Measurement of the branching fraction of ψ ( 2 S ) → γ π 0
Based on ( 2712.4 ± 14.1 ) × 10 6 ψ ( 2 S ) events, 7.9 fb − 1 ψ ( 3773 ) data, and 0.8 fb − 1 off-resonance data samples collected with the BESIII detector, we measure the branching fraction of ψ ( 2 S ) → γ π 0 and e + e − → γ π 0 form factor at momentum transfers Q 2 ∼ 13 GeV 2 . The e + e − → γ π 0 cross section is fitted with considering the interference between the ψ ( 2 S ) and continuum amplitudes and two solutions are found, B = 3.74 × 10 − 7 with ϕ = 3.93 rad and B = 7.87 × 10 − 7 with ϕ = 2.08 rad . Here, B is the branching fraction of ψ ( 2 S ) → γ π 0 and ϕ is the relative phase angle between the ψ ( 2 S ) and continuum amplitudes. Due to insufficient off-resonance data, the branching fraction B ( ψ ( 2 S ) → γ π 0 ) is determined to be in the range [ 2.7 , 9.7 ] × 10 − 7 within 1 standard deviation of the contour region. Published by the American Physical Society 2024