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How to define physical properties of unstable particles

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Abstract

In the framework of effective quantum field theory we address the definition of physical quantities characterizing unstable particles. With the aid of a one-loop calculation, we study this issue in terms of the charge and the magnetic moment of a spin-1/2 resonance. By appealing to the invariance of physical observables under field redefinitions we demonstrate that physical properties of unstable particles should be extracted from the residues at complex (double) poles of the corresponding S -matrix.

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References

  1. P.T. Matthews, A. Salam, Phys. Rev. 112, 283 (1958)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. P.T. Matthews, A. Salam, Phys. Rev. 115, 1079 (1959)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. R. Jacob, R.G. Sachs, Phys. Rev. 121, 350 (1961)

    Article  MathSciNet  ADS  Google Scholar 

  4. S. Willenbrock, G. Valencia, Phys. Lett. B 247, 341 (1990)

    Article  ADS  Google Scholar 

  5. G. Valencia, S. Willenbrock, Phys. Rev. D 42, 853 (1990)

    Article  ADS  Google Scholar 

  6. A. Sirlin, Phys. Rev. Lett. 67, 2127 (1991)

    Article  ADS  Google Scholar 

  7. A. Sirlin, Phys. Lett. B 267, 240 (1991)

    Article  ADS  Google Scholar 

  8. S. Willenbrock, G. Valencia, Phys. Lett. B 259, 373 (1991)

    Article  ADS  Google Scholar 

  9. J. Gegelia, G. Japaridze, A. Tkabladze, A. Khelashvili, K. Turashvili, in Proceedings of the International Seminar on Quarks (Quarks ’92), Zvenigorod, Russia, 1992, edited by D.Yu. Grigoriev, V.A. Matveev, V.A. Rubakov, P.G. Tinyakov (World Scientific, Singapore, 1993).

  10. P. Gambino, P.A. Grassi, Phys. Rev. D 62, 076002 (2000)

    Article  ADS  Google Scholar 

  11. M. Passera, A. Sirlin, Phys. Rev. D 58, 113010 (1998) [arXiv:hep-ph/9804309]

    Article  ADS  Google Scholar 

  12. B.A. Kniehl, A. Sirlin, Phys. Rev. D 77, 116012 (2008) [arXiv:0801.0669 [hep-th]]

    Article  ADS  Google Scholar 

  13. G.’t Hooft, M.J.G. Veltman, Nucl. Phys. B 50, 318 (1972)

    Article  MathSciNet  Google Scholar 

  14. B.W. Lee, J. Zinn-Justin, Phys. Rev. D 5, 3121 (1972)

    Article  ADS  Google Scholar 

  15. D. Gross, in Methods in Field Theory, edited by R. Balian, J. Zinn-Justin (North-Holland, Amsterdam, 1976)

  16. H. Wittig, in Landolt-Börnstein - Group I, Elementary Particles, Nuclei and Atoms, Vol. 21 A: Elementary Particles (Springer, Berlin, 2008)

  17. C. Alexandrou et al., Phys. Rev. D 79, 014507 (2009)

    Article  ADS  Google Scholar 

  18. V.M. Braun et al., Phys. Rev. Lett. 103, 072001 (2009)

    Article  ADS  Google Scholar 

  19. S. Boinepalli, D.B. Leinweber, P.J. Moran, A.G. Williams, J.M. Zanotti, J.B. Zhang, arXiv:0902.4046 [hep-lat]

  20. S. Weinberg, Physica A 96, 327 (1979)

    Article  ADS  Google Scholar 

  21. J. Gasser, H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  22. J. Gasser, M.E. Sainio, A. Svarc, Nucl. Phys. B 307, 779 (1988)

    Article  ADS  Google Scholar 

  23. S. Scherer, Adv. Nucl. Phys. 27, 277 (2003)

    Article  Google Scholar 

  24. V. Pascalutsa, M. Vanderhaeghen, S.N. Yang, Phys. Rep. 437, 125 (2007)

    Article  ADS  Google Scholar 

  25. S. Scherer, Prog. Part. Nucl. Phys. 64, 1 (2010)

    Article  ADS  Google Scholar 

  26. L. Tiator, D. Drechsel, S. Kamalov, M.M. Giannini, E. Santopinto, A. Vassallo, Eur. Phys. J. A 19, 55 (2004)

    Article  ADS  Google Scholar 

  27. V.D. Burkert, T.S.H. Lee, Int. J. Mod. Phys. E 13, 1035 (2004)

    Article  ADS  Google Scholar 

  28. S. Capstick et al., Eur. Phys. J. A 35, 253 (2008)

    Article  ADS  Google Scholar 

  29. V.D. Burkert, AIP Conf. Proc. 1056, 348 (2008)

    Article  ADS  Google Scholar 

  30. M. Kotulla, Prog. Part. Nucl. Phys. 61, 147 (2008)

    Article  ADS  Google Scholar 

  31. S. Kamefuchi, L. O’Raifeartaigh, A. Salam, Nucl. Phys. 28, 529 (1961)

    MathSciNet  Google Scholar 

  32. S.R. Coleman, J. Wess, B. Zumino, Phys. Rev. 177, 2239 (1969)

    Article  ADS  Google Scholar 

  33. S. Scherer, H.W. Fearing, Phys. Rev. C 51, 359 (1995)

    Article  ADS  Google Scholar 

  34. S. Weinberg, The Quantum Theory of Fields, Vol. 1: Foundations (Cambridge University Press, Cambridge, England, 1995) Chapt. 7.7

  35. H.W. Fearing, S. Scherer, Phys. Rev. C 62, 034003 (2000)

    Article  ADS  Google Scholar 

  36. D. Djukanovic, J. Gegelia, S. Scherer, Phys. Rev. D 76, 037501 (2007)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Institut für Kernphysik, Johannes Gutenberg-Universität, D-55099, Mainz, Germany

    J. Gegelia & S. Scherer

  2. High Energy Physics Institute, Tbilisi State University, Tbilisi, Georgia

    J. Gegelia

Authors
  1. J. Gegelia
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  2. S. Scherer
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Correspondence to J. Gegelia.

Additional information

Communicated by J. Bijnens

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Gegelia, J., Scherer, S. How to define physical properties of unstable particles. Eur. Phys. J. A 44, 425–430 (2010). https://doi.org/10.1140/epja/i2010-10955-5

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  • DOI: https://doi.org/10.1140/epja/i2010-10955-5

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