Polarization in fragmentation,gfactor of35K

Spin polarization $Pg1%$ has been observed for ${}^{37}\mathrm{K}$ fragments produced in the reaction ${}^{40}\mathrm{Ca}{+}^{9}\mathrm{Be}$ at 500 MeV/nucleon. The polarization was measured as a function of fragment longitudinal momentum (Goldhaber distribution). The experimental results are well described by a new Monte Carlo\char21{}based model. The $\ensuremath{\beta}$-decay half-life of ${}^{35}\mathrm{K}$ was remeasured as ${t}_{1/2}=178(8)$ ms. Using polarized ${}^{35}\mathrm{K}$ fragments, the $g$ factor ${g}_{\mathrm{exp}}{(}^{35}\mathrm{K})=0.24(2)$ was measured. The magnetic moments of isospin $|{T}_{z}|=3/2$ mirror pairs are discussed.