Do we expect light flavor sea-quark asymmetry also for the spin-dependent distribution functions of the nucleon?

preprint1999arXivOpen access

Abstract

After taking account of the scale dependence by means of the standard DGLAP evolution equation, the theoretical predictions of the chiral quark soliton model for the unpolarized and longitudinally polarized structure functions of the nucleon are compared with the recent high energy data. The theory is shown to explain all the qualitative features of the experiments, including the NMC data for F2p(x)−F2n(x)F_2^p (x) - F_2^n (x), F2n(x)/F2p(x)F_2^n (x) / F_2^p (x), the Hermes and NuSea data for dˉ(x)−uˉ(x)\bar{d}(x) - \bar{u}(x), the EMC and SMC data for g1p(x)g_1^p(x), g1n(x)g_1^n(x) and g1d(x)g_1^d(x). Among others, flavor asymmetry of the longitudinally polarized sea-quark distributions is a remarkable prediction of this model, i.e., it predicts that Δdˉ(x)−Δuˉ(x)=Cxα[dˉ(x)−uˉ(x)]Δ\bar{d}(x) - Δ\bar{u}(x) = C x^α [ \bar{d}(x) - \bar{u}(x)] with a sizable negative coefficient C≃−2.0C \simeq -2.0 (and α≃0.12α\simeq 0.12) in qualitative consistency with the recent semi-phenomenological analysis by Morii and Yamanishi.

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