Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{o}\mathfrak{s}\mathfrak{p}(1\mathrm{\mid }2m)$

We give a new presentation of the Yangian for the orthosymplectic Lie superalgebra ${\mathfrak{o}\mathfrak{s}\mathfrak{p}}_{1\mathrm{\mid }2m}$. It relies on the Gauss decomposition of the generator matrix in the $R$-matrix presentation. The defining relations between the Gaussian generators are derived from a new version of the Drinfeld-type presentation of the Yangian for ${\mathfrak{o}\mathfrak{s}\mathfrak{p}}_{1\mathrm{\mid }2}$ and some additional relations in the Yangian for ${\mathfrak{o}\mathfrak{s}\mathfrak{p}}_{1\mathrm{\mid }4}$ by an application of the embedding theorem for the super-Yangians.