We compute the quark and antiquark transversity distributions in the nucleon at a low normalization point (μ≈600MeV) in the large–Nc limit, where the nucleon can be described as a soliton of an effective chiral theory (chiral quark–soliton model). The flavor–nonsinglet distributions, δu(x)−δd(x) and δū(x)−δd̄(x), appear in leading order of the 1/Nc–expansion, while the flavor–singlet distributio...

In connection with the semi-inclusive polarized DIS, it is proposed to consider the first Melin moments ∆q of the polarized quark and antiquark densities, instead of the respective variables δq(x), local in Bjorken x themselves. This gives rise to a very essential simplification of the next to leading order (NLO) QCD and, besides, allows one to use the respective QCD sum rules. An expression fo...

¯ d − ¯ u asymmetry and semi-inclusive production of pions in DIS Abstract We investigate unambiguities in the extraction of the ¯ d − ¯ u asymmetry from semi-inclusive production of pions in DIS. The role of several effects beyond the quark-parton model (QPM) which lead to N π + p = N π + n and N π − p = N π − n and may therefore cloud such an extraction is studied. The results are discussed i...

We prove existence, regularity and a Feynman–Kač representation formula of the strong solution to the free boundary problem arising in the financial problem of the pricing of the American Asian option with arithmetic average. To cite this article: L. Monti, A. Pascucci, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved...

We continue our study of hydrodynamic models of self-organized evolution of agents with singular interaction kernelφ(x) = |x|−(1+α). Following ourworks Shvydkoy and Tadmor (2017) [1,2]which focused on the range 1 ≤ α < 2, and Do et al. (2017) which covered the range 0 < α < 1, in this paper we revisit the latter case and give a short(-er) proof of global in time existence of smooth solutions, t...

The purpose of this work is to investigate the stability property of some models which are currently used in image processing. Following L. Rudin, S.J. Osher and E. Fatemi, we decompose an image f ∈ L2(R2) as a sum u+ v where u belongs to BV(R2) and v belongs to L2(R2). The Banach space BV is aimed at modeling the objects contained in the given image. the optimal decomposition minimizes the ene...

We consider the semidiscrete upwind scheme (0.1) u(t, x)t + 1 ( f ( u(t, x) ) − f ( u(t, x− ) )) = 0. We prove that if the initial data ū of (0.1) has small total variation, then the solution u (t) has uniformly bounded BV norm, independent of t, . Moreover by studying the equation for a perturbation of (0.1) we prove the Lipschitz continuous dependence of u (t) on the initial data. Using a tec...

Skilful means is an important doctrine in Mahayana Buddhism. It gives the movement its pedagogical skill in teaching Dharma and spiritual care. This paper examines the importance of the Jyotis narrative in the Skill-in-Means Sutra, in which a monk violates celibacy for the sake of a woman’s happiness. This essay ties the idea of skill-in-means more intimately with modern Buddhism, examining its...

A dedicated test of the perturbative QCD NLO parton evolution in the very small–x region is performed. We find a good agreement with recent precision HERA–data for F p 2 (x,Q), as well as with the present determination of the curvature of F p 2 . Characteristically, perturbative QCD evolutions result in a positive curvature which increases as x decreases. Future precision measurements in the ve...

Colliding beams of 70% polarized protons at up to √ s=500 GeV, with high luminosity, L=2×10 cmsec, will represent a new and unique laboratory for studying the proton. RHIC-Spin will be the first polarized-proton collider and will be capable of copious production of jets, directly produced photons, and W and Z bosons. Features will include direct and precise measurements of the polarization of t...