Longitudinal and Transverse Spin Responses in Relativistic Many Body Theory

Spin longitudinal and transverse response function are studied by means of the relativistic many-body theory. The spin response functions in the relativistic theory are largely reduced from those in the non-relativistic theory. The local density approximation with the eikonal approximation is applied to the the nuclear absorption in the $(\vec{p},\vec{n})$ reactions on C and Ca. We compare the calculated results with the recent experimental data.