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Corrections to Weinberg's pion-pion scattering lengths

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Zeitschrift für Physik A Hadrons and nuclei

Abstract

We derive twice subtracted dispersion sum rules for theππ scattering lengths. The subtraction constants are the Weinberg values, and the dispersion integrals yield small corrections in good agreement with other authors.

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References

  1. Weinberg, S.: Phys. Rev. Letters17, 616 (1966)

    Article  ADS  Google Scholar 

  2. Brown, L. S., Goble, R. L.: Phys. Rev. Letters20, 346 (1968)

    Article  ADS  Google Scholar 

  3. Krinsky, S.: Phys. Rev. D2, 1168 (1970)

    ADS  Google Scholar 

  4. Kang, J. S., Lee, B. W.: Phys. Rev. D3, 2814 (1971)

    ADS  Google Scholar 

  5. Widder, F.: Acta Phys. Austriaca34, 264 (1971)

    Google Scholar 

  6. Iliopoulos, J.: Nuovo Cimento52A, 192 (1967);53A, 552 (1968)

    Article  ADS  Google Scholar 

  7. Khuri, N. N.: Phys. Rev.153, 1477 (1967)

    Article  ADS  Google Scholar 

  8. Graham, R. H., Johnson, R. C.: Phys. Rev.188, 2362 (1969)

    Article  ADS  Google Scholar 

  9. Pennington, M. R., Pond, P.: Novo Cimento3A, 548 (1971)

    Article  ADS  Google Scholar 

  10. Morgan, D., Shaw, G.: Nucl. Phys. B43, 365 (1972)

    Article  ADS  Google Scholar 

  11. Arnowitt, R.: Proc. Conf. on ππ and Interactions, Angonne, May 1969

  12. Carbone, G., Donini, E., Sciuto, S., Furlan, G.: Nuovo Cimento58A, 668 (1968)

    Article  ADS  Google Scholar 

  13. Dahmen, H. D., Rothe, K. D.: Nucl. Phys. B15, 45 (1970)

    Article  ADS  Google Scholar 

  14. Nasrallah, N. F.: Nucl. Phys. B8, 623 (1968); B11, 240 (1969)

    ADS  Google Scholar 

  15. Kang, K., Akiba, T.: Phys. Rev.164, 1836 (1967)

    Article  ADS  Google Scholar 

  16. Meiere, F. T., Sugawara, M.: Phys. Rev.153, 1702 (1967)

    Article  ADS  Google Scholar 

  17. Basdevant, J. L., Froggatt, C. D., Petersen, J. L.: CERN-Preprints TH 1518, 1519 (1972)

  18. Pennington, M. R., Protopopescu, S. D.: preprint LBL-963 (1972)

  19. Roy, S. M.: Phys. Lett.36B, 353 (1971)

    Article  ADS  Google Scholar 

  20. Basdevant, J. L., le Guillou, L. C., Navelet, H.: Nuovo Cimento7A, 363 (1972)

    Article  ADS  Google Scholar 

  21. Olsson, M. G.: Phys. Rev.162, 1338 (1967)

    Article  ADS  Google Scholar 

  22. Wanders, G.: Nuovo Cimento63A, 108 (1969)

    Article  ADS  MathSciNet  Google Scholar 

  23. Roskies, R.: Phys. Rev. D2, 247, 1649 (1970)

    ADS  Google Scholar 

  24. Grassberger, P., Kühnelt, H.: to be published

  25. Basdevant, J. L., Hayot, F.: CERN-Preprint TH 1369 (1971)

  26. See, e.g., Krinsky, S.: Phys. Rev. D4, 1046 (1971)

    ADS  Google Scholar 

  27. Baton, J. P., Laurens, G., Reignier, J.: Phys. Lett.33B, 525, 528 (1970)

    Article  ADS  Google Scholar 

  28. Protopopescu, S. D., Alston-Garnjost, M., Barbaro-Galtieri, A., Flatte, S. M., Friedman, J. H., Lasinski, T. A., Lynch, G. R., Rabin, M. S., Solmitz, F. T.: Phys. Rev. D7, 1279 (1973)

    ADS  Google Scholar 

  29. Grayer, G., Hyams, B., Jones, C., Schiein, P., Blum, W., Dietl, H., Koch, W., Lorenz, E., Lütjens, G., Männer, W., Meissburger, J., Ochs, W., Stierlein, U., Weilhammer, P.: CERN-Preprint (1972)

  30. Eastabrooks, P., Martin, A. D., Grayer, G., Hyamas, B., Jones, C., Weilhammer, P., Blum, W., Dietl, H., Koch, W., Lorenz, E., Lütjens, G., Männer, W., Meissburger, J., Stierlein, U.: CERN-Preprint TH 1661 (1973)

  31. Basdevant, J. L.: Reignier, J.: Herceg Novi Lectures (1970)

  32. Zylbersztejn, A., Basile, P., Bourquin, M., Boymond, J. P., Diamant-Berger, A., Exterman, P., Kunz, P., Mermod, R., Suter, H., Turlay, R.: Phys. Lett.38B, 457 (1972)

    Article  ADS  Google Scholar 

  33. Morgan, D., Shaw, G.: Phys, Rev. D2, 520 (1970)

    ADS  Google Scholar 

  34. Morgan, D., Pisüt, J.: Springer tracts 55 (1970)

  35. Brandt, R. A., Kaufmann, A., Valenti, G., Preparata, G.: Phys. Rev. D6, 828 (1972)

    ADS  Google Scholar 

  36. Le Guillou, J. C., Morel, A., Navelet, H.: Nuovo Cimento5A, 659 (1971)

    Article  ADS  Google Scholar 

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Grassberger, P. Corrections to Weinberg's pion-pion scattering lengths. Z. Physik 264, 241–252 (1973). https://doi.org/10.1007/BF01396280

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  • DOI: https://doi.org/10.1007/BF01396280

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