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TY - UNPB AU - Bogomyagkov, A.V. AU - Druzhinin, V.P. AU - Levichev, E.B. AU - Milstein, A.I. AU - Sinyatkin, S.V. ED - Li, Ying-ying ED - Li, Lu ED - Schaa, Volker RW TI - Low Energy Inverse Crossing e⁺e⁻ Collider for (Mu+Mu-) Bound State Production and Study J2 - Proc. of eeFACT2018, Hong Kong, China, 24-27 September 2018 CY - Hong Kong, China T2 - ICFA ABDW on High Luminosity Circular e$^+$e$^-$ Colliders T3 - 62 LA - english AB - From six leptonic atoms (e⁺e⁻), (μ+e-), (μ+μ-), (τ+e-), (τ+μ-), (τ+τ-) only positronium (e⁺e⁻) and muonium (μ+e-) were observed. Observation and study of dimuonium (μ+μ-) will test QED and quantum mechanics computations in the new regime. Dimuonium radius is 200 times smaller than positronium; therefore, it has a higher new-physics reach potential in comparison with other exotic atoms. We propose a low energy e⁺e⁻ collider for production of the not yet observed (μ+μ-) bound system. Low beam energy E(beam)=400 MeV and small circumference Π=30 m of the machine make it inexpensive to manufacture and operate. Large crossing angle (75 degrees)of e⁺e⁻ beams produces dimuonium with non-zero momentum shifting decay point from beams collision area and providing effective suppression of the main source of background – elastic e⁺e⁻ scattering. The peak luminosity at μ+μ- production threshold is 8×10³¹ cm⁻²s⁻¹. Reversing one of the beams direction allows to study π± and η mesons with high luminosity. PB - JACoW Publishing CP - Geneva, Switzerland ER -