Hyperbola

Let \(\mathrm{S}\) be the focus of the hyperbola \(\frac{x^2}{3}-\frac{y^2}{5}=1\), on the positive \(x\)-axis. Let \(\mathrm{C}\) be the circle with its centre at \(\mathrm{A}(\sqrt{6}, \sqrt{5})\) and passing through the point \(\mathrm{S}\). If \(\mathrm{O}\) is the origin and \(\mathrm{SAB}\) is a diameter of \(\mathrm{C}\), then the square of the area of the triangle OSB is equal to __________.