Abstract
We outline and review the computations of polarized and unpolarized nucleon structure functions within the bosonized Nambu-Jona-Lasinio chiral soliton model. We focus on a consistent regularization prescription for the Dirac sea contribution and present numerical results from that formulation. We also reflect on previous calculations on quark distributions in chiral quark soliton models and attempt to put them into perspective.
Highlights
In the second substitution we introduced light-cone coordinates because they render the implementation of the Bjorken limit quite transparent: q− → ∞ and q+ → −xp+ = − x√mπ
Taking n = e3 and the projection operator given in Table 1 we find for the Dirac sea component of the longitudinal polarized structure function g1(s) ( x)
We will present the results for the rest frame (RF) structure functions in the following two subsections
Summary
In this mini-review we reflect on nucleon structure function calculations in chiral soliton models. In a certain kinematical regime, the socalled Bjorken limit to be defined below, the DIS cross-section can be parameterized as the product of the cross-section for scattering off partons and distribution functions that measure the probabilities to find these partons inside the hadron This is the factorization scheme [2]. In the low energy regime this is essentially the chiral symmetry with the pions as would-be Goldstone bosons being the basic field degrees of freedom This is outside the scope of this review.
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