The poor agreement for low-energy p A scattering has made it necessary to introduce the corrections proposed in Refs. 24 and 51 in the p A potential. In the present work, we have considered three types of corrections: the correction for two-nucleon absorption, inclusion of the Ericson - Ericson factor (allowance for two-nucleon correlations), and inclusion of the Fermi motion of the nucleons (in the s and p elementary amplitudes).
    Our analysis has shown that the agreement for the integral characteristics of the m p +,- 12C interaction is substantially improved by taking into account the Ericson - Ericson factor and two-nucleon absorption [24- 26] (see Figs. 7a and 7b), while the other corrections have little effect on the calculated quantities. Improvements are also observed in the differential cross sections for elastic p- 12C scattering (Fig. 10), but for p+ 12C scattering (see Fig. 9) the agreement becomes worse. This is apparently due to the fact that the phenomenological parameters of the potential are obtained from data on p- mesic atoms. It is not possible to obtain substantial improvements for the p d interaction (see Figs. 7c, 7d, and 8).
    In order to clarify the extent to which two-nucleon correlations affect the K+ A and NA potentials, we performed calculations of these interactions with inclusion of the Ericson - Ericson factor in the potential (1).. We found that inclusion of this factor leads to small changes in the calculated quantities. It should be noted that a similar analysis of the second-order corrections to the potential in the impulse approximation, carried out in Ref. 56, also indicates that they give a small contribution to the measured quantities.

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