Summary
We discuss the status of the Bjorken sum rule in the light of the recent data on the spin structure functions of i) the deuteron obtained by the SMC group at CERN and ii) the neutron by the E142 group at SLAC. Combining the new data with that already obtained for the proton by the EMC group and earlier SLAC/YALE collaborations, and also with stringent bounds obtained on the strange-quark polarisation, we deduce that the Bjorken system of equations is violated at worse than a 2σ level. We also show that arguments based on possible higher-twist contributions are unable to account for this discrepancy. In conclusion, an explanation in terms of non-perturbative renormalisation of the relevant Wilson coefficients is presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. D. Bjorken:Phys. Rev.,148, 1467 (1966).
J. D. Bjorken:Phys. Rev. D,1, 1376 (1970).
S. L. Adler:Phys. Rev.,143, 1144 (1966).
D. Gross andC. Llewellyn Smith:Nucl. Phys. B,14, 337 (1969).
EMC (J. Ashman et al.):Phys. Lett. B,206, 364 (1988).
EMC (J. Ashman et al.):Nucl. Phys. B,328, 1 (1989).
SMC (B. Adeva et al.):Phys. Lett. B,302, 533 (1993).
M. Lowe: these proceedings, p. 2183.
E142 (P. L. Antony et al.):Phys. Rev. Lett.,71, 959 (1993).
G. G. Petratos: these proceedings, p. 2197.
Particle Data Group (M. Anguilar-Benitez et al.):Phys. Rev. D,45 (1992).
P. G. Ratcliffe:Phys. Lett. B,242, 271 (1990).
L. A. Ahrens et al.:Phys. Rev. D,35, 785 (1987).
J. Ellis andR. L. Jaffe:Phys. Rev. D,9, 1444 (1974);10, 1669 (1974).
G. Preparata andP. G. Ratcliffe:Analysis of recent deep-inelastic scattering data pointing to a violation of the Bjorken sum rules, submitted toPhys. Rev. Lett., Milano preprint MITH 93/9.
G. Preparata andP. G. Ratcliffe:Are E142 and the SMC telling a different story?, submitted toPhys. Lett. B, Milano preprint MITH 93/12.
G. Preparata andP. G. Ratcliffe:Comment on «Analysis of data on polarized lepton-nucleon scattering», submitted toPhys. Lett. B, Milano preprint MITH 93/15.
CCFR Collaboration (E. Oltman et al.):Z. Phys. C,53, 51 (1992).
G. Preparata andJ. Soffer:Phys. Rev. Lett.,61, 1167 (1988);Erratum,62, 1213 (1989).
G. Preparata, P. G. Ratcliffe andJ. Soffer:Phys. Rev. D,42, 930 (1990).
G. Preparata, P. G. Ratcliffe andJ. Soffer:Phys. Lett. B,273, 306 (1991).
S. Brodsky, J. Ellis andM. Karliner:Phys. Lett. B,206, 309 (1988).
B. L. Ioffe andM. Karliner:Phys. Lett. B,247, 387 (1990).
S. A. Larin andJ. A. M. Vermarseren:Phys. Lett. B,259, 345 (1991).
J. Ellis andM. Karliner:Phys. Lett. B,313, 131 (1993).
I. I. Balitsky, V. M. Braun andA. V. Kolesnichenko:Phys. Lett. B,242, 245 (1990).
F. E. Close andR. G. Roberts:Consistent analysis of the spin content of the nucleon, Rutherford laboratory preprint RAL-93-040.
X. Ji andP. Unrau:Q 2 dependence of the proton's G1 structure function sum rule, submitted toPhys. Rev. Lett., MIT preprint MIT-CTP-2232.
A. Giannelli, L. Nitti, G. Preparata andP. Sforza:Phys. Lett. B,150, 214 (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ratcliffe, P.G. Violation of the bjorken sum rule and system of equations in recent nucleon spin measurements. Nuov Cim A 107, 2211–2220 (1994). https://doi.org/10.1007/BF02823614
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02823614