Invariant-mass Spectroscopy of B10, C11, F

The invariant-mass method is used to study the structure of a number of light proton-rich isotopes utilizing fast beams. Reactions where the projectile picks up a proton have been used to study $d$-wave resonances in $^{14}\mathrm{F}, ^{16}\mathrm{F}$, and $^{18}\mathrm{Na}$. While the $^{16}\mathrm{F}$ and $^{18}\mathrm{Na}$ results are consistent with previous studies, the $^{14}\mathrm{F}$ results are not consistent with the only previous work. We have tentatively identified the ${4}^{+}$ member of a rotational band in $^{10}\mathrm{B}$, which is the analog of well-known states with strong $\ensuremath{\alpha}$-cluster structure in $^{10}\mathrm{Be}$ and $^{10}\mathrm{C}$. Finally, spin and parities of newly observed states in $^{11}\mathrm{C}$ which decay sequentially into three-body exit channels have been determined or restricted.