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6
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34547464072
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2) in order to emphasize the parallels between elastic and inelastic charge form factors.
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2) in order to emphasize the parallels between elastic and inelastic charge form factors.
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7
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34547473488
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The four momentum is defined as Q2, qμ q μ= ω2, q2, with q μ, ω, q) where ω, εi, εf is the energy transfer and q, ki, kf the three-momentum transfer of the virtual photon. Here, εi, ki and (εf, kf) are the electron energy and three-momentum in the initial and final states
-
f) are the electron energy and three-momentum in the initial and final states.
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8
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34547487764
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Experimentally, the cross section is measured for different incident energies εi and scattering angles Θ while keeping Q 2 and ω fixed. The ratio r, dσ/dΩ) el/(σMfrec) is then only a function of tan2(Θ/2, When plotting the measured ratio r against tan 2(Θ/2) the resulting curve is a linear function with a slope given by GMN2 and an intercept by GC N2, τGMN2, 1, τ, The extraction of the charge form factor becomes increasingly more inaccurate at higher momentum transfers because of its suppression by the factor τ
-
N2)/(1 + τ). The extraction of the charge form factor becomes increasingly more inaccurate at higher momentum transfers because of its suppression by the factor τ.
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-
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12
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34547452047
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The different results for the nucleon form factors obtained from both types of experiment can to some extent be understood in terms of two-photon exchange contributions, which affect the extraction of the form factors from the unpolarized cross section whereas the recoil polarization measurements are less sensitive to these corrections [12
-
The different results for the nucleon form factors obtained from both types of experiment can to some extent be understood in terms of two-photon exchange contributions, which affect the extraction of the form factors from the unpolarized cross section whereas the recoil polarization measurements are less sensitive to these corrections [12].
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18
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M. Warns, H. Schröder, W. Pfeil, and H. Rollnik, Z. Phys. C 45, 627 (1990).
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Italy, World Scientific
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C.N. Papanicolas, Workshop on Electron Nucleus Scattering, Marciana Marina, Italy, 1988, World Scientific, 1989, pg. 41-61.
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R.F. Lebed, Czech. J. Phys. 49, 1273 (1999); nucl-th/9810080. This paper contains a pedagogical introduction to this method.
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R.F. Lebed, Czech. J. Phys. 49, 1273 (1999); nucl-th/9810080. This paper contains a pedagogical introduction to this method.
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A.J. Buchmann, Nucl. Phys. A 670, 174c (2000); hep-ph/0208045; hep-ph/0207368; hep-ph/0301031.
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2].
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2].
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59
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34547432457
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Our definition is equivalent to the definition C2/M1, q, 2MΔ, G*CG*M based on the dimensionless transition form factors G*C and G*M employed by a number of authors [14, The advantage of our GC2N→Δ(Q2) and GM1 N→Δ(Q2) is that they correspond to the familiar electromagnetic multipole moments in the Q → 0 limit
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2) is that they correspond to the familiar electromagnetic multipole moments in the Q → 0 limit.
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60
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34547470891
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In this frame |q, Q2, MΔ 2, MN2, Q22/(4M Δ2))1/2, where MΔ, 1232 MeV is the Δ mass. For Q2, 0 one obtains |q, M Δ2, MN2, 2M Δ, 258 MeV
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Δ) = 258 MeV
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-
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62
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34547453637
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R. Gothe, Proceedings of NSTAR 2000, Newport News, World Scientific, 2001, eds. V. Burkert et al., pg. 31.
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64
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0002090478
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V.V. Frolov et al., Phys. Rev. Lett. 82, 45 (1998). In this paper the C2/M1 ratio is extracted from the cross section using two methods: (i) a multipole fit to the pion angular distributions, (ii) a Lagrangian model. I take the results of method (i), which uses fewer assumptions. In this context see also [56].
-
V.V. Frolov et al., Phys. Rev. Lett. 82, 45 (1998). In this paper the C2/M1 ratio is extracted from the cross section using two methods: (i) a multipole fit to the pion angular distributions, (ii) a Lagrangian model. I take the results of method (i), which uses fewer assumptions. In this context see also [56].
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67
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69
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34547482844
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2 = 0, Siegert's theorem is very well satisfied [59].
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2 = 0, Siegert's theorem is very well satisfied [59].
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70
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0345911569
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A.J. Buchmann, E. Hernández, U. Meyer, A. Faessler, Phys. Rev. C 58, 2478 (1998).
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73
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17044433817
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2. The mass relation is experimentally well satisfied.
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2. The mass relation is experimentally well satisfied.
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77
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34547406615
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p.
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p.
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