INTRODUCTION


    Many recent publications have reported studies of nucleon-nucleus (NA), [1-22] pion-nucleus (p+,-A), [21-23] and K+ -nucleus (K+A) scatttering (see Refs. 21, 22, and 34-41, and the references cited therein). The methods of theoretical analysis used in those studies can be divided into two large groups: phenomenological and microscopic approaches. In the phenomenological approach, besides the traditional fit of coefficients in the potential (see Refs. 2, 3, 5, 12, 24, 26, 33, 42, and 43), fits are made of parameters in the wave functions of the scattering states, chosen in analytic form (see Refs. 29, 34, 44, and 45). This makes it possible to obtain information about the wave functions, which can be used in the study of nuclear reactions. However, the degree to which the calculations agree with experiment proves to be somewhat worse in this case than in the traditional approach involving a fit of parameters in the potential (see, for example, Ref. 44).
    Among the multitude of microscopic approaches (see Refs. 1, 5 - 8, 10, 12- 24, 27 - 32, and 34 - 41), we can distinguish the impulse approximation (see Refs. 1, 7, 8, 10, 15- 19, 21, 23, 24, 28, 29, 31, 34-38, 40, and 41) for the construction of the xA optical potential (x is the incident particle, and A is the nucleus) as the simplest one. It is widely used at present to describe pA, p+,- A, and K+A scattering. The first calculations of pA scattering were performed at energies below 500 MeV with a potential constructed in the impulse approximation, in which the partial elementary amplitudes were considered as free parameters and were obtained from a fit to a pA experiment [46]. At the present time, a modification of the impulse approximation (involving an analytic representation of the pN amplitude) is used (see Refs. 1, 8, 10, 15, and 16) to describe pA scattering at energies above 500 MeV, where the calculation reproduces the experimental data satisfactorily.
    The application of this method proves to be successful for the description of the p+,- A interaction [23-25,28-32] at p -meson energies Tplab above 100 MeV. In the region below 100 MeV, a potential with phenomenologically chosen coefficients works well [24,26,33]. Great success has been achieved in the application of the impulse approximation in the physics of K+ mesons, where the available experimental data on K+A elastic scattering and the total interaction cross section can be described satisfactorily in this approximation [34-36,40,41].

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