Different low-xbehavior of the spin structure functionsg1(x)and

S. Troshin

¹

,

N. Tyurin

²

Impact parameter dependence of low-xstructure functions

“…The model which provides explicit form of helicity functions U i (x, b) has been described elsewhere [5]. A hadron consists of the constituent quarks aligned in the longitudinal direction and embedded into the nonperturbative vacuum (condensate).…”

“…Q + → Q − occurs when the valence quark knocks out a quark with the opposite helicity and the same flavor [11]. The explicit expressions for the helicity functions U i (x, b) at small x have been obtained from the functions U i (s, b) [5] by the substitute s ≃ Q 2 /x and at small values of x they are the following:…”

“…We suppose that the deep-inelastic scattering is determined by the aligned-jet mechanism [1] and consider the b-dependence of the structure functions along the lines used in [5]. The aligned-jet mechanism is an essentially nonperturbative and allows one to relate structure functions with the discontinuities of the amplitudes of quarkhadron elastic scattering.…”

Coupling Constants and High-Energy Scattering

“…Partly because the full x-interval [0, 1] will never be covered leaving the room for doubts in non-explored regions of x (see e.g. [13]).…”