807A new model is proposed for nuclear reactions in order to investigate the "intermediate resonances" detected experimentally in the intermediate energy region. The basic assumption is that only several nucleons of the target nucleus are excited at the compound system. Calculations are made in terms of the concept of the partial-equilibrium-compound-nucleus and the direct interaction developed by Austern-Butler-Mc.Manus. Numerical results for the level distances of the "intermediate res;mances" agree with experiment. The number of excited nucleons in the compound system is about six: and depends slightly on the excitation energy or the mass number of target nucleus (in this energy region). Further it is pointed out that outgoing channels couple with each other to form a gross channel corresponding to the "intermediate level" of the residual nucleus. The average distances between the gross channels are about 300 kev.LiE< 100 kev.Here A, E, and JE are the mass number of target nucleus, excitation energy, and energy resolution of the experiments, respectively. These sharp energy dependences of the excitation curves seem to be a general feature of intermediate energy nuclear reactions, since they are independent of incident particle, target at Lakehead University on March 23, 2015 http://ptp.oxfordjournals.org/ Downloaded from at Lakehead University on March 23, 2015 http://ptp.oxfordjournals.org/ Downloaded from * The outer nucleons and the inert core are specified hereafter by the suffices r and c, respectively. at Lakehead University on March 23, 2015 http://ptp.oxfordjournals.org/ Downloaded from * R can be chosen arbitrary in principle. However, to obtain a well defined reduced width it is most convenient to choose the same as the nuclear radius of the target nucleus. at Lakehead University on March 23, 2015 http://ptp.oxfordjournals.org/ Downloaded from * The reduced R-matrix is obtained by the same way as Thomas has developed (Phys. Rev. 97 (1955), 224). Then the strength function s~" can be calculated by the Stieltjes transform of I~.The imaginary part W is treated more precisely by S.