  The energy and structure of a dilute hard-disks Bose gas are studied in the
framework of a variational many-body approach based on a Jastrow correlated
ground state wave function. The asymptotic behaviors of the radial distribution
function and the one-body density matrix are analyzed after solving the Euler
equation obtained by a free minimization of the hypernetted chain energy
functional. Our results show important deviations from those of the available
low density expansions, already at gas parameter values $x\sim 0.001$. The
condensate fraction in 2D is also computed and found generally lower than the
3D one at the same $x$.
