19/$2^{\mathrm{-}}$ g factor in ${}_{}{}^{39}{}_{}{}^{}\mathrm{K}$ using a transient field-fusion reaction technique

The magnetic moment of the 19/$2^{\mathrm{-}}$ state in ${}_{}{}^{39}{}_{}{}^{}\mathrm{K}$ has been measured by the transient field technique. The state was excited by the inverse reaction ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$${(}^{32}$S,pα${)}^{39}$K and the recoil nucleus traversed a thin Gd foil. Its absolute g factor, g=0.35(3), was obtained by an internal calibration, which makes use of the magnetic moment of the 15/$2^{+}$ state in ${}_{}{}^{41}{}_{}{}^{}\mathrm{Ca}$ also excited in the same reaction. A mean g factor for the states $3^{\mathrm{-}}$, $5^{\mathrm{-}}$ in ${}_{}{}^{36}{}_{}{}^{}\mathrm{Ar}$, g=0.52(6), determined in a simultaneous measurement is consistent with the self-conjugate nature of the nucleus, giving further support to the validity of the field calibration. The experimental result agrees with shell-model predictions.