Experiment E04-113 at Jefferson Lab Hall C plans to measure the beam-target double-spin asymmetries in semi-inclusive deep-inelastic ~ p(e, eh)X and ~ d(e, eh)X reactions (h = π, π,K orK) with a 6 GeV polarized electron beam and longitudinally polarized NH3 and LiD targets. The high statistic data will allow a spin-flavor decomposition in the region of x = 0.12 ∼ 0.41 at Q = 1.21 ∼ 3.14 GeV. Es...

Let us work on the numerator. The aim is to rewrite it as a linear combination of γ piece, iσqν piece and q μ piece. The reason is the following. It is only γ piece which receives the wave function renormalization at this order, as we will see later. Therefore, iσqν piece is finite by itself. Furthermore, this is the piece which generates the anomalous magnetic moment, and hence it is useful to...

An incomparable feature of the chiral quark soliton model as compared with many other effective models like the MIT bag model is that it can give reasonable predictions not only for quark distributions but also for antiquark distributions. This will be exemplified by the argument on the positivity constraint for ū(x) + d̄(x) as well as the Soffer inequality for quark and antiquark distributions....

This assumption allows us to make a priori estimates of weak solutions satisfying the entropy inequality ∂tu+ divQ(u) ≤ 0, such that u(·, t)− ū is square integrable. The purpose of this paper is to study viscous extensions of (1) that are compatible with the entropy, in the sense that there is an entropy inequality for classical solutions of the extended system. In our weakest setting, such an ...

In this paper we study the existence of a solution in Lloc(Ω) to the Euler-Lagrange equation for the variational problem (0.1) inf ū+W 1,∞ 0 (Ω) Z Ω (1ID(∇u) + g(u))dx, with D convex closed subset of Rn with non empty interior. By means of a disintegration theorem, we next show that the Euler-Lagrange equation can be reduced to an ODE along characteristics, and we deduce that there exists a sol...

Let ω(Φ) < i be arbitrary. In [28], it is shown that 2 ∩ ‖OD,Θ‖ < ū ( iQ,E ± φ̃,K + c ) . We show that cos (1 ·R′) < ‖j‖ ± L 6= log (−א0) 1 Ry ∪ l̂|D| ≥ Y (s) i ∨ π − V ′′−1 (√ 2‖u‖ ) . This reduces the results of [28] to the continuity of almost everywhere differentiable morphisms. It is not yet known whether log−1 ( 1 f ′′ ) ≤ ⊕ r∈T ∫ 1 א0 tan−1 (−−∞) dM > { ∅ : cos (i) < sinh−1 (10) + d (|ŝ|, ...

It is known, see [22], that such equations have unique weak solutions in W 1,p 0 (Ω) (the uniqueness comes from the fact that we consider a monotone operator: a does not depend on ū). These kinds of problem appear for example in the motion of glaciers [21], in flows of incompressible turbulent fluids through porous media [11] or in airfoil design [20]. They also serve as basic references for th...