Advertisement

The pion wave function in covariant light-front dynamics

Application to the calculation of various physical observables
  • O. Leitner
  • J. -F. Mathiot
  • N. A. Tsirova
Regular Article - Theoretical Physics

Abstract.

The structure of the pion wave function in the relativistic constituent quark model is investigated in the explicitly covariant formulation of light-front dynamics. We calculate the two relativistic components of the pion wave function in a simple one-gluon exchange model and investigate various physical observables: decay constant, charge radius, electromagnetic and transition form factors. We discuss the influence of the full relativistic structure of the pion wave function for an overall good description of all these observables, including both low and high momentum scales.

Keywords

Form Factor Charge Radius Electromagnetic Form Factor Transition Form Factor Pion Decay Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    B. Aubert et al., Phys. Rev. D 80, 052002 (2009)CrossRefMathSciNetADSGoogle Scholar
  2. 2.
    H.J. Behrend et al., Z. Phys. C 49, 401 (1991)CrossRefGoogle Scholar
  3. 3.
    J. Gronberg et al., Phys. Rev. D 57, 33 (1998)CrossRefADSGoogle Scholar
  4. 4.
    C.N. Braun et al., Phys. Rev. D 8, 92 (1973)CrossRefADSGoogle Scholar
  5. 5.
    C.J. Bebek et al., Phys. Rev. D 17, 1693 (1978)CrossRefADSGoogle Scholar
  6. 6.
    H. Ackermann et al., Nucl. Phys. B 137, 294 (1978)CrossRefADSGoogle Scholar
  7. 7.
    P. Brauel et al., Z. Phys. C 3, 101 (1979)CrossRefADSGoogle Scholar
  8. 8.
    S.R. Amendolia et al., Phys. Lett. B 178, 435 (1986)CrossRefADSGoogle Scholar
  9. 9.
    S.R. Amendolia et al., Phys. Lett. B 277, 168 (1986)Google Scholar
  10. 10.
    J. Volmer et al., Phys. Rev. Lett. 86, 1713 (2001)CrossRefADSGoogle Scholar
  11. 11.
    T. Horn et al., Phys. Rev. Lett. 97, 192001 (2006)CrossRefADSGoogle Scholar
  12. 12.
    V. Tadevosyan et al., Phys. Rev. C 75, 055205 (2007)CrossRefADSGoogle Scholar
  13. 13.
    Review of Particle Physics, Phys. Lett. B 667, 1 (2008)CrossRefADSGoogle Scholar
  14. 14.
    G.P. Lepage, S.J. Brodsky, Phys. Rev. D 22, 2157 (1980)CrossRefADSGoogle Scholar
  15. 15.
    S.V. Mikhailov, N.G. Stefanis, Nucl. Phys. B 821, 291 (2009)zbMATHCrossRefADSGoogle Scholar
  16. 16.
    S. Noguera, V. Vento, Eur. Phys. J. A 46, 197 (2010)CrossRefADSGoogle Scholar
  17. 17.
    A.P. Bakulev, S.V. Mikhailov, N.G. Stefanis, Phys. Lett. B 508, 279 (2001)CrossRefADSGoogle Scholar
  18. 18.
    H.N. Li, G. Sterman, Nucl. Phys. B 381, 129 (1992)CrossRefADSGoogle Scholar
  19. 19.
    A. Schmedding, O.I. Yakovlev, Phys. Rev. D 62, 116002 (2000)CrossRefADSGoogle Scholar
  20. 20.
    F.G. Cao, T. Huang, B.Q. Ma, Phys. Rev. D 53, 6582 (1996)CrossRefADSGoogle Scholar
  21. 21.
    I.V. Musatov, A.V. Radyushkin, Phys. Rev. D 56, 2713 (1997)CrossRefADSGoogle Scholar
  22. 22.
    U. Raha, A. Aste, Phys. Rev. D 79, 034015 (2009)CrossRefADSGoogle Scholar
  23. 23.
    R. Jakob, P. Kroll, Phys. Lett. B 315, 463 (1993)CrossRefADSGoogle Scholar
  24. 24.
    R. Jakob, P. Kroll, M. Raulfs, J. Phys. G 22, 45 (1996)CrossRefADSGoogle Scholar
  25. 25.
    X.-D. Ji, J.-P. Ma, F. Yuan, Eur. Phys. J. C 33, 75 (2004)CrossRefADSGoogle Scholar
  26. 26.
    T. Huang, X.G. Wu, X.H. Wu, Phys. Rev. D 70, 053007 (2004)CrossRefADSGoogle Scholar
  27. 27.
    P.A.M. Dirac, Rev. Mod. Phys. 21, 392 (1949)zbMATHCrossRefMathSciNetADSGoogle Scholar
  28. 28.
    V.A. Karmanov, Zh. Eksp. Teor. Fiz. 71, 399 (1976) (transl.: Sov. Phys. JETP 44Google Scholar
  29. 29.
    S.J. Brodsky, H.-C. Pauli, S. Pinsky, Phys. Rep. 301, 299 (1998)CrossRefMathSciNetADSGoogle Scholar
  30. 30.
    J. Carbonell, B. Desplanques, V.A. Karmanov, J.-F. Mathiot, Phys. Rep. 300, 215 (1998)CrossRefMathSciNetADSGoogle Scholar
  31. 31.
    F. Bissey, J.-J. Dugne, J.-F. Mathiot, Eur. Phys. J. C 24, 101 (2002)CrossRefADSGoogle Scholar
  32. 32.
    P. Kroll, H. Raulfs, Phys. Lett. B 387, 848 (1996)CrossRefADSGoogle Scholar
  33. 33.
    V.M. Belyaev, M.B. Johnson, Phys. Rev. D 56, 1481 (1997)CrossRefADSGoogle Scholar
  34. 34.
    F. Schlumpf, Phys. Rev. D 50, 6895 (1994)CrossRefADSGoogle Scholar
  35. 35.
    P.L. Chung, F. Coester, W.N. Polyzou, Phys. Lett. B 205, 545 (1988)CrossRefADSGoogle Scholar
  36. 36.
    J. He, B. Julia-Diaz, Y.-B. Dong, Phys. Lett. B 602, 212 (2004)CrossRefADSGoogle Scholar
  37. 37.
    J.P.B.C. de Melo, T. Frederico, E. Pace, G. Salmé, Phys. Rev. D 73, 074013 (2006)CrossRefADSGoogle Scholar
  38. 38.
    T. Frederico, E. Pace, B. Pasquini, G. Salmé, Phys. Rev. D 80, 054021 (2009)CrossRefADSGoogle Scholar
  39. 39.
    A.F. Krutov, V.E. Troitsky, N.A. Tsirova, Phys. Rev. C 80, 055210 (2009)CrossRefADSGoogle Scholar
  40. 40.
    S.J. Brodsky, T. Huang, P. Lepage, in Particles and Fields, edited by A.Z. Capri, A.N. Kamal (Plenum Publishing Corporation, New-York, 1983)Google Scholar
  41. 41.
    V.A. Karmanov, J.-F. Mathiot, A.V. Smirnov, Phys. Rev. D 77, 085028 (2008)CrossRefADSGoogle Scholar
  42. 42.
    V.A. Karmanov, B. Desplanques, J.-F. Mathiot, Nucl. Phys. A 589, 697 (1995)CrossRefADSGoogle Scholar
  43. 43.
    N. Isgur, C.H. Llewellyn Smith, Phys. Rev. Lett. 52, 1080 (1984)CrossRefADSGoogle Scholar
  44. 44.
    N. Isgur, C.H. Llewellyn Smith, Phys. Lett. B 217, 535 (1989)CrossRefADSGoogle Scholar
  45. 45.
    N. Isgur, C.H. Llewellyn Smith, Nucl. Phys. B 317, 526 (1989)CrossRefADSGoogle Scholar
  46. 46.
    J.-F. Mathiot, Field theory on the light front, contribution to the conference LC2010: Relativistic Hadronic and Particle Physics, Valencia (Spain), June 2010, PoS (LC2010) 002Google Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • O. Leitner
    • 1
  • J. -F. Mathiot
    • 2
  • N. A. Tsirova
    • 2
  1. 1.Laboratoire de Physique Nucléaire et de Hautes Énergies, Groupe ThéorieUniversité Pierre et Marie Curie et Université Diderot, CNRS/IN2P3ParisFrance
  2. 2.Laboratoire de Physique Corpusculaire, CNRS/IN2P3Clermont UniversitéClermont-FerrandFrance

Personalised recommendations