  Pulsars in close, eccentric binary systems are usually assumed to have
another neutron star as a companion. These double neutron star binaries have
proven to be the best laboratories for experimental General Relativity and are
the most secure candidates for gravitational wave interferometers. We present
deep B, V, and R images of the field containing the eccentric binary pulsar
system PSR B2303+46. We find a faint, blue object (B=26.60+/-0.09;
(B-R)_0=-0.4+/-0.2) coincident with the timing position. We suggest this object
is the optical counterpart to the PSR B2303+46 system. The counterpart is too
bright to reflect emission from the pulsar or a neutron star companion. Most
likely, the companion of PSR B2303+46 is not a neutron star but a massive white
dwarf. We show that the observations are consistent with a hot white dwarf
companion (T_eff>~5*10^4 K) with cooling age equal the characteristic age of
the pulsar (t_cool~30 Myr) and mass within the range set by timing observations
and the Chandrasekhar mass (1.2<M_C<1.4 M_sun). Given the eccentric orbit, the
white dwarf must have formed before the neutron star, from what was originally
the more massive star in the binary. Due to mass transfer, the originally less
massive star could become sufficiently massive to end its life in a supernova
explosion and form the radio pulsar. We constrain the mass of the pulsar to be
in the range 1.24<M_psr<1.44 M_sun.
