Periodic morphological changes in the radio structure of the gamma-ray binary LS 5039

Context. Gamma-ray binaries allow us to study physical processes such as particle acceleration up to TeV energies as well as very high energy gamma-ray emission and absorption with changing geometrical configurations on a periodic basis. These sources produce outflows of radio-emitting particles whose structure can be imaged with very long baseline interferometry (VLBI). LS 5039 is a gamma-ray binary that has shown variable VLBI structures in the past. Aims. We aim to characterise the radio morphological changes of LS 5039 and determine if they are either repeatable or erratic. Methods. We observed LS 5039 with the VLBA at 5 GHz during five consecutive days to cover the 3.9-day orbit and an extra day to distinguish between orbital or secular variability. We also compiled the available high-resolution radio observations of the source to study its morphological variability at different orbital phases. We used a simple model to interpret the obtained images. Results. The new observations show that the morphology of LS 5039 up to projected distances of 10 milliarcsec changes within 24 h. The observed radio morphological changes display a periodic orbital modulation. Multifrequency and multiepoch VLBI observations confirm that the morphological periodicity is stable on timescales of years. Using a simple model we show that the observed behaviour is compatible with the presence of a young non-accreting pulsar with an outflow behind it. The morphology is reproduced for inclinations of the orbit of 60-75 degrees. For masses of the companion star in the range 20-50 M-circle dot, this range of inclinations implies a mass of the compact object of 1.3-2.7 M-circle dot. Conclusions. The periodic orbital modulation of the radio morphology of LS 5039, stable over several years, suggests that all gamma-ray binaries are expected to show a similar behaviour. The changes in the radio structure of LS 5039 are compatible with the presence of a young non-accreting neutron star, which suggests that the known gamma-ray binaries contain young pulsars.