RT Journal Article
T1 Boost operators in Coulomb gauge QCD: the pion form factor and Fock expansions in phi radiative decays
A1 Llanes Estrada, Felipe José
A1 Gómez Rocha, M
A1 Villalba Chávez, S
AB In this article we re-derive the Boost operators in Coulomb Gauge Yang-Mills theory employing the path integral formalism and write down the complete operators for QCD. We immediately apply them to note that what are usually called the pion square, quartic ... charge radii, defined from derivatives of the pion form factor at zero squared momentum transfer, are completely blurred out by relativistic and interaction corrections, so that it is not clear at all how to interpret these quantities in terms of the pion charge distribution. The form factor therefore measures matrix elements of powers of the QCD boost and Moeller operators, weighted by the charge density in the target's rest frame. In addition we remark that the decomposition of the n' wave function in quarkonium, gluonium, ... , components attempted by the KLOE Collaboration combining data from Φ radiative decays, requires corrections due to the velocity of the final-state meson recoiling against a photon. This will be especially important if such decompositions are to be attempted with data from J/ψ decays.
PB Springer
SN 1434-6001
YR 2010
FD 2010-06
LK https://hdl.handle.net/20.500.14352/43948
UL https://hdl.handle.net/20.500.14352/43948
LA eng
NO 1. M.E. Rose, Phys. Rev. 73, 279 (1948).2. J. Gasser, U.-G. Meißner, Nucl. Phys. B 357, 90 (1991).3. F.K. Guo, C. Hanhart, F.J. Llanes-Estrada, U.G. Meissner, Phys. Lett. B 678, 90 (2009) [arXiv:0812.3270 [hepph]].4. NA7 Collaboration (S.R. Amendolia et al.), Nucl. Phys. B 277, 168 (1986).5. A. Huber et al., Phys. Rev. Lett. 80, 468 (1998).6. J.L. Friar, J. Martorell, D.W.L. Sprung, Phys. Rev. A 56, 4579 (1997) [arXiv:nucl-th/9707016].7. J.L. Friar, Ann. Phys. (N.Y.) 81, 332 (1973).8. S.J. Brodsky, J.R. Primack, Ann. Phys. (N.Y.) 52, 315 (1969).9. H.M. Choi, C.R. Ji, Phys. Rev. D 77, 113004 (2008) [arXiv:0803.2604 [hep-ph]].10. E.P. Biernat, W. Schweiger, K. Fuchsberger, W.H. Klink, Phys. Rev. C 79, 055203 (2009) [arXiv:0902.2348 [nuclth]].11. W. Plessas, S. Boffi, L.Y. Glozman, W. Klink, M. Radici, R.F. Wagenbrunn, Nucl. Phys. A 699, 312 (2002).12. S.J. Brodsky, G.F. de Teramond, Phys. Rev. D 77, 056007 (2008) [arXiv:0707.3859 [hep-ph]].13. A. Szczepaniak, C.R. Ji, S.R. Cotanch, Phys. Rev. C 52, 2738 (1995).14. KLOE Collaboration (B. Di Micco), Acta Phys. Pol. Suppl. 2, 63 (2009).15. KLOE Collaboration (B. Di Micco), Eur. Phys. J. A 38, 129 (2008).16. A. Bramon, R. Escribano, M.D. Scadron, Phys. Lett. B 503, 271 (2001) [arXiv:hep-ph/0012049].17. R. Escribano, J. Nadal, JHEP 0705, 006 (2007) [arXiv:hep-ph/0703187].18. R. Escribano, Eur. Phys. J. C 65, 467 (2010) [arXiv:0807.4201 [hep-ph]].19. R. Escribano, Nucl. Phys. Proc. Suppl. 181-182, 226 (2008) [arXiv:0807.4205 [hep-ph]].20. P. Maris, P.C. Tandy, Phys. Rev. C 62, 055204 (2000) [arXiv:nucl-th/0005015].21. R.G. Sachs, Phys. Rev. 126, 2256 (1962).22. J.J. Kelly, Phys. Rev. C 66, 065203 (2002) [arXiv:hepph/ 0204239].23. Particle Data Group (C. Amsler et al.), Phys. Lett. B 667, 1 (2008).24. P.A. Boyle et al., JHEP 0807, 112 (2008) [arXiv:0804.3971 [hep-lat]].25. JLQCD and TWQCD Collaborations (S. Aoki et al.), Phys. Rev. D 80, 034508 (2009) [arXiv:0905.2465 [heplat]].26. R. Frezzotti, V. Lubicz, S. Simula, Phys. Rev. D 79, 074506 (2009) [arXiv:0812.4042 [hep-lat]].27. S. Villalba-Chavez, R. Alkofer, K. Schwenzer, arXiv: 0807.2146 [hep-th].28. D. Zwanziger, Nucl. Phys. B 518, 237 (1998).29. P. Watson, H. Reinhardt, Phys. Rev. D 75, 045021 (2007) [arXiv:hep-th/0612114].30. P. Besting, D. Schutte, Phys. Rev. D 42, 594 (1990).31. V.N. Gribov, Nucl. Phys. B 139, 1 (1978).32. D. Zwanziger, Phys. Rev. D 69, 016002 (2004) [arXiv:hepph/ 0303028].33. H. Reinhardt, P. Watson, Phys. Rev. D 79, 045013 (2009) [arXiv:0808.2436 [hep-th34. N.H. Christ, T.D. Lee, Phys. Rev. D 22, 939 (1980) [Phys. Scripta 23, 970 (1981)].35. C. Feuchter, H. Reinhardt, Phys. Rev. D 70, 105021 (2004) [arXiv:hep-th/0408236].36. A.P. Szczepaniak, E.S. Swanson, Phys. Rev. D 65, 025012 (2002) [arXiv:hep-ph/0107078].37. A.P. Szczepaniak, Phys. Rev. D 69, 074031 (2004) [arXiv:hep-ph/0306030].38. D.R. Campagnari, H. Reinhardt, A. Weber, Phys. Rev. D 80, 025005 (2009) [arXiv:0904.3490 [hep th]].39. P. Watson, H. Reinhardt, Eur. Phys. J. C 65, 567 (2010)[arXiv:0812.1989 [hep-th]].40. P. Bicudo, S.R. Cotanch, F.J. Llanes-Estrada, D.G. Robertson, Eur. Phys. J. C 52, 363 (2007) [arXiv:hepph/ 0602172].41. G.P. Lepage, CLNS-80/447, 1980.42. F.J. Llanes-Estrada, S.R. Cotanch, Nucl. Phys. A 697, 303 (2002) [arXiv:hep-ph/0101078].43. A. Szczepaniak, E.S. Swanson, C.R. Ji, S.R. Cotanch, Phys. Rev. Lett. 76, 2011 (1996) [arXiv:hep-ph/9511422].
NO © Società Italiana di Fisica / Springer-Verlag 2010
NO Austrian science fund (FWF)
NO UCM-BSCH
DS Docta Complutense
RD 15 may 2024