“…Figure1(b) shows the one-proton energy reconstructed in the center of mass of36 Ca using the ðp; dÞ reaction with a gate on outgoing K only. Since the energy resolution reconstructed with the protons is better than with the deuterons ([23,24]), Fig.1(b) allows the determination of the energy peak centroids to be used for the fit of Fig.1(a) in the 4-5.5 MeV excitation energy range.The red lines in Figs.1(a)-1(d) display the best fits obtained using multiple Gaussian functions (shown with colored dotted lines) plus a small background contribution (green dashed line), generated by interactions of the beam particles with the windows of the LH 2 target, determined in a dedicated run with an empty target. The width of each peak used in the fit is constrained by simulations performed with the nptool package[25], the reliability of which is checked from the observed widths of isolated peaks [e.g., 0 þ 1 at 0 MeV in Fig.1(a) and 2 þ 1 at 3 MeV in Fig.1(b)].…”