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We determined the \fodd\ values, $0.46\pm0.08$, $0.51\pm0.09$, $0.50\pm0.13$,$0.48\pm0.12$, which correspond to the r-contribution 100\% for four r-IIstars, \cs, \hen, \hes\, and \het, respectively. Our results suggest thatalmost all of the heavy elements (in the range from Ba to Pb) in r-II starshave a common origin, that is, from a single r-process (the main r-process). Wefound that the \fodd\ has a intrinsic nature, and should keep constant value ofabout 0.46 in the main r-process yields, which is responsible for the heavyelement enhancement of r-II stars and of our Galaxy chemical enhancement. Inaddition, except the abundance ratio [Ba/Eu] the \fodd\ is also an importantindicator, which can be used to study the relative contributions of the r- ands-process during the chemical evolution history of the Milky Way and theenhancement mechanism in stars with peculiar abundance of heavy elements.

The odd-isotope fractions of Barium in the strongly r-process enhanced (r-II) stars