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...

Starting from the old idea that Fermi statistics for quarks play a fundamental role to explain some features of hadron structure, we study the modification of the scaling behaviour of parton distributions due to quantum statistical effects. In particular, by following an interesting formal analogy which holds between the Altarelli-Parisi evolution equations, in leading-log approximation, and a ...

so we take the incoming and the outgoing electrons to be on-shell, p2 = p′2 = m2, but the photon is off-shell, q2 6= 0. Moreover, we put the vertex in the context of the complete electron line — including the external line factors, thus ū(p′)× ieΓμ × u(p). As discussed in class, this simplifies the Lorentz and Dirac structure of the vertex and allows us to write it as Γ(p, p) = Fel(q )× (p′ + p...

We illustrate how the measurements of the CP asymmetries in B d,s-decays together with a measurement of Br(KL → πνν̄) or Br(K → πνν̄) and the known value of | Vus | can determine all elements of the Cabibbo-Kobayashi-Maskawamatrix essentially without any hadronic uncertainties. An analysis using the ratio xd/xs of Bd − B̄d to Bs − B̄s mixings is also presented. 1. Setting the Scene An important tar...

We investigate how Drell-Yan processes can be used to measure the magnitude of flavor symmetry violation in the proton sea. We examine the utility of the following beams: protons, charged pions, and charged kaons. In each case we present an approximate expression for the Drell-Yan asymmetry. Using currently available parton distributions, we locate those kinematic regions which provide the grea...