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Chiral Dynamics: Theory and Experiment pp 352–367Cite as

Low energy experiments on π-π scattering

  • Pion-Pion And Pion-Nucleon Interactions
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Part of the book series: Lecture Notes in Physics ((LNP,volume 513))

Abstract

General interest in a precise determination of the threshold π-π amplitudes has recently increased markedly due to a controversy regarding the size of \(\left\langle {0\left| {\bar qq} \right|0} \right\rangle \), the scalar quark condensate. This paper examines the current experimental information on the π-π scattering lengths, in particular the recent low energy πN → ππN data from several laboratories and the related application of the Chew-Low-Goebel technique well below 1 GeV/c momentum. It appears that uncertainties related to the treatment of non-pion-exchange backgrounds in these studies do not yet allow an unambiguous resolution of the \(\left\langle {0\left| {\bar qq} \right|0} \right\rangle \) size. However, near-term prospects for new model-independent results of improved precision are very good.

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References

  1. S. Weinberg, Phys. Rev. Lett. 17, 616 (1966); ibid. 18, 188 (1967).

    Article  ADS  Google Scholar 

  2. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  3. J. Gasser and H. Leutwyler, Phys. Lett. B125, 325 (1983).

    ADS  Google Scholar 

  4. J. Bijnens, et al., Phys. Lett. B374, 210 (1996); Nucl. Phys. B508, 263 (1997).

    ADS  Google Scholar 

  5. J. Stern, H. Sazdjian and N. H. Fuchs, Phys. Rev. D 47, 3814 (1993)

    Article  ADS  Google Scholar 

  6. M. Knecht, B. Moussallam and J. Stern, Nucl. Phys. B429, 125 (1994).

    Article  ADS  Google Scholar 

  7. N. H. Fuchs, H. Sazdjian and J. Stern, Phys. Lett. B238, 380 (1990)

    ADS  Google Scholar 

  8. M. Knecht, et al., Nucl. Phys. B457, 513 (1995).

    Article  ADS  Google Scholar 

  9. M. Knecht, et al., Nucl. Phys. B471, 445 (1996).

    Article  ADS  Google Scholar 

  10. M. M. Nagels, et al., Nucl. Phys. B147, 189 (1979).

    Article  ADS  Google Scholar 

  11. L. Rosselet, et al., Phys. Rev. D 15, 574 (1977).

    Article  ADS  Google Scholar 

  12. A. Zylberstejn, Ph.D. thesis, University of Paris, Orsay, 1972.

    Google Scholar 

  13. E. W. Beier, et al., Phys. Rev. Lett. 29, 511 (1972); ibid. 30, 399 (1973).

    Article  ADS  Google Scholar 

  14. C. J. Goebel, Phys. Rev. Lett. 1, 337 (1958)

    Article  ADS  Google Scholar 

  15. G. F. Chew and F. E. Low, Phys. Rev. 113, 1640 (1959).

    Article  MATH  ADS  Google Scholar 

  16. J. B. Baton, G. Laurens and J. Reignier, Phys. Lett. 33B, 525 (1970).

    ADS  Google Scholar 

  17. S. M. Roy, Phys. Lett. 35B, 353 (1971).

    ADS  Google Scholar 

  18. J. L. Basdevant, J. C. Le Guillou and H. Navelet, Nuovo Cim. 7A, 363 (1972).

    Article  ADS  Google Scholar 

  19. J. L. Basdevant, C. G. Froggatt and J. L. Peterson, Nucl. Phys. B72, 413 (1974).

    Article  ADS  Google Scholar 

  20. S. D. Protopopescu et al., Phys. Rev. D 7, 1279 (1973).

    Article  ADS  Google Scholar 

  21. G. Grayer et al., Nucl. Phys. B75, 189 (1974).

    Article  ADS  Google Scholar 

  22. E. A. Alekseeva et al., Zh. Eksp. Teor. Fiz. 82, 1007 (1982) [Sov. Phys. JETP 55, 591 (1982)].

    Google Scholar 

  23. O. O. Patarakin, V. N. Tikhonov and K.N. Mukhin, Nucl. Phys. A598, 335 (1996).

    ADS  Google Scholar 

  24. R. Kamiński, L. Leśniak and J. P. Maillet, Phys. Rev. D 50, 3145 (1994)

    Article  ADS  Google Scholar 

  25. R. Kamiński and L. Leśniak, Phys. Rev. C 51, 2264 (1995).

    Article  ADS  Google Scholar 

  26. M. G. Olsson and L. Turner, Phys. Rev. Lett. 20, 1127 (1968); Phys. Rev. 181 2141 (1969).

    Article  ADS  Google Scholar 

  27. D. Počanić, in “Chiral Dynamics, Theory and Experiment”, A. M. Bernstein and B. R. Holstein, eds., Lect. Notes in Phys. Vol. 452, (Springer Verl., 1995) 95.

    Google Scholar 

  28. J. B. Lange, et al., TRIUMF preprint (1997).

    Google Scholar 

  29. M. E. Sevior, et al., Phys. Rev. Lett. 66, 2569 (1991).

    Article  ADS  Google Scholar 

  30. G. Kernel et al., Z. Phys. C48, 201 (1990).

    Google Scholar 

  31. V. Bernard, N. Kaiser and Ulf G. Meissner, Nucl. Phys. B457, 147 (1995).

    Article  ADS  Google Scholar 

  32. M. G. Olsson, Phys. Lett. B410, 311 (1997).

    ADS  Google Scholar 

  33. D. Počanić et al., proposal for LAMPF experiment E1179 (1989).

    Google Scholar 

  34. J. Lowe, et al., Phys. Rev. C 44 956 (1991).

    Article  ADS  Google Scholar 

  35. D. Počanić, et al., Phys. Rev. Lett. 72, 1156 (1994); E. Frlež, Ph.D. Thesis, Univ. of Virginia, 1993 (Los Alamos Report LA-12663-T, 1993).

    Article  ADS  Google Scholar 

  36. M. Kermani, et al., TRIUMF preprint (1997).

    Google Scholar 

  37. S. E. Bruch, M.Sc. Thesis, Univ. of Virginia (1995).

    Google Scholar 

  38. G. R. Smith, et al., Nucl. Instrum. Meth. A362, 349 (1995).

    ADS  Google Scholar 

  39. A. A. Bolokhov, M. V. Polyakov and S. G. Sherman, e-print hep-ph/9707406 (1997).

    Google Scholar 

  40. J. Lowe, contribution to this Proceedings (1997).

    Google Scholar 

  41. M. Baillargeon and P. J. Franzini, “Accuracies of K l4 Parameters at DAΦNE”, in the Second DAΦNE Handbook, L. Maiani, N. Paver and G. Pancheri, eds., 1995.

    Google Scholar 

  42. B. Adeva et al., “Lifetime measurement of π+π− atoms to test low energy QCD predictions”, proposal to the SPSLC, CERN/SPSLC 95-1 (1995).

    Google Scholar 

  43. L. G. Afanasev, et al., Phys. Lett. B308, 200 (1993).

    ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Physics, University of Virginia, 22901, Charlottesville, VA, USA

    D. Počanić

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  1. D. Počanić
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Editor information

Aron M. Bernstein Dieter Drechsel Thomas Walcher

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© 1998 Springer-Verlag

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Počanić, D. (1998). Low energy experiments on π-π scattering. In: Bernstein, A.M., Drechsel, D., Walcher, T. (eds) Chiral Dynamics: Theory and Experiment. Lecture Notes in Physics, vol 513. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104915

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  • DOI: https://doi.org/10.1007/BFb0104915

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64716-4

  • Online ISBN: 978-3-540-69103-7

  • eBook Packages: Springer Book Archive

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