On two-sided estimates of the particle scattering amplitude by a potential and the amplitudes of multichannel processes
Functions permitting two-sided estimates to be obtained for the real and imaginary parts of the particle scattering amplitude by a nonspherical potential and for the amplitudes of multichannel processes are considered. To diminish the interval between the two estimates it is proposed to use Schwinger iteration of the test functions, whose multiparticle generalization permits estimation of the error in the approximation of P-coupled channels and the approximate assignment of the wave functions and the energy of the internal motion.
KeywordsWave Function Imaginary Part Internal Motion Multichannel Process Multiparticle Generalization
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- 1.N. Mott and H. Massey, Theory of Atomic Collisions [Russian translation], Mir (1969),Google Scholar
- 2.S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Fizmatgiz (1970).Google Scholar
- 3.Yu. N. Demkov, Variational Principles in Collision Theory [in Russian], Fizmatgiz (1958).Google Scholar
- 4.A. S. Davydov, Theory of the Atomic Nucleus [in Russian], Fizmatgiz (1958).Google Scholar