The extreme densities(1) of neutron stars make them an ideal system in
which to investigate the equation of state of nuclear matter; accurat
e determinations of neutron star masses and radii are crucial for this
, Current observations of neutron stars in binary systems yield masses
that are generally consistent with theory(2). But measurements of rad
ii are more difficult as they require the detection of thermal radiati
on from the surface, which in general is masked by emission from non-t
hermal processes in radio pulsars(3) and X-ray binary systems(4). Isol
ated radio-quiet neutron stars' offer the best opportunity to observe
the surface thermal emission, Here we report the detection of the opti
cal counterpart of a candidate isolated neutron star, RX J185635-3754
(ref. 6). Our optical flux data, combined with existing extreme ultrav
iolet(7) and X-ray(6) observations, show the spectrum to be approximat
ely thermal. By adopting the upper bound to the distance of the source
, and assuming a plausible model for the spectral energy distribution,
we find that the radius of the object cannot exceed 14 km. This resul
t is inconsistent with a number of recent equations of states proposed
for neutron stars.