  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 of
the neutron-star photosphere during the thermo-nuclear runaway. We show that
the cooling phase of the neutron star photosphere starts already just before
the end of the contraction phase. Considering the fact that the radius
expansion is due to the burst luminosity being at the Eddington luminosity,
assuming standard burst parameters and accounting for gravitational redshift
effects we derive a distance to the source of ~4.5 kpc, although relaxing these
assumptions may lead to uncertainties up 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 luminosity of GX 3+1 is ~0.17*L_edd, confirming
predictions from theoretical modeling of X-ray spectra of bright sources like
GX 3+1.
