstruction of exactly two tracks from the interaction vertex and
rejected events with calorimetric energy deposits in the rear and
barrel sections of the calorimeter which were not associated with
the extrapolation of either track. The selected events exhibit a
rapidity gap between the dissociated nucleonic system and the two
tracks of at least two units. The differential cross sections

obtained for

,

and

mesons show a
power-law dependence

, where

.
Information on the polarization of the

mesons has been
obtained from the decay-pion angular distributions and is discussed
in the context of earlier measurements at lower energy and lower
momentum transfer.