The effects of core deformation and of its dynamical reorientation and rotational excitation on the inclusive single-neutron knockout reaction cross sections on light spherical target nuclei are examined. The projectile nuclei are modeled within the framework of a weak-coupling, quadrupole-deformed core-plus-neutron two-body model. We formulate the inclusion of this non-spectator-core degree of freedom within the nonperturbative eikonal model and calculate the elastic and inelastic breakup (or stripping) neutron-removal cross sections. We apply the methods to model the single-neutron removal reactions induced by 11 Be and 17 C secondary fragmentation beams incident on a 9 Be target. Our calculations indicate that dynamical deformation effects on the elastic breakup component of the knockout cross section can be significant. This is the largest effect. The more geometrical stripping cross section is found to be hardly changed by the inclusion of the deformed core degree of freedom.

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