Hansen-Goos hard sphere equation of state

The Hansen-Goos hard sphere equation of state is given by (Eq. 5):

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \rho k_{B}T\kappa _{T}={\frac {(1-\eta )^{4}}{(1+2\eta -\gamma \eta ^{3}+\delta \eta ^{4})^{2}}}}

where (Eq. 7)

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \gamma = 2(19- \frac{B_4}{V^3}) \approx 1.270463 }

and (Eq. 8)

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \delta = - \frac{3}{7} + \frac{5\gamma}{8} +\frac{4}{7} \sqrt{1- \frac{21 \gamma}{32} + \frac{105\gamma^2}{1024}} \approx 0.694605}

and where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \kappa_T} is the isothermal compressibility, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \rho} is the number density and $\eta$ is the packing fraction.