Intrinsic charm contribution to the proton spin

M. V. Polyakov; A. Schäfer; O. V. Teryaev

doi:10.1103/PhysRevD.60.051502

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Intrinsic charm contribution to the proton spin

M. V. Polyakov^1,2, A. Schäfer³, and O. V. Teryaev⁴

¹Petersburg Nuclear Physics Institute, RU-188350 Gatchina, Russia
²Institut für Theoretische Physik II, Universität Bochum, D-44780 Bochum, Germany
³Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
⁴Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, RU-141980 Dubna, Russia

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Phys. Rev. D 60, 051502(R) – Published 10 August, 1999

DOI: https://doi.org/10.1103/PhysRevD.60.051502

Abstract

The charm quark contribution to the first moment of $g_{1} {(x, Q}^{2})$ is calculated using a heavy mass expansion of the divergence of the singlet axial vector current. It is shown to be small.

References (21)

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[c1] S.J. Brodsky, P. Hoyer, C. Peterson, and N. Sakai, Phys. Lett. 93B, 451 (1980); S.J. Brodsky and C. Peterson, Phys. Rev. D 23, 2745 (1981).

[c2] E. Hoffmann and R. Moore, Z. Phys. C 20, 71 (1983).

[c3] B.W. Harris, J. Smith, and R. Vogt, Nucl. Phys. B461, 181 (1996).

[c4] G. Ingelman and M. Thunman, Z. Phys. C 73, 505 (1997).

[c5] I. Halperin and A. Zhitnitsky, “Polarized intrinsic charm as a possible solution to the proton spin problem,” hep-ph/9706251; A. Blotz and E. Shuryak, Phys. Lett. B 439, 415 (1998).

[c6] M. Franz, P.V. Pobylitsa, M.V. Polyakov, and K. Goeke, Phys. Lett. B 454, 335 (1999).

[c7] I. Halperin and A. Zhitnitsky, Phys. Rev. D 56, 7247 (1997).

[c8] F. Araki, M. Musakhanov, and H. Toki, “Axial currents of virtual charm in light quark processes,” hep-ph/9808290.

[c9] A.V. Efremov and O.V. Teryaev, Report No. JINR-E2-88-287, Czech. Hadron Symp. 1988, p. 302.

[c10] G. Altarelli and G.G. Ross, Phys. Lett. B 212, 391 (1988).

[c11] R.D. Carlitz, J.C. Collins, and A.H. Mueller, Phys. Lett. B 214, 229 (1988).

[c12] L. Mankiewicz and A. Schäfer, Phys. Lett. B 242, 455 (1990).

[c13] A.V. Efremov, J. Soffer, and O.V. Teryaev, Nucl. Phys. B346, 97 (1990).

[c14] S.L. Adler, Phys. Rev. 177, 2426 (1969).

[c15] E. Stein, P. Gornicki, L. Mankiewicz, and A. Schäfer, Phys. Lett. B 353, 107 (1995).

[c16] E. Stein, M. Maul, L. Mankiewicz, and A. Schäfer, Nucl. Phys. B536, 318 (1998).

[c17] J. Balla, M.V. Polyakov, and C. Weiss, Nucl. Phys. B510, 327 (1998).

[c18] B.L. Ioffe, Phys. At. Nucl. 60, 1707 (1997).

[c19] A. Manohar, Phys. Lett. B 242, 94 (1990).

[c20] M.A. Shifman, A.I. Vainshtein, and V.I. Zakharov, Nucl. Phys. B147, 385 (1979) (Sec. 6.8); D.J. Broadhurst and S.C. Generalis, Phys. Lett. 139B, 85 (1984).

[c21] J. Bluemlein and W.L. van Neerven, Phys. Lett. B 450, 417 (1999).

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Intrinsic charm contribution to the proton spin

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