Inelastic ${\mathrm{\pi }}^{\pm }$ cross-section measurements at a pion incident energy of 162 MeV were made for 12 previously known $6^{\mathrm{-}}$ states in ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}$. The peak resolution was significantly improved over a previous ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}$(π,π’) report describing only two $6^{\mathrm{-}}$ states. Using both harmonic oscillator and Woods-Saxon wave functions (unbound as necessary), the pion scattering data were combined with electron scattering data to determine the isoscalar magnetic structure coefficients for each state. Although more streched transitions have been located by pion scattering on ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}$ than in any other nucleus, the total isoscalar strength was only 12% of the extreme single particle sum rule, and only about 1/4 of that predicted by more complete calculations. Discrepancies between the isoscalar strengths for several of these states and those found from a combined electron-proton scattering analysis are pointed out.

• Received 26 April 1993

DOI:https://doi.org/10.1103/PhysRevC.48.1632