Making allowance for recoil nucleon motion in chiral bag model

The role of recoil corrections in the process of pion scattering on nucleon is investigated within the framework of chiral bag model (CBM). Cases are considered when pions may get inside the bag and interact with quarks either on the bag surface (version1) or in its whole volume (version 2). It is shown that in CBM the consideration of recoil corrections in mNN-vertex is reduced to renormalization of fπNN-interaction constant fπNN(ved)=(1+1/MR)fπNNstat, whose value is in better agreement with experiment than in statistical approximation. The contribution of recoil effects to the amplitude of πN/scattering is very much dependent on total momentum of the system, which is due to the action of the boost operator on spin variables. The contribution of recoil corrections to scattering lengths in the J=1/2 channel is found to be about 30% and in the J=3/2 it is insignificant. 13 refs.; 2 tabs