Ground-state magnetic moment of the $T=1\mathrm{}$ nucleus ${}^{32}\mathrm{Cl}$ using on-line $\beta -\mathrm{NMR}$ spectroscopy

The magnetic dipole moment of the $1^{+}$ ground state of the $T=1\mathrm{}$ nucleus ${}_{17}^{32}{\mathrm{Cl}}_{15}$ has been measured to be $\mu =1.114\mathrm{}\left(6\right)\mathrm{}{\mu }_N$ using conventional $\beta -\mathrm{NMR}$ spectroscopy. Polarized ${}^{32}\mathrm{Cl}$ nuclei were produced by fragmentation of a 100 MeV/nucleon ${}^{36}\mathrm{Ar}$ beam in a 642 $\mathrm{mg}/{\mathrm{cm}}^2$ ${}^{93}\mathrm{Nb}$ target, where the beam was incident on the target at an angle $2.5°$ to the normal beam axis. The desired ${}^{32}\mathrm{Cl}$ fragments were filtered from other fragmentation products using the A1200 fragment separator and implanted in a NaCl single crystal, maintained at room temperature, at the center of a $\beta -\mathrm{NMR}$ apparatus. The Larmor frequency was determined by measuring the $\beta$-decay asymmetry as a function of the applied radio-frequency field. Isoscalar and isovector moments for the $A=32,$ $T=1\mathrm{}$ isospin multiplet are extracted and compared with large-basis shell model calculations.