Study of inelastic proton amplitudes for a fragmented analogue state in45Sc

The relative sign of inelastic proton-channel amplitudes has been measured for 31 resonances in⁴⁵Sc. These resonances include the fragmented 3/2^? analogue state observed atE ^p=2.62MeV in the⁴⁴Ca(p, p) and⁴⁴Ca(p, p′) reactions. The analogue fine structure is analyzed for the elastic and two inelastic channels; the Robson asymmetry is displayed clearly in the inelastic channels. The relative sign of the mixing ratio remains the same for the 15 fine structure resonances of the analogue. The mixing ratios enable the determination of the amplitude correlation of the widths in the inelastic channels. The recently introduced “off-diagonal strength function” is constructed from these data and compared with the theory of analogue state broadening.