Abstract
The symmetry property of the transition matrix for a reaction producing an isobaric multiplet (or identical particles) is derived from the generalized Pauli principle without any specific assumptions concerning the reaction mechanism. In contrast to previous predictions it is shown that for odd partial waves in the exit channel the cross section will generally not vanish at Θ = π/2 if the channel spin projections of the initial and final channels may be different.
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References
Barshay, S., Temmer, G.M.: Phys. Rev. Lett.12, 728 (1964)
Nocken, U., Quast, U., Richter, A., Schrieder, G.: Nucl. Phys. A213, 97 (1973), and Refs. therein
von Oertzen, W., Flynn, E.R., Garrett, J.D., Cosman, E.: Phys. Rev. Lett.31, 724 (1973)
von Oertzen, W., Flynn, E.R.: Preprint 1974
Gamp, A.: Ph.D. Thesis, Heidelberg 1974, unpublished, and to be published
Robson, D., Richter, A.: Ann. Phys. (N.Y.)63, 261 (1971)
See, for example, De-Shalit, A., Talmi, I.: Nuclear Shell Theory. New York: Academic Press 1963
See, for example, Goldberger, M.L., Watson, K.M.: Collision Theory. New York: John Wiley and Sons 1964
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On leave of absence from the Weizmann Institute of Science, Rehovoth, Israel.
The authors are indebted to Professor W. vonOertzen for many discussions and for sending a preprint [4] where a formula with the interference structure of Eq. (9) has been given under the assumption of a direct transfer reaction with parity transfer πT=(−)l.
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Braun-Munzinger, P., Gelbke, C.K., Harney, H.L. et al. Condition for a vanishing cross section at Θ-π/2 in Barshay-Temmer-reactions. Z Physik A 273, 57–58 (1975). https://doi.org/10.1007/BF01435757
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DOI: https://doi.org/10.1007/BF01435757