The star HE 1305-0007 is a metal-poor double-enhanced star with metallicity [ Fe/H ] = -2.0 , which is just at the upper limit of the metallicity for the observed double-enhanced stars . Using a parametric model , we find that almost all s-elements were made in a single neutron exposure . This star should be a member of a post-common-envelope binary . After the s-process material has experienced only one neutron exposure in the nucleosynthesis region and is dredged-up to its envelope , the AGB evolution is terminated by the onset of common-envelope evolution . Based on the high radial-velocity of HE 1305-0007 , we speculate that the star could be a runaway star from a binary system , in which the AIC event has occurred and produced the r-process elements .