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We present a formalism of distorted wave impulse approximation (DWIA) foranalyzing spin observables in nucleon inelastic and charge exchange reactionsleading to the continuum. It utilizes response functions calculated by thecontinuum random phase approximation (RPA), which include the effective mass,the spreading widths and the \Delta degrees of freedom. The Fermi motion istreated by the optimal factorization, and the non-locality of thenucleon-nucleon t-matrix by an averaged reaction plane approximation. By usingthe formalism we calculated the spin-longitudinal and the spin-transverse crosssections, ID_q and ID_p, of 12C, 40Ca (\vec{p},\vec{n}) at 494 and 346 MeV. Thecalculation reasonably reproduced the observed ID_q, which is consistent withthe predicted enhancement of the spin-longitudinal response function R_L.However, the observed ID_p is much larger than the calculated one, which wasconsistent with neither the predicted quenching nor the spin-transverseresponse function R_T obtained by the (e,e') scattering. The Landau-Migdalparameter g'_N\Delta for the N\Delta transition interaction and the effectivemass at the nuclear center m^*(r=0) are treated as adjustable parameters. Thepresent analysis indicates that the smaller g'_{N\Delta}(\approx 0.3) andm^*(0) \approx 0.7 m are preferable. We also investigate the validity of theplane wave impulse approximation (PWIA) with the effective nucleon numberapproximation for the absorption, by means of which R_L and R_T haveconventionally been extracted.Comment: RevTex 3, 29 pages, 2 tables, 8 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

Distorted wave impulse approximation analysis for spin observables in nucleon quasielastic scattering and enhancement of the spin longitudinal response