Regge Trajectories for Light Nuclear Systems

A large number of nuclear levels in the light nuclei ${\mathrm{O}}^{16}$, ${\mathrm{Ne}}^{20}$, ${\mathrm{O}}^{17}$, ${\mathrm{F}}^{17}$, ${\mathrm{C}}^{13}$, and ${\mathrm{N}}^{13}$ are classified in terms of the Regge trajectories in the channels (${\mathrm{C}}^{12},\alpha$), (${\mathrm{O}}^{16},\alpha$), (${\mathrm{O}}^{16},n$), (${\mathrm{O}}^{16},p$), (${\mathrm{C}}^{12},n$), and (${\mathrm{C}}^{12},p$), respectively. The mirror nuclei (${\mathrm{O}}^{17}$, ${\mathrm{F}}^{17}$) and (${\mathrm{C}}^{13}$, ${\mathrm{N}}^{13}$) have isobaric analog trajectories. The Regge trajectories obtained by coupling a nucleon with the first excited state of an ${\mathrm{O}}^{16}$ or ${\mathrm{C}}^{12}$ nucleus are also constructed from the levels of ${\mathrm{O}}^{17}$ (or ${\mathrm{F}}^{17}$) and ${\mathrm{C}}^{13}$ (or ${\mathrm{N}}^{13}$), respectively. (${\mathrm{O}}^{16}$, nucleon) and (${\mathrm{C}}^{12}$, nucleon) are spin-zero-spin-½ systems and contain trajectories corresponding to both $J=l-\frac{1}{2}$ and $J=l+\frac{1}{2}$ couplings.