Optimal conditions are used in nondynamical formalism to diagonalize the pionproton reaction matrix as much as possible. Invariance laws are imposed to simplify the relationship between observables and bilinear combination of amplitudes. Transverse amplitudes are determined by using measured polarization parameter in xfp elastic scattering at 6.0 GeVIC

We study the critical behavior of three-dimensional Gross-Neveu (GN) model with ${N}_{f}$ four-component Dirac fermionic flavors and quartic interactions, at chiral ${\mathbb{Z}}_{2}$ transition in massless ${\mathbb{Z}}_{2}$-symmetric limit. For this purpose, we consider a lattice GN staggered Kogut-Susskind fermions scalar field coupled to bilinear operator, which effectively realizes attract...

In this paper, we construct the bilinear identities for wave functions of an extended Kadomtsev-Petviashvili (KP) hierarchy, which is KP hierarchy with particular flows (2008, Phys. Lett. A, 372: 3819). By introducing auxiliary parameter (denoted by $z$), whose flow corresponds to so-called squared eigenfunction symmetry find tau-function hierarchy. It shown that will generate all Hirota's equa...

In this paper, we are interested in the construction of a bilinear pseudodifferential calculus. We define some symbolic classes which contains those of Coifman-Meyer. These new classes allow us to consider operators closely related to the bilinear Hilbert transform. We give a description of the action of our bilinear operators on Sobolev spaces. These classes also have a “nice” behavior through...

This article is concerned with the question of whether Marcinkiewicz multipliers on R2n give rise to bilinear multipliers on R×R. We show that this is not always the case. Moreover, we find necessary and sufficient conditions for such bilinear multipliers to be bounded. These conditions in particular imply that a slight logarithmic modification of the Marcinkiewicz condition gives multipliers f...

In this work, we proposed an effective method based on cubic and pantic B-spline scaling functions to solve partial differential equations of fractional order. Our method is based on dual functions of B-spline scaling functions. We derived the operational matrix of fractional integration of cubic and pantic B-spline scaling functions and used them to transform the mentioned equations to a syste...