Abstract
A new parameterization of quark and gluon distributions in the nucleon is suggested. In contrast to known parameterizations, it is compatible with the predictions of asymptotic-free theories and is, therefore, suitable for carrying out a comparison between QCD and experimental data. The case of “hard” gluons is investigated.
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References
V. I. Vovk, A. V. Kotikov, and S. I. Maksimov,Theor. Math. Phys.,84, 744 (1990).
V. N. Gribov and L. N. Lipatov,Sov. J. Nucl. Phys.,15, 438 (1972); 675;
L. N. Lipatov,Sov. J. Nucl. Phys.,20, 94 (1974);
G. Altarelli and G. Parisi,Nucl. Phys. B,123, Nos. 3/4, 298 (1977);
G. Altarelli,Phys. Rep.,81, 1 (1982);
Y. Dokshitzer, D. Dyakonov, and S. Troyan,Phys. Rep.,58, 269 (1980).
D. I. Gross and F. Wilczek,Phys. Rev. D,8, 3633 (1973);9, 980–993 (1974);
H. D. Politzer,Phys. Rep.,14, No. 4, 129 (1974).
A. Peterman,Phys. Rep.,53, No. 3, 157–248 (1979).
A. J. Buras,Rev. Mod. Phys.,52, No. 1, 199–276 (1980).
D. W. Duke and R. G. Roberts,Nucl. Phys. B,166, No. 2, 243–283 (1980).
W. Feller,An Introduction to Probability Theory and Its Applications, Vol. 2, Wiley, New York-London-Sydney-Toronto (1971).
A. I. Buras and K. I. Gaemers,Nucl. Phys. B,132, Nos. 3/4, 249 (1978).
F. Martin,Phys. Rev. D,19, 1382 (1979);
C. Lopez and F. I. Yndurain,Nucl. Phys. B,171, 231 (1980).
V. A. Bednyakov and others.Sov. J. Nucl. Phys.,36, 436 (1982).
I. G. Morfin and W.-K. Tung,Z. Phys. C,52, No. 1, 13–30 (1991).
S. I. Maksimov and V. I. Vovk, “Proper parameterizations of parton distributions,” Preprint ITP-86-21E, Kiev (1986).
L. V. Gribov, E. M. Levin, and M. G. Ryskin,Phys. Rep.,100, No. 1, 1 (1983);
I. Kwicinski,Z. Phys. C,29, 561 (1985);
J. C. Collins and I. Kwicinski,Nucl. Phys. B,316, 307 (1989).
M. Abramowitz and I. Stegan,Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Wiley, New York (1972).
D. I. Gross,Phys. Rev. Lett.,32, 1071 (1974);
D. I. Gross and S. B. Treiman,Phys. Rev. Lett.,32, 1145 (1974).
E. Reya,Phys. Rep.,69, No. 3, 195 (1981);
G. Eilam and M. Gluck,Phys. Lett. B,61, No. 1, 85 (1976).
L. N. Lipatov,Sov. J. Nucl. Phys.,23, 338 (1976);
M. Gluck and E. Reya,Phys. Rev. D,14, 3034 (1978).
Ya. Ya. Balitskii and L. N. Lipatov,Sov. J. Nucl. Phys.,28, 822 (1978);
L. N. Lipatov,JETP,63, 904 (1986).
A. I. Vainstein, V. I. Zakharov, V. A. Novikov, and M. A. Shifman,JETP Lett.,24, 341 (1976);
M. Gluck, R. M. Godbole, and E. Reya,Z. Phys. C,41, 667 (1989).
V. A. Matveev, R. M. Muradyan, and A. N. Tavkhelidze,Lett. Nuovo Cim.,7, 719 (1973);
S. I. Brodsky and G. R. Farrar,Phys. Rev. Lett.,31, 1153 (1973).
P. Aurenche et al.,Phys. Rev. D,39, 3275 (1989).
M. Gluck, E. Reya, and A. Vogt,Z. Phys. C,48, 471–482 (1990).
A. V. Kotikov, “The behavior of the structure functions and the ratioR=σ L /σ T in deep inelastic scattering forx∼0 andx∼1 and their scheme-invariant parameterizations,” Preprint JINR E2-88-422, Dubna (1988).
A. V. Kotikov, S. I. Maksimov, and V. I. Vovk, “QCD parameterization for structure functions of deep inelastic scattering,” Preprint ITP-89-64E, Kiev (1989).
M. Krawczyk, “2424,” Preprint CPT-90, Marseille (1990).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 111, No. 1, pp. 63–76, April, 1997.
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Kotikov, A.V., Maksimov, S.I. & Parobii, I.S. Qcd-parameterization of quark and gluon distributions in the nucleon. The case of “hard” gluons. Theor Math Phys 111, 442–453 (1997). https://doi.org/10.1007/BF02634199
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DOI: https://doi.org/10.1007/BF02634199