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

We discuss a low energy e + e − collider for production of the not yet observed (μ+ μ− ) 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 π± and η-mesons.