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%                         P H O T O N 9 9
%                          Freiburg
%                       May  23 - 27, 1999
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Abstract \#000, \today
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\begin{center}
{\large \bf
\boldmath  Measurement of $D^{\ast}$ Meson Cross Sections
at HERA
\\ }
\vspace{5mm}
M.~Erdmann$^1$
(for the H1 Collaboration)
\\
\vspace{5mm}
{\small\it
(1) University Karlsruhe / DESY, Notkestr. 85, D-22607 Hamburg, Germany
\\
}
\end{center}
With the H1 detector at the $ep$ collider HERA, 
$D^{\ast}$ meson production cross sections
have been measured 
in deep inelastic scattering 
with four-momentum transfers $Q^2>2$ GeV$^2$
and in photoproduction at energies around 
$W_{\gamma p}\approx 88$ GeV and $194$ GeV.
Next-to-Leading Order QCD calculations are found to describe
the differential cross sections within theoretical 
and experimental uncertainties. 
Using these calculations,
the NLO gluon momentum distribution in the proton, 
$x_g g(x_g)$, has been extracted 
in the momentum fraction range $7.5\cdot 10^{-4}< x_g <4\cdot 10^{-2}$
at average scales $\mu^2 =$ 25 to 50 GeV$^2$.
The gluon momentum fraction $x_g$ 
has been obtained
from the measured kinematics of the scattered electron and the 
$D^{\ast}$ meson in the final state.
The results compare well with the gluon distribution obtained from 
the analysis of scaling violations of the proton structure function $F_2$.


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{\small\begin{description}
\item{[1]}
H1 Collaboration, C.Adloff et al., \\
DESY-98-204 / submitted to Nucl. Phys. B 
\end{description}}

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