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Nucleon form factors with a fundamental length

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Il Nuovo Cimento (1955-1965)

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References

  1. L. N. Hand, D. G. Miller andR. Wilson:Rev. Mod. Phys.,35, 335 (1963).

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  2. J. R. Dunning, jr.,K. W. Chen, N. F. Ramsey, J. R. Rees, W. Shlaer, J. K. Walker andR. Wilson:Phys. Rev. Lett.,10, 500 (1963).

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  3. Compare the «many-pole» fits of ref. (1) and ofA. P. Balachandran, P. G. O. Freund andC. R. Schumacher:Phys. Rev. Lett.,12, 209 (1964), which satisfyG Mp ≈ μpG Ep for allq 2 and thus violate the relationG Mp ≈ G Ep fround (4) at largeq 2.

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  4. K. W. Chen, A. A. Cone, J. R. Dunning, jr.,S. G. F. Frank, N. F. Ramsey, J. K. Walker andR. Wilson:Phys. Rev. Lett.,11, 561 (1963); see Fig. 3. See also Fig. 5 and 7 of ref. (1).

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  5. Providedq 2 ≲ 4M p2 , see later.

  6. Basic paper:R. L. Ingraham:Nuovo Cimento,24, 1117 (1962); corrections and emendations:27, 303 (1963); application to very high energy scattering:Nuovo Cimento,32, 323 (1964). The latter paper contains a brief discussion of renormalization; for a completer treatment seeR. Genolio (to appear in theNuovo Cimento).

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  7. The proton’sEM vertex now involves four new dynamical form factorsF 3, …,F 6, which → 0 as λ → 0, and therefore give small corrections 0(λ2) to the cross-section.

  8. The subscript ┴ (see ref. (6) Basic paper:. is not to be confused with the ┴ often meaning «transverse to the incident beam».

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  9. R. L. Ingraham: (to be published).

  10. R. Genolio: (to be published).

  11. More recent data show that the experimental points forG E in Fig. 1 are too high in the intermediateq 2 range, according toR. Wilson (private communication), and that the bump aroundq 2 ≈ 0.8 (GeV/c)2 may not be real. Thus the experimental value ofx 0, which was simply chosen in Fig. 1 as 0.2 to fit the data of ref. (1,4), is indicated as larger, perhaps ≈ 1 (cf. Fig. 2).

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  13. The renormalization theory for λ>0 shows (6)Basic paper: that the renormalization «constants» are (finite) functions of the relevantk ┴ (the 3-momentum in the «measuring frame»), wherek is on the mass shell. ThusZ 1,λ in eq. (11) should properly be replaced by limZ 1,λ(=1).

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  1. New Mexico State University, University Park, New Mexico

    R. L. Ingraham & D. T. Bailey

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  1. R. L. Ingraham
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  2. D. T. Bailey
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Ingraham, R.L., Bailey, D.T. Nucleon form factors with a fundamental length. Nuovo Cim 33, 246–249 (1964). https://doi.org/10.1007/BF02734082

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