Abstract
The role playing by the “soft” (κ T < 1 GeV/c) region in the small-x behaviour ofg 1(x,Q 2) and the non-singlet structure functionf 1, NS(x, Q2) has been studied with the help of the effective QCD Lagrangian which takes into account the lightest degrees of freedom — the constituent quarks and the π-mesons (Goldstone bosons). It has been shown that the quark-quark interaction due to the pion exchange has a negative couplingg for the isovector component (I = 1 in thet-channel) off 1(x,Q 2) and isosinglet component ofg 1(x, Q2). Here the pion induced interaction changes mainly the normalization of the quark distribution (it decreasesf 1,NS I = 1 (x,Q 2) two times atx < 3·10−3) and changes slightly the effective exponents λ (ℕ1,NS ,g 1 ∼x −λ atx → 0). On the other hand due to a positive value of couplingg the value of λ increases by 15% for the isovector part ofg 1 (x,Q 2) and up to λ ≈ 0.5 (instead of λ ≈ 0.2 without the pion contribution) for the isoscalar non-singlet structure functionf 1,NS I = 0 (x,Q 2).
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V. G. Gorshkov, V. N. Gribov, L. N. Lipatov and G. V. Frolov: Sov. Journ. Nucl. Phys.6 (1967) 95
V.G. Gorshkov: Sov. Phys. Uspekhi16 (1973) 322.
B. I. Ermolaev, S. I. Manayenkov, M. G. Ryskin: Z. Phys.C69 (1996) 259
J. Bartels, B. I. Ermolaev, M. G. Ryskin: Z. Phys.C70 (1996) 273
J. Bartels, B. I. Ermolaev, M. G. Ryskin: Z. Phys.C72 (1996) 627
V. N. Gribov and L. N. Lipatov: Sov. Journ. Nucl. Phys.15 (1972) 438 and 675
G. Altarelli and G. Parisi: Nucl. Phys.B126 (1977) 298
Yu. L. Dokshitser: Sov. Phys. JETP46 (1977) 641
R. Kirschner and L. N. Lipatov: Nucl. Phys.B213 (1983) 122
S. I. Manayenkov: Yad. Fiz.60 (1997) 915
A. A. Anselm and M. G. Ryskin: Z. Phys.C68 (1995) 297
P. Amaudruz et al.: Phys. Rev. Let.66 (1991) 2712
D. Adams et al.: Phys. Lett.B329 (1994) 399;B357 (1995) 248
V. V. Sudakov: ZhETP30 (1956) 87
D. I. Dyakonov and V. Yu. Petrov: Nucl. Phys.B272 (1986) 457
A. Manohar, H. Georgi: Nucl. Phys.B234 (1984) 189
M. A. Ahmed and G. G. Ross: Nucl. Phys.B111 (1976) 441
S. Brodsky et al.: Phys. Rev.D28 (1983) 228
E. Levin et al.: Sov. Journ. Nucl. Phys.54 (1991) 867
E. T. Whittaker, G. N. Watson. A Course of Modern Analysis, Cambridge, 1927
S. I. Manayenkov: to be published in Z. Phys. C
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The work is supported by the Grant INTAS-93-283-ext
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Manayenkov, S.I., Ryskin, M.G. Infrared contribution to the double-logarithmic small-x asymptotics of structure functions. Eur. Phys. J. C 1, 271–283 (1998). https://doi.org/10.1007/BF01245817
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DOI: https://doi.org/10.1007/BF01245817