We measured the radial velocity curve of the companion of the neutron star
X- ray transient XTE J2123-058. Its semiamplitude (K-2) of 298.5 +/- 6.9 km
s(-1) is the highest value that has been measured for any neutron star low
- mass X- ray binary. The high value for K-2 is, in part, due to the high b
inary inclination of the system but may also indicate a high neutron star m
ass. The mass function (f(2)) of 0.684 +/- M., along with our constraints o
n the companion's spectral type (K5 V- K9 V) and previous constraints on th
e inclination, gives a likely range of neutron star masses from 1.2 to 1.8
M.. We also derive a source distance of 8.5 +/- 2.5 kpc, indicating that XT
E J2123-058 is unusually far, 5.0 +/- 1.5 kpc, from the Galactic plane. Our
measurement of the systemic radial velocity is -94.5 +/- 5.5 km s(-1), whi
ch is significantly different from what would be observed if this object co
rotated with the disk of the Galaxy.