Angular momentum composition of the proton in the quark-parton model

L. M. Sehgal

doi:10.1103/PhysRevD.10.1663

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Angular momentum composition of the proton in the quark-parton model

L. M. Sehgal

III. Physikalisches Institut, Technische Hochschule Aachen, Aachen, West Germany
CERN, Geneva, Switzerland

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Phys. Rev. D 10, 1663 – Published 1 September, 1974

DOI: https://doi.org/10.1103/PhysRevD.10.1663

Abstract

Assuming the angular momentum of a polarized proton $J_{Z} = \frac{1}{2}$ to be the resultant of the total spin $S_{Z}$ and total orbital momentum $L_{Z}$ of its parton constituents (quarks and antiquarks), we find $S_{Z} = \frac{1}{2} (3 F - D)$ , $L_{Z} = \frac{1}{2} (1 - 3 F + D)$ . The approzimation employed is the same as that leading to the Ellis-Jaffe sum rules for polarized electron-nucleon scattering. The result for $L_{Z}$ , interpreted geometrically, implies that a polarized proton possesses a significant amount of rotation. On the assumption that $S_{Z}$ and $L_{Z}$ are dominated by $P$ and $N$ quarks, an estimate is made of the separate contribution of these constituents.

References (12)

R. P. Feynman, Photon-Hadron Interactions (Benjamin, Reading, Mass., 1972)
J. D. Bjorken, Phys. Rev. 148, 1467 (1966)
C. H. Lewellyn Smith, talk presented at the Naples meeting on Phenomenology and Models of Electromagnetic and Strong Interactions at High Energy, 1970 (unpublished) CERN Report No. TH-1188, 1970 (unpublished) M. Gourdin, CERN Report No. TH-1360, 1971 (unpublished) J. F. Kuti and V. F. Weisskopf, Phys. Rev. D 4, 3418 (1971) Feynman, [1], p. 155
Feynman, [1], p. 214
Kuti and Weisskopf, [4] J. Kuti, in Neutrino '72, Proceedings of the Euro-Physics Conference, Balatonfüred, Hungary, 1972, edited by A. Frenkel and G. Marx (OMKDK-TECHNOINFORM, Budapest, 1972), Vol. II, p. 101
H. Ebenhoh et al., Z. Phys. 241, 473 (1971)
C. N. Yang, SUNY Stony Brook Report No. ITP SB 73-51, 1973 (unpublished)
H. J. Melosh, thesis, Caltech, 1973 (unpublished) J. Weyers, lectures at the Louvain Summer School on Particle Interactions at Very High Energies, 1973 [CERN Report No. TH-1743, 1973 (unpublished)] F. J. Gilman, lectures at the 14th Scottish Universities Summer School, 1973 [SLAC Report No. SLAC-PUB-1320 (T/E) 1973 (unpublished)]
J. Ellis and R. Jaffe, Phys. Rev. D 9, 1444 (1974)
Gourdin, [3]
C. H. Llewellyn Smith, Phys. Rev. D 4, 2392 (1971)
Omitted endnote

[c1] R. P. Feynman, Photon-Hadron Interactions (Benjamin, Reading, Mass., 1972)

[c2] J. D. Bjorken, Phys. Rev. 148, 1467 (1966)

[c3] C. H. Lewellyn Smith, talk presented at the Naples meeting on Phenomenology and Models of Electromagnetic and Strong Interactions at High Energy, 1970 (unpublished) CERN Report No. TH-1188, 1970 (unpublished) M. Gourdin, CERN Report No. TH-1360, 1971 (unpublished) J. F. Kuti and V. F. Weisskopf, Phys. Rev. D 4, 3418 (1971) Feynman, [1], p. 155

[c4] Feynman, [1], p. 214

[c5] Kuti and Weisskopf, [4] J. Kuti, in Neutrino '72, Proceedings of the Euro-Physics Conference, Balatonfüred, Hungary, 1972, edited by A. Frenkel and G. Marx (OMKDK-TECHNOINFORM, Budapest, 1972), Vol. II, p. 101

[c6] H. Ebenhoh et al., Z. Phys. 241, 473 (1971)

[c7] C. N. Yang, SUNY Stony Brook Report No. ITP SB 73-51, 1973 (unpublished)

[c8] H. J. Melosh, thesis, Caltech, 1973 (unpublished) J. Weyers, lectures at the Louvain Summer School on Particle Interactions at Very High Energies, 1973 [CERN Report No. TH-1743, 1973 (unpublished)] F. J. Gilman, lectures at the 14th Scottish Universities Summer School, 1973 [SLAC Report No. SLAC-PUB-1320 (T/E) 1973 (unpublished)]

[c9] J. Ellis and R. Jaffe, Phys. Rev. D 9, 1444 (1974)

[c10] Gourdin, [3]

[c11] C. H. Llewellyn Smith, Phys. Rev. D 4, 2392 (1971)

[c12] Omitted endnote

Physical Review D

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Angular momentum composition of the proton in the quark-parton model

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