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Classification and asymptotic scaling of the light-cone wave-function amplitudes of hadrons

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Abstract.

We classify the hadron light-cone wave-function amplitudes in terms of parton helicity, orbital angular momentum, and quark-flavor and color symmetries. We show in detail how this is done for the pion, \(\rho\) meson, nucleon, and delta resonance up to and including three partons. For the pion and nucleon, we also consider four-parton amplitudes. Using the scaling law derived previously, we show how these amplitudes scale in the limit that all parton transverse momenta become large.

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References

  1. S.J. Brodsky, H.-C. Pauli, S.S. Pinsky, Phys. Rept. 301, 299 (1998), hep-ph/9705477

    Article  Google Scholar 

  2. M. Burkardt, Adv. Nucl. Phys. 23, 1 (1996), hep-ph/9505259

    Google Scholar 

  3. M. Burkardt, X. Ji, F. Yuan, Phys. Lett. B 545, 345 (2002), hep-ph/0205272

    Article  MATH  Google Scholar 

  4. V.M. Braun, S.E. Derkachov, G.P. Korchemsky, A.N. Manashov, Nucl. Phys. B 553, 355 (1999), hep-ph/9902375

    Article  Google Scholar 

  5. X. Ji, J.-P. Ma, F. Yuan, Nucl. Phys. B 652, 383 (2003), hep-ph/0210430

    Article  Google Scholar 

  6. X. Ji, J.-P. Ma, F. Yuan, Phys. Rev. Lett. 90, 241601 (2003), hep-ph/0301141

    Article  Google Scholar 

  7. S.J. Brodsky, G.R. Farrar, Phys. Rev. Lett. 31, 1153 (1973)

    Google Scholar 

  8. V.A. Matveev, R.M. Muradian, A.N. Tavkhelidze, Nuovo Cim. Lett. 7, 719 (1973)

    Google Scholar 

  9. P.L. Chung, F. Coester, Phys. Rev. D 44, 229 (1991)

    Article  Google Scholar 

  10. F. Schlumpf, Phys. Rev. D 47, 4114 (1993), hep-ph/9212250

    Article  Google Scholar 

  11. J. Bolz, P. Kroll, Z. Phys. A 356, 327 (1996), hep-ph/9603289

    Article  Google Scholar 

  12. M. Diehl, T. Feldmann, R. Jakob, P. Kroll, Eur. Phys. J. C 8, 409 (1999), hep-ph/9811253

    Article  Google Scholar 

  13. J.B. Kogut, D.E. Soper, Phys. Rev. D 1, 2901 (1970)

    Article  Google Scholar 

  14. G.P. Lepage, S.J. Brodsky, Phys. Rev. D 22, 2157 (1980)

    Article  Google Scholar 

  15. A.H. Mueller, J.-W. Qiu, Nucl. Phys. B 268, 427 (1986)

    Article  Google Scholar 

  16. A.A. Slavnov, S.A. Frolov, Theor. Math. Phys. 73, 1158 (1987)

    Google Scholar 

  17. N.V. Antonov, Theor. Math. Phys. 75, 605 (1988)

    Google Scholar 

  18. Y.V. Kovchegov, Phys. Rev. D 55, 5445 (1997), hep-ph/9701229

    Article  Google Scholar 

  19. X. Ji, F. Yuan, Phys. Lett. B 543, 66 (2002), hep-ph/0206057

    Article  Google Scholar 

  20. A.V. Belitsky, X. Ji, F. Yuan, Nucl. Phys. B 656, 165 (2003)

    Article  MATH  Google Scholar 

  21. D. Boer, P.J. Mulders, F. Pijlman, Nucl. Phys. B 667, 201 (2003)

    Article  Google Scholar 

  22. M. Jacob, G.C. Wick, Ann. Phys. 7, 404 (1959)

    MATH  Google Scholar 

  23. G.P. Lepage, S.J. Brodsky, Phys. Lett. B 87, 359 (1979)

    Article  Google Scholar 

  24. V.L. Chernyak, A.R. Zhitnitsky, Phys. Rept. 112, 173 (1984)

    Article  Google Scholar 

  25. V.M. Braun, I.E. Halperin, Z. Phys. C 48, 239 (1990)

    Google Scholar 

  26. A.S. Gorsky, Sov. J. Nucl. Phys. 50, 498 (1989)

    Google Scholar 

  27. S.J. Brodsky, M. Karliner, Phys. Rev. Lett. 78, 4682 (1997), hep-ph/9704379

    Article  Google Scholar 

  28. V.L. Chernyak, I.R. Zhitnitsky, Nucl. Phys. B 246, 52 (1984)

    Article  Google Scholar 

  29. P. Ball, V.M. Braun, Y. Koike, K. Tanaka, Nucl. Phys. B 529, 323 (1998), hep-ph/9802299

    Article  Google Scholar 

  30. I.D. King, C.T. Sachrajda, Nucl. Phys. B 279, 785 (1987)

    Article  Google Scholar 

  31. V.L. Chernyak, A.A. Ogloblin, I.R. Zhitnitsky, Z. Phys. C 42, 583 (1989)

    Google Scholar 

  32. V. Braun, R.J. Fries, N. Mahnke, E. Stein, Nucl. Phys. B 589, 381 (2000), hep-ph/0007279

    Article  Google Scholar 

  33. G.R. Farrar, H. Zhang, A.A. Ogloblin, I.R. Zhitnitsky, Nucl. Phys. B 311, 585 (1989)

    Article  Google Scholar 

  34. S.J. Brodsky, G.P. Lepage, S.A.A. Zaidi, Phys. Rev. D 23, 1152 (1981)

    Google Scholar 

  35. C.E. Carlson, Phys. Rev. D 34, 2704 (1986)

    Article  Google Scholar 

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

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Maryland, College Park, 20742, Maryland, USA

    Xiangdong Ji

  2. Institute of Theoretical Physics, Academia Sinica, 100080, Beijing, P.R. China

    Jian-Ping Ma

  3. Department of Physics, University of Maryland, College Park, 20742, Maryland, USA

    Feng Yuan

Authors
  1. Xiangdong Ji
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  2. Jian-Ping Ma
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  3. Feng Yuan
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Corresponding author

Correspondence to Xiangdong Ji.

Additional information

Received: 16 October 2003, Published online: 29 January 2004

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Ji, X., Ma, JP. & Yuan, F. Classification and asymptotic scaling of the light-cone wave-function amplitudes of hadrons. Eur. Phys. J. C 33, 75–90 (2004). https://doi.org/10.1140/epjc/s2003-01563-y

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  • DOI: https://doi.org/10.1140/epjc/s2003-01563-y

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