A full theoretical treatment including an ab-initio molecular calculation of the potential energy curves and couplings followed by a semi-classical collision dynamics has been performed for the one-electron capture by S3+ ions in collision with atomic hydrogen. The present paper completes a previous letter [ 9] and displays the full results concerning this process in order to provide a detailed understanding of the mechanism. These calculations show evidence of the predominance of the S2+(3s(2)3p3d)(3)Fdegrees capture level, already pointed out by translational energy spectroscopy experiments and confirms experimental measurements. A compared study of the behaviour of the S3+ projectile colliding both hydrogen and helium targets is also presented.