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- W2048893217 abstract "The purpose of this paper is to give a detailed and practical prescription for calculating physical observables from form factors (i.e., invariant amplitudes) of the M-matrix for an arbitrary reaction containing an arbitrary number of particles having arbitrary spins. The treatment is fully relativistic. No invariance principles have been assumed (except rotational invariance in three-space) and the discussion is valid whether or not any of the usual invariance principles (parity conservation, time-reversal invariance, etc.) hold. The prescription is based on those properties of such reactions which have already been treated in the literature, as well as on several remarks that have not been discussed before. Among the latter are the factorizability of the M-matrix in spin-space, the treatment of nonsquare spin matrix tensors, and the general evaluation of traces of products of spin tensors. The expansion of the M-matrix in terms of spin-momentum tensors is explained for the general case, and a similar discussion is given for the density matrix. From these the observables are calculated, and the mathematical background of such calculations are treated in appendices. Some of the results of this paper have been used in several past papers of ours, others will appear in papers completed and soon to be published. A table containing the coefficients of the bilinear products of form factors in the various experimental observables for various reactions containing plausible spins will soon be available also as an unpublished report, as it was calculated by a computer program utilizing the procedure outlined in this paper. The program will also be available to calculate, as the need arises, any reactions not contained in the table." @default.
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- W2048893217 date "1966-10-01" @default.
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- W2048893217 title "General nondynamical formalism for reactions with particles of arbitrary spin: Rotation invariance" @default.
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- W2048893217 doi "https://doi.org/10.1016/0003-4916(66)90235-1" @default.
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