Regge Model for Inelastic Lepton-Nucleon Scattering

Heinz Pagels

doi:10.1103/PhysRevD.3.1217

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Regge Model for Inelastic Lepton-Nucleon Scattering

Heinz Pagels

The Rockefeller University, New York, New York 10021

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Phys. Rev. D 3, 1217 – Published 1 March, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.1217

Abstract

Lepton-nucleon scattering into hadrons is analyzed according to the simple Regge-pole model. Assuming $SU (3)$ for the factorized residues, we obtain from a strong-interaction analysis of tensor meson-baryon couplings $\frac{σ T^{γ p} (ν) - σ T^{γ n} (ν)}{σ T^{γ p} (ν) - σ T^{γ p} (\infty)} = (0.26 \pm 0.05)$ , to be compared with 0.31 obtained from the total photon-nucleon photoproduction data. For the inelastic structure functions, assuming all Regge poles couple in the deep-inelastic region, we find ${}^{γ}{F_{2}}^{p} (ρ) - {}^{γ}{F_{2}}^{n} (ρ) = + 0.15 ρ^{- \frac{1}{2}}$ , $ρ = - \frac{ν}{q^{2}} > 4$ . In the analogous neutrino process we establish from these assumptions ${}^{ν}{F_{2}}^{p} (ρ) + {}^{ν}{F_{2}}^{n} (ρ) ≃ 0.66 + (3.5 \pm 1.7) ρ^{- \frac{1}{2}}$ , $ρ > 4$ . Analyzing the Adler and Gross-Llewellyn Smith sum rules, we obtain the estimates ${}^{\bar{ν}}{F_{2}}^{p} (ρ) - {}^{ν}{F_{2}}^{p} (ρ) ≃ 1.5 ρ^{- \frac{1}{2}}$ , ${}^{ν}{F_{3}}^{p} (ρ) + {}^{ν}{F_{3}}^{n} (ρ) ≃ - 8.9 ρ^{\frac{1}{2}}$ , $ρ > 4$ . We also conclude that if scaling behavior of the neutrino process occurs for $- q^{2} > 1$ Ge $V^{2}$ , then these sum rules are saturated to 90% only for energies $ν > 200$ GeV for $- q^{2} > 1$ Ge $V^{2}$ .

References (15)

J. D. Bjorken, Phys. Rev. 179, 1547 (1969)
H. R. Pagels, Phys. Letters (to be published)
E. Bloom and F. Gilman, Phys. Rev. Letters 25, 1140 (1970)
W. P. Hesse et al., Phys. Rev. Letters 25, 613 (1970)
A. Ahmadzedeh, Phys. Rev. Letters 16, 952 (1966)
V. Barger and M. Olsson, Phys. Rev. Letters 15, 930 (1965)
M. Breidenbach et al., Phys. Rev. Letters 23, 935 (1969)
E. D. Bloom et al., (MIT-SLAC Collaboration), SLAC Report No. SLAC-PUB-796, 1970 (unpublished)
S. L. Adler, Phys. Rev. 143, B1144 (1966)
D. J. Gross and C. H. Llewellyn Smith, Nucl. Phys. B14, 337 (1969)
S. L. Adler and F. J. Gilman, Phys. Rev. 156, 1598 (1967)
I. Budagov et al., Phys. Letters 30B, 364 (1969)
E. A. Paschos, NAL Summer Report No. SS-175-2022, 1970 (unpublished)
J. D. Bjorken, Phys. Rev. 148, 1467 (1966) K. Johnson and F. E. Low, Progr. Theoret. Phys. (Kyoto) Suppl. 37-38, 74 (1966)
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[c1] J. D. Bjorken, Phys. Rev. 179, 1547 (1969)

[c2] H. R. Pagels, Phys. Letters (to be published)

[c3] E. Bloom and F. Gilman, Phys. Rev. Letters 25, 1140 (1970)

[c4] W. P. Hesse et al., Phys. Rev. Letters 25, 613 (1970)

[c5] A. Ahmadzedeh, Phys. Rev. Letters 16, 952 (1966)

[c6] V. Barger and M. Olsson, Phys. Rev. Letters 15, 930 (1965)

[c7] M. Breidenbach et al., Phys. Rev. Letters 23, 935 (1969)

[c8] E. D. Bloom et al., (MIT-SLAC Collaboration), SLAC Report No. SLAC-PUB-796, 1970 (unpublished)

[c9] S. L. Adler, Phys. Rev. 143, B1144 (1966)

[c10] D. J. Gross and C. H. Llewellyn Smith, Nucl. Phys. B14, 337 (1969)

[c11] S. L. Adler and F. J. Gilman, Phys. Rev. 156, 1598 (1967)

[c12] I. Budagov et al., Phys. Letters 30B, 364 (1969)

[c13] E. A. Paschos, NAL Summer Report No. SS-175-2022, 1970 (unpublished)

[c14] J. D. Bjorken, Phys. Rev. 148, 1467 (1966) K. Johnson and F. E. Low, Progr. Theoret. Phys. (Kyoto) Suppl. 37-38, 74 (1966)

[c15] J. D. Bjorken, Phys. Rev. 163, 1767 (1967)

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Regge Model for Inelastic Lepton-Nucleon Scattering

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