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Effect of a pion-pion scattering resonance on low energy pion-nucleon scattering

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Il Nuovo Cimento (1955-1965)

Summary

From the analytic properties of the pion-nucleon scattering amplitude postulated by Mandelstam, we derive a fixed momentum transfer dispersion relation in the energy variable which should be valid at low energies. This formulation allows us to evaluate the effect of a two-pion scattering resonance on pion-nucleon scattering. By a suitable choice of the pion-pion resonance parameters we are able, to lit both the experimental pion-nucleon phase shifts and the nucleon electromagnetic form factors.

Riassunto

Dalle proprietà analitiche dell’ampiezza dello scattering pione-nucleone postulate da Mandelstam, deriviamo una relazione fissa di dispersione del trasporto di momento che ha per variabile l’energia, che dovrebbe essere valida a basse energie. Questa formulazione ci permette di valutare l’effetto di una risonanza di scattering di due pioni sullo scattering pione-nucleone. Con una opportuna scelta dei parametri di risonanza pione-pione possiamo approssimare sia gli spostamenti di fase sperimentali pionenucleone sia i fattori di forma elettromagnetici del nucleone.

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References

  1. F. Bonsignori andF. Selleri:Nuovo Cimento,15, 465 (1960).

    Article  Google Scholar 

  2. I. Derado:Nuovo Cimenta,15, 853 (1960).

    Article  Google Scholar 

  3. W. R. Frazer andJ. K. Fulco:Phys. Rev. Lett.,2, 365 (1959).

    Article  ADS  Google Scholar 

  4. W. R. Frazer andJ. R. Fulco: University of California. Radiation Laboratory, Berkeley, UCRL 8880, to be published inPhys. Rev.

  5. M. Cini andS. Fubini: to be published inAnn. Phys.

  6. G. F. Chew, M. L. Goldberger, F. E. Low andY. Namhu:phys. Rev.,106, 1337 (1057).

    Article  Google Scholar 

  7. W. K. Frazer andJ. R. Fulco: Ucrl 8806, to be published inPhys. Rev.

  8. S. Madelstam:phys. Rev.,112, 1344 (1958).

    Article  ADS  MathSciNet  Google Scholar 

  9. S. Mandelstam:Phys. Rev.,115, 1752 (1959).

    Article  ADS  MathSciNet  Google Scholar 

  10. S. Fubim, Y. Nambu andY. Wataghin:Phys. Rev.,111, 329 (1958).

    Article  ADS  Google Scholar 

  11. G. F. Chew andS. Mandelstam: UCRL 8728.

  12. R. Omnès:Nuovo Cimento,8, 316 (1958).

    Article  Google Scholar 

  13. P. Federbush, M. L. Goldberger andS. B. Treiman:Phys. Rev.,112, 642 (1958).

    Article  ADS  MathSciNet  Google Scholar 

  14. M. Jacob andG. C. Wick:Ann. Phys.,7, 404 (1959).

    Article  ADS  MathSciNet  Google Scholar 

  15. R. Hofstadter: High Energy Physics Laboratory, Stanford University, Cal., HEPL 176.

  16. K. Clementel andC. Villi:Nuovo Cimento,4, 1207 (1958).

    Article  Google Scholar 

  17. R. Hofstadter, F. Bumiller andM. E. Yearian:Rev. Mod. Phys.,30, 482 (1958).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. CERN, Geneva

    J. Bowcock, W. N. Cottingiiam & D. Lurlé

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  1. J. Bowcock
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  2. W. N. Cottingiiam
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  3. D. Lurlé
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Bowcock, J., Cottingiiam, W.N. & Lurlé, D. Effect of a pion-pion scattering resonance on low energy pion-nucleon scattering. Nuovo Cim 16, 918–938 (1960). https://doi.org/10.1007/BF02771710

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  • DOI: https://doi.org/10.1007/BF02771710

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