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- W4252686728 abstract "It is shown that for many-channel, arbitrary spin, potential-scattering problems, the previously defined continuation of the S matrix to nonphysical values of total angular momentum is such that one can make a generalized Sommerfeld-Watson transformation on the partial-wave expansions of the scattering amplitudes. An important symmetry of the partial-wave amplitudes is obtained, thus permitting an analogue of Mandelstam's modification of the Sommerfeld-Watson transform. It is shown that a pole of the S matrix at J = α is associated with a contribution to the scattering amplitude which behaves like zα for large values of z = cos θ, θ being the scattering angle, and that such contributions dominate over the remaining integral terms. Exchange potentials and the generalization of J-parity are discussed, and some results on the positions of poles of the S matrix are derived." @default.
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- W4252686728 date "1963-01-01" @default.
- W4252686728 modified "2023-10-18" @default.
- W4252686728 title "On complex angular momentum in many-channel potential-scattering problems, II" @default.
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- W4252686728 doi "https://doi.org/10.1016/0003-4916(63)90222-7" @default.
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