OCTOBER 15, I960 penetration factor, for the scattering of charged particles in the presence of another long-range potential. This would, for example, be the case for the scattering of protons by a nucleus, though the coefficients of these new terms might be quite small since they are proportional to the polarizability of the nucleus. New terms will also appear in nucleon-nucleon scattering due to the long-range magnetic interactions; for n-p or p-p forces it is clear from our previous discussion that there will also be additional (though generally very small) terms due to the nucleon polarizabilities.A detailed report is in preparation. This report will also include some applications, with emphasis on electron scattering by hydrogen.Recent experimental evidence points towards the importance of a long-range interaction, i.e., -m^"" 1 , in high-energy collisions of u mesons with nucleons and of nucleons with nucleons. 1 A natural model to investigate is that in which the two incident particles collide by exchanging a single virtual -n meson. In this note it is shown that if these graphs dominate in collisions in which the square of the virtual pion's fourmomentum is very small, then a simple fieldtheoretical model of such collisions results.Because the kinematics and field theory discussed in this note are not restricted only to processes involving 7r mesons and nucleons, we consider a general inelastic two-particle collision as shown in Fig. I. 2 Particles A and A' 9 with four-momenta pj and pj', exchange a boson B with four-momentum A^, and two groups of particles emerge: C, with total four-momentum P, andC, with total four-momentum P'. A and A' have rest masses w and w f , p. 2 = -w 2 and p.' 2 =w ' 2 , i i bridge . Phys 0 Soc. (London) _71, 877 (1958); and by R» M. Thaler (reference 7). and the "rest masses" W and W of C and C are defined by P^-W 2 and P' 2 = -W' 2 .The over-all barycentric coordinate system (U) is defined by FIG. 1. A general binary inelastic collision in which particles A and A' 9 with four -momenta pj and Pi > interact by the exchange of a single boson B, with four-momentum A^, leading to two groups of final state particles: C, with total four-momentum P, and C, with total four-momentum P f .
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