Summary
An approximate evaluation is made of the dispersion relations for the production of pions in electron-nucleon collisions. The results are applicable at low energies in the final pion-nucleon barycentric system where the assumption that the (3, 3) state dominates the dispersion integrals is expected to be valid. Effects due to nuclear recoil and crossing symmetry are treated exactly to all orders.
Riassunto
Si fa una valutazione approssimata delle relazioni di dispersione per la produzione di pioni nelle collisioni elettrone nucleone. I risultati sono applicabili a basse energie al sistema baricentrico finale pione-nucleone, in cui ci si attende che sia valida l’ipotesi che lo stato (3, 3) domina gli integrali di dispersione. Gli effetti dovuti al rinculo nucleare e alla simmetria incrociata vengono trattati esattamente in tutti gli ordini.
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References
S. Fubini, Y. Nambu andV. Wataghin:Phys. Rev.,111, 329 (1958). Hereafter referred to as F.N.W.
G. Hofstadter:Rev. Mod. Phys.,28, 214 (1956). See also other papers quoted in this article.
G. F. Chew, M. L. Goldberger, F. E. Low andY. Nambu:Phys. Rev.,106, 1345 (1957).
However, the arguments ofCharap andFubini (Nuovo Cimento,14, 540 (1959)) even cast doubts on the validity of this expansion in this case.
R. Blankenbecler andS. Gartenhaus:Phys. Rev.,116, 1297 (1959).
R. M. Dalitz andD. R. Yennie:Phys. Rev.,105, 1598 (1957);R. B. Curtis:Phys. Rev.,104, 211 (1956).
S. Gartenhaus andR. Blankenbecler:Phys. Rev.,116, 1305 (1959).
W. Frazer andJ. Fulco, and University of California at Berkeley, Preprint U.C.R.L. 8806.
W. Frazer:Phys. Rev.,115, 1763 (1959).
W. K. H. Panofsky andE. A. Allton:Phys. Rev.,110, 1155 (1958). Further experiments are in progress. We wish to thank Prof.Panofsky for many interesting conversations concerning his experiments.
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Supported in part by Air Force of Scientific Research and the Atomic Energy Commission.
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Biankenbecler, R., Gartenhaus, S., Huff, R. et al. Electroproduction ofπ-mesons. Nuovo Cim 17, 775–785 (1960). https://doi.org/10.1007/BF02727568
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DOI: https://doi.org/10.1007/BF02727568