Extraction of Asymptotic Nucleon Cross Sections from Deuterium Data

W. B. Atwood; Geoffrey B. West

doi:10.1103/PhysRevD.7.773

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Extraction of Asymptotic Nucleon Cross Sections from Deuterium Data

W. B. Atwood^*

Geoffrey B. West^†

Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

Institute of Theoretical Physics, Department of Physics, Stanford University, Stanford, California 94305

^*Work supported by the U. S. Atomic Energy Commission.
^†Research sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, U. S. Air Force, under AFOSR Contract No. F44620-71-C-0044.

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Phys. Rev. D 7, 773 – Published 1 February, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.773

Abstract

The effect of Fermi motion on the extraction of asymptotic total neutron cross sections from deuterium data is examined in some detail. Particular attention is paid to the threshold condition on the nucleon cross sections. Using realistic hard-core wave functions to describe the deuteron, we find that, with this added correction, the Glauber mean inverse square radius of the deuteron is experimentally determined to be 0.0212±0.005 ${mb}^{- 1}$ , in good agreement with values calculated using hard-core wave functions. Previous discrepancies in $π N$ and $NN$ scattering are shown to be eliminated. When applied to the real photoabsorption total cross section our correction considerably reduces the neutron-proton difference, making it consistent with zero in the asymptotic region. We also examine deep-inelastic electron-deuteron scattering and show how the theory gives an excellent description of the quasielastic peak. For scattering into the continuum we find that the correction far away from threshold is ∼5%, while near the threshold it can become very large (∼30%). In terms of the neutron-proton ratio the correction is generally very small (i.e., the smeared ratio is an excellent approximation to the unsmeared) unless this ratio drops below ∼ ¼ near threshold.

Comments & Replies

Comment on the Extraction of Nucleon Cross Sections from Deuterium Data

Arie Bodek

Phys. Rev. D 8, 2331 (1973)

References (14)

R. J. Glauber, Phys. Rev. 100, 242 (1955) V. Franco and R. J. Glauber, ibid. 142, 1195 (1966)
G. B. West, Phys. Letters 37B, 509 (1971) Ann. Phys. (N.Y.) 74, 464 (1972)
H. Kendall, in Proceedings of the International Symposium on Electron and Photon Interactions at High Energies, 1971, edited by N. B. Mistry (Cornell Univ. Press, Ithaca, N. Y., 1972)
A. Bodek (private communication)
(a) E. Lomon and H. Feshbach, Ann. Phys. (N.Y.) 48, 94 (1968) (b) T. Hamada and I. D. Johnston, Nucl. Phys. 34, 382 (1962) (c) R. V. Reid, Jr., Ann. Phys. (N.Y.) 50, 411 (1968)
(a) W. Galbraith et al., Phys. Rev. 138, B913 (1965) (b) K. J. Foley et al., Phys. Rev. Letters 19, 330 (1967) (c) S. P. Denisov et al., Phys. Letters 36B, 415 (1971) (d) J. V. Allaby et al., ibid. 30B, 500 (1969) (e) D. V. Bugg et al., Phys. Rev. 146, 980 (1966) (f) J. Engler et al., Phys. Letters 31B, 669 (1970) (g) L. W. Jones et al., ibid. 36B, 509 (1971) (h) O. Benary et al., LRL Report No. UCRL-20000 NN, 1970 (unpublished)
J. E. Jensen et al., BNL Report No. BNL-10200, 1966 (unpublished)
D. O. Caldwell et al., Phys. Rev. Letters 25, 609 (1970) ibid.25, 613 (1970) T. A. Armstrong et al., Nucl. Phys. B41, 445 (1972)
S. J. Brodsky and J. Pumplin, Phys. Rev. 182, 1794 (1969)
S. J. BrodskyJ. PumplinQuasielastic deuterium data courtesy of SLAC Group A, Experiment No. E-61 (unpublished)
L. Durand, Phys. Rev. 115, 1020 (1959) ibid.123, 1393 (1961)
SLAC-MIT Collaboration, Experiment No. E-49a (unpublished)
E. Bloom and F. Gilman, Phys. Rev. Letters 25, 1140 (1970)
Lomon and Feshbach ([5]) H. P. Noyes (private communication)

[c1] R. J. Glauber, Phys. Rev. 100, 242 (1955) V. Franco and R. J. Glauber, ibid. 142, 1195 (1966)

[c2] G. B. West, Phys. Letters 37B, 509 (1971) Ann. Phys. (N.Y.) 74, 464 (1972)

[c3] H. Kendall, in Proceedings of the International Symposium on Electron and Photon Interactions at High Energies, 1971, edited by N. B. Mistry (Cornell Univ. Press, Ithaca, N. Y., 1972)

[c4] A. Bodek (private communication)

[c5] (a) E. Lomon and H. Feshbach, Ann. Phys. (N.Y.) 48, 94 (1968) (b) T. Hamada and I. D. Johnston, Nucl. Phys. 34, 382 (1962) (c) R. V. Reid, Jr., Ann. Phys. (N.Y.) 50, 411 (1968)

[c6] (a) W. Galbraith et al., Phys. Rev. 138, B913 (1965) (b) K. J. Foley et al., Phys. Rev. Letters 19, 330 (1967) (c) S. P. Denisov et al., Phys. Letters 36B, 415 (1971) (d) J. V. Allaby et al., ibid. 30B, 500 (1969) (e) D. V. Bugg et al., Phys. Rev. 146, 980 (1966) (f) J. Engler et al., Phys. Letters 31B, 669 (1970) (g) L. W. Jones et al., ibid. 36B, 509 (1971) (h) O. Benary et al., LRL Report No. UCRL-20000 NN, 1970 (unpublished)

[c7] J. E. Jensen et al., BNL Report No. BNL-10200, 1966 (unpublished)

[c8] D. O. Caldwell et al., Phys. Rev. Letters 25, 609 (1970) ibid.25, 613 (1970) T. A. Armstrong et al., Nucl. Phys. B41, 445 (1972)

[c9] S. J. Brodsky and J. Pumplin, Phys. Rev. 182, 1794 (1969)

[c10] S. J. BrodskyJ. PumplinQuasielastic deuterium data courtesy of SLAC Group A, Experiment No. E-61 (unpublished)

[c11] L. Durand, Phys. Rev. 115, 1020 (1959) ibid.123, 1393 (1961)

[c12] SLAC-MIT Collaboration, Experiment No. E-49a (unpublished)

[c13] E. Bloom and F. Gilman, Phys. Rev. Letters 25, 1140 (1970)

[c14] Lomon and Feshbach ([5]) H. P. Noyes (private communication)

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Extraction of Asymptotic Nucleon Cross Sections from Deuterium Data

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Comment on the Extraction of Nucleon Cross Sections from Deuterium Data

References (14)

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