Ip. Ivanov et al., How unitarity imposes a steep small-x rise of spin structure function g(LT)=g(1)+g(2) and breaking of DIS sum rules, PHYS REPORT, 320(1-6), 1999, pp. 175-186
We derive a unitarity relationship between the spin structure function g(LT
)(x,Q(2)) = g(1)(x,Q(2)) + g(2)(x,Q(2)), the LT interference diffractive st
ructure function and the spin-flip coupling of the pomeron to nucleons. Our
diffractive mechanism gives rise to a dramatic small-x rise g(LT)(x,Q(2))
similar to g(2)(x,(Q) over bar(2)) similar to (1/x)(2(1+delta g)), where de
lta(g) is an exponent of small-x rise of the unpolarized gluon density in t
he proton g(x,(Q) over bar(2)) at a moderate hard scale (Q) over bar(2) for
light flavour contribution and large hard scale (Q) over bar(2) similar to
m(f)(2) for heavy flavour contribution. It invalidates the Burkhardt-Cotti
ngham sum rule. The found small-x rise of diffraction driven g(LT)(x,Q(2))
is steeper than given by the Wandzura-Wilczek relation under conventional a
ssumptions on small-x behaviour of g(1)(x,Q(2)). (C) 1999 Elsevier Science
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