Magnetic moments of C isotopes studied with antisymmetrized molecular dynamics

Abstract

We studied the magnetic dipole moments $\ensuremath{\mu}$ of even-odd C isotopes, ranging from proton-rich to neutron-rich nuclei, with antisymmetrized molecular dynamics (AMD). The results are in good agreement with the experimental data. In the $^{9}\mathrm{C}$ ground state the total intrinsic spin of the protons is found to be nonzero (${S}_{p}\ensuremath{\ne}0$), which is unusual in even-odd nuclei. The interesting point is that the spin-orbit force breaks slightly the coupling off of intrinsic spins of the even nucleon group in isospin $T=\frac{3}{2}$ nuclei. This result is consistent with the newly measured $\ensuremath{\mu}$ data that, when combined with $^{9}\mathrm{Li}$ data, indicate an unusual $〈\ensuremath{\sigma}〉$ value larger than unity. A $\ensuremath{\mu}$ moment $\ensuremath{-}1.05{\ensuremath{\mu}}_{N}$ of $^{17}\mathrm{C}$ is theoretically predicted. We also show a good reproduction of $E2$ transition data.