CCAST, World Lab, Ctr Theoret Phys, Beijing 100080, Peoples R China
; Acad Sinica, Inst High Energy Phys, Beijing 100039, Peoples R China
; Australian Natl Univ, Res Sch Phys Sci, Dept Theoret Phys, Canberra, ACT 2601, Australia
; Tsing Hua Univ, Dept Comp Sci & Technol, Beijing, Peoples R China
; Shanton Univ, Dept Phys, Guangdong, Peoples R China
If the antiproton optical potential includes the spin orbit interaction term, the A ((p) over bar,(p) over bar')A* inelastic scattering not only can excite the normal parity states, but also can excite the abnormal parity states. It also induces a polarization P-f(theta) at the inelastic scattering. In the framework of DWIA, we derive and calculate the inelastic scattering cross section and P-f(theta) for the C-12((p) over bar,(p) over bar')C-12* With 2(+), 3(-), and 1(+) states at antiproton energies of 46.8 and 179.7 MeV. Our model fit well the available experimental data. The 46.8 MeV measurement of the inelastic differential cross section to the 1(+) abnormal parity state can be explained by a spin orbit term. Such a term generates a sizable inelastic scattering polarization. [S0556-2813(99)06310-4].