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Measurements of the Δ(1232) transition form factor and the ratio σn/σp from inelastic electron-proton and electron-deuteron scattering

L. M. Stuart2,4,10, P. E. Bosted1, L. Andivahis1,*, A. Lung1,†, J. Alster12, R. G. Arnold1, C. C. Chang5, F. S. Dietrich4, W. R. Dodge7,‡ et al.

R. Gearhart10, J. Gomez3, K. A. Griffioen8,§, R. S. Hicks6, C. E. Hyde-Wright13,∥, C. Keppel1,¶, S. E. Kuhn11,∥, J. Lichtenstadt12, R. A. Miskimen6, G. A. Peterson6, G. G. Petratos9,**, S. E. Rock1, S. H. Rokni6,††, W. K. Sakumoto9, M. Spengos1,‡‡, K. Swartz13, Z. Szalata1, and L. H. Tao1

  • 1The American University, Washington, D.C. 20016
  • 2University of California, Davis, California 95616
  • 3TJNAF, Newport News, Virginia 23606
  • 4Lawrence Livermore National Laboratory, Livermore, California 94550
  • 5University of Maryland, College Park, Maryland 20742
  • 6University of Massachusetts, Amherst, Massachusetts 01003
  • 7National Institute of Standards and Technology, Gaithersburg, Maryland 20899
  • 8University of Pennsylvania, Philadelphia, Pennsylvania 19104
  • 9University of Rochester, Rochester, New York 14627
  • 10Stanford Linear Accelerator Center, Stanford, California 94309
  • 11Stanford University, Stanford, California 94305
  • 12University of Tel-Aviv, Ramat Aviv, Tel-Aviv 69978, Israel
  • 13University of Washington, Seattle, Washington 98195

  • *Present address: XonTech Inc., Arlington, VA 22209.
  • Present address: TJNAF, Newport News, VA 23606.
  • Present address: George Washington University, Washington, D.C. 20052.
  • §Present address: The College of William and Mary, Williamsburg, VA 23187.
  • Present address: Old Dominion University, Norfolk, VA 23529.
  • Present address: Hampton University, Hampton, VA 23668.
  • **Present address: Kent State University, Kent, OH 44242.
  • ††Present address: Stanford Linear Accelerator Center, Stanford, CA 94309.
  • ‡‡Present address: DESY, Hamburg, Germany.

Phys. Rev. D 58, 032003 – Published 23 June, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.032003

Abstract

Measurements of inclusive electron-scattering cross sections using hydrogen and deuterium targets in the region of the Δ(1232) resonance are reported. A global fit to these new data and previous data in the resonance region is also reported for the proton. Transition form factors have been extracted from the proton cross sections for this experiment over the four-momentum transfer squared range 1.64<Q2<6.75(GeV/c)2 and from previous data over the range 2.41<Q2<9.82(GeV/c)2. The results confirm previous reports that the Δ(1232) transition form factor decreases more rapidly with Q2 than expected from perturbative QCD. The ratio of σn/σp in the Δ(1232) resonance region has been extracted from the deuteron data for this experiment in the range 1.64<Q2<3.75(GeV/c)2 and for a previous experiment in the range 2.4<Q2<7.9(GeV/c)2. A study has been made of the model dependence of these results. This ratio σn/σp for Δ(1232) production is slightly less than unity, while σn/σp for the nonresonant cross sections is approximately 0.5, which is consistent with deep inelastic scattering results.

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