Single proton knock-out reactions fromF24,25,26

The cross sections of the single proton knock-out reactions from ${}^{24}\mathrm{F}$, ${}^{25}\mathrm{F}$, and ${}^{26}\mathrm{F}$ on a ${}^{12}\mathrm{C}$ target were measured at energies of about $50\text{MeV}∕\text{nucleon}$. Ground state populations of $6.6\pm 0.9\text{mb}$, $3.8\pm 0.6\text{mb}$ for the reactions ${}^{12}\mathrm{C}\left({}^{24}\mathrm{F},{}^{23}\mathrm{O}\right)$ and ${}^{12}\mathrm{C}\left({}^{25}\mathrm{F},{}^{24}\mathrm{O}\right)$ were extracted, respectively. The data were compared to calculations based on the many-body shell model and the eikonal theory. In the reaction ${}^{12}\mathrm{C}\left({}^{26}\mathrm{F},{}^{25}\mathrm{O}\right)$ the particle instability of ${}^{25}\mathrm{O}$ was confirmed.