  We propose a Dirac-Born-Infeld (DBI) D5 vertex brane plus N_c fundamental
strings configuration to describe a baryon probe in strongly coupled gauge
theory with gluon condensation at finite temperature via AdS/CFT
correspondence. We investigate properties of this configuration in a dilaton
deformed AdS_5\times S^5 background, in which IIB string theroy is dual to
super Yang-Mills thery in a state with a constant self-dual gauge field
(F_{mn}=F^*_{mn}) background. We find that for most values of temperature T and
gluon condensation parameter q (q = \pi^2<F_{mn}F_{mn}>), there always exists a
screening length L_s. The relation L_s\sim{1\ov T} has been checked. We give
the q dependence of L_s. We calculate the boost velocity v(v=-\tanh\eta) and
angular velocity \omega dependence of L_s for a baryon probe, and obtain
L_s=L_0*(1-v^2)^{1/4} for large v and L_s\sim\omega^{-1}, which are consistent
with those dependence relations in the point brane plus strings case, and find
that the usual relations have been modified by q. We also calculate the mass of
baryon and find T dependence of baryon mass.
