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ππ Interaction in final state processes

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Il Nuovo Cimento (1955-1965)

Summary

A method is proposed to take proper care of final state interactions in processes producing two pions. This method is applied to the analysis of theT=0 pion-pion interaction in the reaction p+d→3He+2π. It is shown that the anomaly observed byAbashian, Booth andCrowe can be explained assuming a ππ scattering length of the order of two pion Compton wave lengths.

Riassunto

Si propone un metodo di calcolo per tener conto delle interazioni nello stato finale dei processi che producono due pioni. Questo metodo viene applicato all’analisi della interazione pione-pione nella reazione p+d→3He+2π. Si mostra che l’anomalia osservata daAbashian, Booth eCrowe può essere spiegata supponendo che la lunghezza di scattering sia dell’ordine di due lunghezze d’onda Compton.

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References

  1. A. Abashian, N. E. Booth andK. M. Crowe:Phys. Rev. Lett.,5, 258 (1960).

    Article  ADS  MATH  Google Scholar 

  2. N. E. Booth, A. Abashian andK. M. Crowe:Rev. Mod. Phys.,33, 393 (1961).

    Article  ADS  Google Scholar 

  3. N. E. Booth, A. Abashian andK. M. Crowe:Phys. Rev. Lett.,7, 35 (1961).

    Article  ADS  Google Scholar 

  4. W. R. Frazer andJ. R. Fulco:Phys. Rev.,117, 1609 (1960);Phys. Rev. Lett.,2, 365 (1959).

    Article  MathSciNet  ADS  Google Scholar 

  5. G. Puppi et al.:Proceedings of the Aix-en-Provence Conference on Elementary Particles (to be published).

  6. A. R. Erwin, R. March, W. D. Walker andE. West:Phys. Rev. Lett.,6, 628 (1961) and Reference mentioned above.

    Article  ADS  MATH  Google Scholar 

  7. D. Stonehill, C. Balthay, H. Courant, W. Fickinger, E. C. Fowler, H. Kraybill, J. Sandweiss, J. Sanford andJ. Taft:Phys. Rev. Lett.,6, 624 (1961).

    Article  ADS  Google Scholar 

  8. G. F. Chew andS. Mandelstam:Phys. Rev.,119, 467 (1960).

    Article  MathSciNet  ADS  Google Scholar 

  9. B. H. Bransden andJ. W. Moffat:Phys. Rev. Lett.,6, 708 (1961);G. F. Chew, S. Mandelstam andH. P. Noyes:Phys. Rev.,119, 478 (1960).

    Article  ADS  Google Scholar 

  10. M. Jacob, G. Mahoux andR. Omnès:Procedings of the Aix-en-Provence Conference on Elementary particles (to be published).

  11. K. M. Watson:Phys. Rev.,88, 1163 (1952). For applications to this problem seeT. N. Troung:Phys. Rev. Lett.,6, 308 (1961);B. R. Desai:Phys. Rev. Lett.,6, 497 (1961).

    Article  ADS  MATH  Google Scholar 

  12. R. Omeès:Nuovo Cimento,21, 524 (1961).

    Article  Google Scholar 

  13. N. I. Mushkelishvili:Singular Integral Equations (1956);R. Omnès:Nuovo Cimento,8, 316 (1958).

  14. We are indebted to Dr.T. Truong for pointing out to us the existence of the simpler expression given in (6). See for instance Goldberger’s Lecture Notes at les Houches Summer School 1960 (Paris), p. 105.

    Article  ADS  MATH  Google Scholar 

  15. OurS wave solutions are rather insensitive to theJ=1,T=1 resonance width as long as the first derivative symmetry relations are not checked. This weak dependence betweenS andP waves is in agreement with the results obtained byBransden andMoffat (9).

    Article  ADS  Google Scholar 

  16. C. Ceolin andR. Stroffolini: Preprint.

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Author notes

  1. R. Omeès

    Present address: Laboratoire de Physique, Ecole Polytechnique, Paris

Authors and Affiliations

  1. Centre d’Etudes Nucléaires de Saclay, France

    M. Jacob & G. Mahoux

  2. Institut des Hautes Etudes Scientifiques, Paris

    R. Omeès

Authors
  1. M. Jacob
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  2. G. Mahoux
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  3. R. Omeès
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Additional information

Postal address: BP no 2 — Gif-sur-Yvette (S.-et-O.)

This work was begun while the last named author was at the Centre d’Etudes Nucléaires de Saclay.

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Jacob, M., Mahoux, G. & Omeès, R. ππ Interaction in final state processes. Nuovo Cim 23, 838–847 (1962). https://doi.org/10.1007/BF02733126

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  • DOI: https://doi.org/10.1007/BF02733126

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