  We report measurements of the current noise generated by the optimally doped,
x=0.15, ${\rm Au- La_{2-x}Sr_xCuO_4}$ junctions. For high transmission
junctions on (110) surface, we observed split zero-bias conductance peak
(ZBCP), accompanied by enhanced shot noise. We attribute the enhanced noise to
the Cooper pair transport through the junction. The ZBCP disappears and the
noise decreases to the one expected for the charge $e$ with heating at
temperatures well below ${\rm T_c}$, and at voltages much smaller than the bulk
superconducting gap, setting a new energy scale of 0.5 mV. We attribute this
scale to the existence of an $id_{xy}$ or $is$ order parameter at the sample
surface.
