  We discuss a low energy $e^+e^-$ collider for production of the not yet
observed ($\mu^+\mu^-$) bound system (dimuonium). Collider with large crossing
angle for $e^+e^-$ beams intersection produces dimuonium with non-zero
momentum, therefore, its decay point is shifted from the beam collision area
providing effective suppression of the elastic $e^+e^-$ scattering background.
The experimental constraints define subsequent collider specifications. We show
preliminary layout of the accelerator and obtained main parameters. High
luminosity in chosen beam energy range allows to study $\pi^\pm$ and $\eta$
-mesons.
