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- W2079236507 abstract "It is shown that the scattering amplitude, where unstable particles may bc produced in the intermediate states, is unitary and satisfles a dispersion relation. For sufficiently small coupling constant lambda , the amplitude can be expanded in a power series of lambda , which converges in the physical energy region. The series can be generated in a unique way by alternate applications of dispersion relations and unitarity conditions and can be continued analytically into large lambda where it diverges but is steill well defined and summable. The pole of the sum, which is always in the unphysical energy region, denotes a bound state. The analytic properties of the amplitude are discused, as a function of the coupling constant. It is surmised that the failure of the perturbation theory in the pion-nucleon interactions is not due to the largeness of the coupling constant but due to the existence of unstable particles which can be formed by particles in the initial state and will decay into particles in the final state." @default.
- W2079236507 created "2016-06-24" @default.
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- W2079236507 date "1962-07-01" @default.
- W2079236507 modified "2023-10-16" @default.
- W2079236507 title "DISPERSION RELATIONS AND PION-NUCLEON SCATTERING" @default.
- W2079236507 hasPublicationYear "1962" @default.
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