Study of diquark fragmentation into $\Lambda$ and $Y^{*+}$ in $\nu n$ and $\nu p$ interactions

We apply a new method to determine the probability of the $\mathrm{uu}$ diquark from $\nu p$ interactions fragmenting as independent quarks. In particular, by assuming that all $\Lambda \text{'}\mathrm{s}$ which do not come from $Y^{*+}$, $N^{*+}$, or charmed baryons must come from independent fragmentation, we show this probability to be about 50%. We also provide information from $\nu n$ interactions on the fragmentation of $\mathrm{ud}$ diquarks into $\Lambda \text{'}\mathrm{s}$, and from this determine the probability of capturing a strange quark from the sea in the target region to be ${\tau }_s=0.051\mathrm{}\pm 0.013$, about half the value found in the current region, ${\gamma }_s=0.12\mathrm{}\pm 0.02$. Overall $\Lambda$ production rates in $\nu n$ and $\nu p$ reactions are (7.0 ± 0.8)% and (7.0 ± 1.2)%, respectively, when cuts of $W>\mathrm{}4\mathrm{}$ GeV and $x_B>0.2\mathrm{}$ are made on the data.