The problem of s-d exchange scattering of conduction electronsoff localized magnetic moments in dilute magnetic alloys is consideredemploying formal methods of quantum field theoretical scattering. Itis shown that such a treatment not only allows for the first time, theinclusion of multiparticle intermediate states in single particlescattering equations but also results in extremely simple and straightforward mathematical analysis. These equations are proved to beexact in the thermodynamic limit. A self-consistent integral equationfor electron self energy is derived and approximately solved. Theground state and physical parameters of dilute magnetic alloys arediscussed in terms of the theoretical results. Within the approximationof single particle intermediate states our results reduce toearlier versions. The following additional features are found as aconsequence of the inclusion of multiparticle intermediate states;
(i) A non analytic binding energy is pre sent for both,antiferromagnetic (J < o) and ferromagnetic (J > o)couplings of the electron plus impurity system.
(ii) The correct behavior of the energy difference of theconduction electron plus impurity system and thefree electron system is found which is free of unphysicalsingularities present in earlier versionsof the theories.
(iii) The ground state of the conduction electron plusimpurity system is shown to be a many-body condensatestate for J < o and J > o, both. However,a distinction is made between the usual terminologyof "Singlet" and "Triplet" ground states and natureof our ground state.
(iv) It is shown that a long range ordering, leading toan ordering of the magnetic moments can resultfrom a contact interaction such as the s-d exchangeinteraction.
(v) The explicit dependence of the excess specific heatof the Kondo systems is obtained and found to belinear in temperatures as T→ o and T ℓnT for0.3 T_K ≤ T ≤ 0.6 T_K. A rise in (ΔC/T) fortemperatures in the region 0 < T ≤ 0.1 T_K ispredicted. These results are found to be in excellentagreement with experiments.
(vi) The existence of a critical temperature for Ferromagneticcoupling (J > o) is shown. On the basis ofthis the apparent contradiction of the simultaneousexistence of giant moments and Kondo effect isresolved.
