Baryon structure from Lattice QCD

  • We present recent lattice results on the baryon spectrum, nucleon electromagnetic and axial form factors, nucleon to Δ transition form factors as well as the Δ electromagnetic form factors. The masses of the low lying baryons and the nucleon form factors are calculated using two degenerate flavors of twisted mass fermions down to pion mass of about 270 MeV. We compare to the results of other collaborations. The nucleon to Δ transition and Δ form factors are calculated in a hybrid scheme, which uses staggered sea quarks and domain wall valence quarks. The dominant magnetic dipole nucleon to Δ transition form factor is also evaluated using dynamical domain wall fermions. The transverse density distributions of the Δ in the infinite momentum frame are extracted using the form factors determined from lattice QCD.

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  • [1] . Frezzotti R, Grassi P A, Sint S, Weisz P (Alpha collaboration).JHEP, 2001, 0108: 0582. Frezzotti R, Rossi G C. JHEP, 2004, 0408: 0073. Alexandrou C et al (ETM collaboration). Phys. Rev. D,2008, 78: 0145094. Alexandrou C et al (ETM collaboration). PoS, 2007,LAT2007: 087 [arXiv:0710.1173 [hep-lat]]5. Frezzotti R, Rossi G. PoS, 2007, LAT2007: 2776. Shindler A. Phys. Rept., 2008, 461: 377. Gockeler M et al (QCDSF collaboration). PoS, 2007,LAT2007: 0418. Aoki S et al (PACS-CS collaboration). Phys. Rev. D, 2009,79: 0345039. Durr S et al. Science, 2008, 322: 122410. Del Debbio L, Giusti L, Luscher M, R. Petronzio R, TantaloN. JHEP, 2007, 0702: 05611. Aoki Y et al. arXiv:0903.4155 [hep-lat]12. Aubin C et al. Phys. Rev. D, 2004, 70: 09450513. Hagler Ph et al (LHPC collaborations). Phys. Rev. D, 2008,77: 094502 [arXiv:0705.4295 [hep-lat]]14. Alexandrou C et al. Nucl. Phys. A, 2009, 825: 11515. Boyle P (RBC-UKQCD collaboration). PoS, 2007,LAT2007: 005; Allton C et al (RBC-UKQCD collaboration).Phys. Rev. D, 2008, 78: 11450916. Aoki S et al (JLQCD collaboration). Phys. Rev. D, 2008,78: 01450817. Jansen K. arXiv:0810.5634 [hep-lat]18. Alexandrou C, Koutsou G, Negele J W, Tsapalis A. Phys.Rev. D, 2006, 74: 03450819. Drach V et al. PoS, 2008, LAT2008: 123 [arXiv:0905.2894[hep-lat]]; Alexandrou C et al. in preparation.20. Walker-Loud A et al. Phys Rev. D, 2009, 79: 05450221. Michael C. Nucl. Phys. B, 1985, 259: 58; Luscher M, Wol U. Nucl. Phys. B, 1990, 339: 22222. Basak S et al. Phys. Rev. D, 2007, 76: 074504; LasscockB G et al. Phys. Rev. D, 2007, 76: 054510; GattringerC et al. Phys. Rev. D, 2008, 78: 034501; Morningstar C.arXiv:0810.4448 [hep-lat]23. Lepage P et al. Nucl. Phys. Proc. Suppl., 2002, 106: 12;Morningstar C. Nucl. Phys. A Proc., 2002, 109(Suppl.):185; Draper T et al. arXiv:0810.5512 [hep-lat]24. Alexandrou C, Stiliaris E, Papanicolas C N. PoS, 2008,LAT2008 [arXiv:0810.3982]25. Alexandrou C et al (ETMC). arXiv:0811.0724 [hep-lat]26. Kelly J J. Phys. Rev. C, 2004, 70: 06820227. Bratt J D et al (LHP collaboration). PoS, 2008, LAT2008:141. [arXiv:0810.1933 [hep-lat]]28. Ohta S, Yamazaki T. (RBC-UKQCD collaborations).arXiv:0810.0045 [hep-lat]29. Hemmert T R, Weise W. Eur. Phys. J. A, 2002, 15: 48730. Gockeler M et al. Phys. Rev. D, 2005, 71: 03450831. Yamazaki T et al. arXiv:0904.2039 [hep-lat]32. Alexandrou C, Koutsou G, Leontiou T, Negele J W,Tsapalis A. Phys. Rev. D, 2007, 76: 09451133. Yamazaki T et al (RBC-UKQCD collaborations). Phys.Rev. Lett., 2008, 100: 17160234. Hemmert T R, Procura M, Weise W. Phys. Rev. D, 2003,68: 07500935. Alexandrou C et al. Phys. Rev. D, 2008, 77: 08501236. Pascalutsa V, Vanderhaeghen M. Phys. Rev. Lett., 2005,95: 23200137. Alexandrou C et al. Phys. Rev. D, 2009, 79: 01450738. Burkardt M. Phys. Rev. D, 2000, 62: 071503; 2002, 66:119903
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C. Alexandrou. Baryon structure from Lattice QCD[J]. Chinese Physics C, 2009, 33(12): 1093-1101. doi: 10.1088/1674-1137/33/12/008
C. Alexandrou. Baryon structure from Lattice QCD[J]. Chinese Physics C, 2009, 33(12): 1093-1101.  doi: 10.1088/1674-1137/33/12/008 shu
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Received: 2009-08-07
Revised: 1900-01-01
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Baryon structure from Lattice QCD

    Corresponding author: C. Alexandrou,
  • (Department of Physics, University of Cyprus, P.O. Box 20357, Nicosia, CY-1678, Cyprus)(Computation-based Science and Technology Research Center, Cyprus Institute, 20 Kavafi Street Nicosia 2121, Cyprus)

Abstract: 

We present recent lattice results on the baryon spectrum, nucleon electromagnetic and axial form factors, nucleon to Δ transition form factors as well as the Δ electromagnetic form factors. The masses of the low lying baryons and the nucleon form factors are calculated using two degenerate flavors of twisted mass fermions down to pion mass of about 270 MeV. We compare to the results of other collaborations. The nucleon to Δ transition and Δ form factors are calculated in a hybrid scheme, which uses staggered sea quarks and domain wall valence quarks. The dominant magnetic dipole nucleon to Δ transition form factor is also evaluated using dynamical domain wall fermions. The transverse density distributions of the Δ in the infinite momentum frame are extracted using the form factors determined from lattice QCD.

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