The present article reports new data on the ${}^{48}\mathrm{Ti}({}^{18}\mathrm{O},{}^{17}\mathrm{O}){}^{49}\mathrm{Ti}$ reaction at 275 MeV incident energy as part of the systematic research pursued within the NUMEN (NUclear Matrix Elements for Neutrinoless double $\mathrm{<ruby><rb>\beta </rb><rt>べーた</rt></ruby>}$ decay) project. Supplementary measurements of the same reaction on ${}^{16}\mathrm{O}$ and ${}^{27}\mathrm{Al}$ targets were also performed in order to estimate the background arising from the use of a composite target (${\mathrm{TiO}}_2+{}^{27}\mathrm{Al}$). These data were analyzed under the same theoretical framework as those obtained with the titanium target in order to reinforce the conclusions of our analysis. Differential cross-section angular distribution measurements for the ${}^{17}\mathrm{O}^{8+}$ ejectiles were performed in a wide angular range by using the MAGNEX large acceptance magnetic spectrometer. The experimental results were analyzed within the distorted-wave and coupled-channels Born approximation frameworks. The optical potentials at the entrance and exit channels were calculated in a double folding approach adopting the São Paulo potential, and the spectroscopic amplitudes for the projectile and target overlaps were obtained from large-scale shell model calculations. The differential cross sections are well described by the theoretical calculations, where a weak coupling to collective excitations of projectile and target is inferred. The sensitivity of transfer cross sections on different model spaces adopted in nuclear structure calculations is also discussed.

• Received 18 July 2023
• Accepted 26 September 2023

DOI:https://doi.org/10.1103/PhysRevC.108.044611