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A critical analysis of the proton form factor with Sudakov suppression and intrinsic transverse momentum

  • Theoretical Physics
  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

The behavior of the proton magnetic form factor is studied within the modified hard scattering picture, which takes into account gluonic radiative corrections in terms of transverse separations. We parallel the analysis given previously by Li and make apparent a serious objection. The appropriate cut-off needed to render the form-factor calculation finite is both detailed and analyzed by considering different cut-off prescriptions. The use of the maximum interquark separation as a common infrared cut-off in the Sudakov suppression factor is proposed, since it avoids difficulties with the α s -singularrities and yields a proton form factor insensitive to the inclusion of the soft region which therefore can be confidently attributed to perturbative QCD. Results are presented for a variety of proton wave functions including also their intrinsic transverse momentum. It turns out that the perturbative contribution, although theoretically self-consistent forQ 2 larger than about 6 GeV2 to 10 GeV2, is too small compared to the data.

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References

  1. G.P. Lepage, S.J. Brodsky: Phys. Rev. D22 (1980) 2157

    Google Scholar 

  2. V.L. Chernyak, I.R. Zhitnitsky: Nucl. Phys. B246 (1984) 52

    Google Scholar 

  3. M. Gari, N.G. Stefanis: Phys. Lett. B175 (1986) 462; Phys. Rev. D35 (1987) 1074

    Google Scholar 

  4. I.D. King, C.T. Sachrajda: Nucl. Phys. B279 (1987) 785

    Google Scholar 

  5. C.E. Carlson, M. Gari, N.G. Stefanis: Phys. Rev. Lett. 58 (1987) 1308

    Google Scholar 

  6. C.-R. Ji, A.F. Sill, R.M. Lombard-Nelsen: Phys. Rev. D 36 (1987) 165

    Google Scholar 

  7. N.G. Stefanis: Phys. Rev. D 40 (1989) 2305; D44 (1991) 1616(E)

    Google Scholar 

  8. V.L. Chernyak, A.A. Ogloblin, I.R. Zhitnitsky: Z. Phys. C42 (1989) 569

    Google Scholar 

  9. A. Schäfer: Phys. Lett. B217 (1989) 545

    Google Scholar 

  10. N.G. Stefanis, M. Bergmann: Phys. Rev. D47 (1993) R3685

    Google Scholar 

  11. S.J. Brodsky, G.R. Farrar: Phys. Rev. D1 (1975) 1309

    Google Scholar 

  12. P. Bosted et al.: Phys. Rev. Lett. 68 (1992) 3841

    Google Scholar 

  13. P. Kroll: Proceedings of the Workshop on Hadron Structure '93, S. Dubnička, A.Z. Dubničková (Eds.), Banská Štiavnica, Slovakia, Sept. 5–10, 1993

    Google Scholar 

  14. N.G. Stefanis, M. Bergmann: Proceedings of the Workshop on Exclusive Reactions at High Momentum Transfer, C.E. Carlson, P. Stoler, M. Taiuti (Eds.), Elba, Italy, 24–26 June, 1993, World Scientific, Singapore, 1994; Proceedings of the Workshop on Quantum Field Theoretical Aspects of High Energy Physics, B. Geyer, E.-M. Ilgenfritz (Eds.), Kyffhäuser, Germany, September 20–24, 1993

    Google Scholar 

  15. S. Rock et al.: Phys. Rev. Lett. 49 (1982) 1139; R.G. Arnold et al.: Phys. Rev. Lett. 57 (1986) 174; S. Platchkov et al.: Nucl. Phys. A510 (1990) 740; S. Rock et al.: Phys. Rev. D46 (1992) 24; A. Lung et al.: Phys. Rev. Lett. 70 (1993) 718; A.F. Sill et al.: Phys. Rev. D48 (1993) 29

    Google Scholar 

  16. R.D. Field et al.: Nucl. Phys. B186 (1981) 429

    Google Scholar 

  17. F.M. Dittes, A.V. Radyushkin: Yad. Fiz. 34 (1981) 529 [Sov. J. Nucl. Phys. 34 (1981) 293]

    Google Scholar 

  18. J.M. Cornwall Phys. Rev. D 26 (1982) 1453

    Google Scholar 

  19. N. Isgur, C.H. Llewellyn-Smith: Phys. Rev. Lett. 52 (1984) 1080; Nucl. Phys. B317 (1989) 526

    Google Scholar 

  20. A.V. Radyushkin: Nucl. Phys. A527 (1991) 153c; ibid. A532 (1991) 141c

    Google Scholar 

  21. J. Botts, G. Sterman: Nucl. Phys. B325 (1989) 62

    Google Scholar 

  22. H.-N. Li, G. Sterman: Nucl. Phys. B381 (1992) 129

    Google Scholar 

  23. H.-N. Li: Phys. Rev. D48 (1993) 4243

    Google Scholar 

  24. J.C. Collins, D.E. Soper: Nucl. Phys. B193 (1981) 381; ibid. B194 (1982) 445; J.C. Collins, D.E. Soper, G. Sterman: Nucl. Phys. B261 (1985) 104

    Google Scholar 

  25. R. Jakob, P. Kroll: Phys. Lett. B315 (1993) 463 B319 (1993) 545(E)

    Google Scholar 

  26. C.E. Carlson, J. Milana: Phys. Rev. Lett. 14 (1990) 1717

    Google Scholar 

  27. M.G. Sotiropoulos, G. Sterman: Nucl. Phys. B425 (1994) 489

    Google Scholar 

  28. S.J. Brodsky, G. Farrar: Phys. Rev. Lett. 31 (1973) 1153

    Google Scholar 

  29. M. Peskin: Phys. Lett. 88B (1979) 128

    Google Scholar 

  30. M. Bergmann, N.G. Stefanis: Phys. Rev. D 48 (1993) R2990

    Google Scholar 

  31. M. Bergmánn, N.G. Stefanis: Phys. Lett. B325 (1994) 183

    Google Scholar 

  32. G.P. Lepage, S.J. Brodsky, T. Huang, P.B. Mackenzie: Banff Summer Institute, Particles and Fields 2, A.Z. Capri, A.N. Kamal (eds.) (1983)

  33. A.R. Zhitnitsky: Phys. Lett. B329 (1994) 493

    Google Scholar 

  34. E. Nagy et al.: Nucl. Phys. B150 (1979) 221

    Google Scholar 

  35. J.L. Hartmann et al.: Phys. Rev. Lett. 39 (1977) 979; W.Feissler et al.: Phys. Rev. D23 (1981) 33

    Google Scholar 

  36. J.J. Aubert et al.: Phys. Lett. 95B (1980) 306; A. Schlagböhmer: Ph.D thesis, Freiburg (1981)

    Google Scholar 

  37. P. Kroll: Proceedings of the Adriatico Research Conference on Spin and Polarization Dynamics in Nuclear and Particle Physics, Trieste, Italy, 1988; P. Kroll, M. Schürmann, W. Schweiger: Z. Phys. A338 (1991) 339; ibid. P. Kroll, M. Schürmann, W. Schweiger: Z. Phys. A342 (1992) 429; P. Kroll, M. Schürmann, W. Schweiger: Int. J. Mod. Phys. A6 (1991) 4107

  38. P. Kroll et al.: Phys. Lett. B316 (1993) 546

    Google Scholar 

  39. R. Jakob et al.: Z. Phys. A347 (1993) 109

    Google Scholar 

  40. D.E. Soper: Nucl. Phys. B163 (1980) 93

    Google Scholar 

  41. T. Hyer: Phys. Rev. D47 (1993) 3875

    Google Scholar 

  42. D.G. Richards, C.T. Sachrajda, C.J. Scott, Nucl. Phys. B286 (1987) 683; G. Martinelli, C.T. Sachrajda, Phys. Lett. B217 (1989) 319

    Google Scholar 

  43. T. Gousset, B. Pire: Saclay Report DAPNIA/SPhN-94-09 (03/1994)

  44. C. Corianò, H.-N. Li: Phys. Lett. B309 (1993) 409

    Google Scholar 

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Authors and Affiliations

  1. Fachbereich Physik, Universität Wuppertal, D-42097, Wuppertal, Germany

    J. Bolz, R. Jakob & P. Kroll

  2. Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780, Bochum, Germany

    M. Bergmann & N. G. Stefanis

Authors
  1. J. Bolz
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  2. R. Jakob
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  3. P. Kroll
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  4. M. Bergmann
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  5. N. G. Stefanis
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Supported by the Deutsche Forschungsgemeinschaft

Supported in part by BMFT, FRG under contract 06WU737

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Bolz, J., Jakob, R., Kroll, P. et al. A critical analysis of the proton form factor with Sudakov suppression and intrinsic transverse momentum. Z. Phys. C - Particles and Fields 66, 267–278 (1995). https://doi.org/10.1007/BF01496601

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  • DOI: https://doi.org/10.1007/BF01496601

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