Global binding integral of the hypervirial model
= Global binding integral of the hypervirial model
{title2=$I=\frac{p+1}{p}\frac{\Gamma(1+1/p)^2}{\Gamma(2+2/p)}$}
In unit scales $I=\int\rho\psi d^3x=(p+1)\Gamma(1+1/p)^2/[p\Gamma(2+2/p)]$. The <local virial relation of the hypervirial model> gives global energies $T=I/4$ and $W=-I/2$. Restoring physical scales multiplies each integral by $GM^2/a$.