Diffraction driven steep rise of spin structure function gLT= g1+ g2 at small x and DIS sum rules
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 structure 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)∼g...
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| Vydáno v: | Physics letters. B Ročník 457; číslo 1; s. 218 - 226 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
1999
|
| ISSN: | 0370-2693, 1873-2445 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | 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 structure 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)∼g
2(x,
Q
2)∼(1/x)
2(1+δ
g)
, where
δ
g
is an exponent of small-
x rise of the unpolarized gluon density in the proton
g(x,
Q
2)
at a moderate hard scale
Q
2
for light flavour contribution and large hard scale
Q
2∼m
f
2
for heavy flavour contribution. It invalidates the Burkhardt-Cottingham 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 assumptions on small-
x behaviour of
g
1(
x,
Q
2). |
|---|---|
| ISSN: | 0370-2693 1873-2445 |
| DOI: | 10.1016/S0370-2693(99)00511-0 |