During several observations in 1999 August with RXTE of the low-mass X-ray
binary GX 3+1, we found a single short and strong X-ray burst. This is the
first burst from GX 3+1 which clearly shows evidence for radius expansion o
f the neutron-star photosphere during the thermo-nuclear runaway. We show t
hat the cooling phase of the neutron star photosphere starts already just b
efore the end of the contraction phase. Considering the fact that the radiu
s expansion is due to the burst luminosity being at the Eddington luminosit
y, assuming standard burst parameters and accounting for gravitational reds
hift effects we derive a distance to the source of similar to 4.5 kpc, alth
ough relaxing these assumptions may lead to uncertainties up to similar to
30%. By comparing the persistent flux with that observed at the peak of the
burst we infer that near the time of the X-ray burst the persistent lumino
sity of GX 3+1 is similar to 0.17 L-edd, confirming predictions from theore
tical modeling of X-ray spectra of bright sources like GX 3+1.