Low-energy electron-positron collider to search and study (μ^+μ^-) bound state

Abstract: We discuss a low energy $e<sup>+e<sup>-$ collider for production of the not yet observed ($\mu<sup>+\mu<sup>-$) bound system (dimuonium). Collider with large crossing angle for $e<sup>+e<sup>-$ 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 $e<sup>+e<sup>-$ 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 $\pi<sup>\pm$ and $\eta$ -mesons.