  Dirac coupled channel calculations are performed phenomenologically for the
high-lying excited states that belong to the 2$^+$ gamma vibrational band at
the 800-MeV polarized proton inelastic scatterings from the s-d shell nuclei,
$^{24}$Mg and $^{26}$Mg. Optical potential model is used and scalar and
time-like vector potentials are considered as direct potentials. First-order
vibrational collective models are used to obtain the transition optical
potentials in order to accommodate the high-lying excited vibrational
collective states. The complicated Dirac coupled channel equations are solved
phenomenologically to reproduce the differential cross section and analyzing
power data by varying the optical potential and deformation parameters.
  It is found that the relativistic Dirac coupled channel calculation could
describe the high-lying excited states of the 2$^+$ gamma vibrational band at
the 800-MeV polarized proton inelastic scatterings from s-d shell nuclei
$^{24}$Mg and $^{26}$Mg reasonably well, showing better agreement with the
experimental data compared to the results obtained from the nonrelativistic
calculations. Calculated deformation parameters for the excited states are
analyzed and compared with those of nonrelativistic calculations.
