Electromagnetic decays of the scalar mesons are shown to be constrained by chiral symmetry as a consequence of the fact that, in the chiral limit, the two and threepoint functions< SS−PP > and< V V S > satisfy super-convergent dispersion relations. The QCD asymptotic behavior of the latter is canonical and it can be saturated by a finite number of resonances. The corresponding chiral lagrangian...

Recently, a new decoding rule called jar decoding was proposed, under which the decoder first forms a set of suitable size, called a jar, consisting of sequences from the channel input alphabet considered to be closely related to the received channel output sequence through the channel, and then takes any codeword from the jar as the estimate of the transmitted codeword; under jar decoding, a n...

Standard diffuse approximations of the Willmore flow often lead to intersecting phase boundaries that in many cases do not correspond intended sharp interface evolution. Here we introduce a new two-variable approximation includes rather simple but efficient penalization deviation from quasi-one dimensional structure fields. We justify property by Gamma convergence result for energies and matche...

We study the behaviour of spherical Voids in Lagrangian perturbation theories L(n), of which the Zel’dovich approximation is the lowest order solution L(1). We find that at early times higher order L(n) give an increasingly accurate picture of Void expansion. However at late times particle trajectories in L(2) begin to turnaround and converge leading to the contraction of a Void, a sign of path...

We generalize earlier results concerning an asymptotic error expansion of wavelet approximations. The properties of the monowavelets, which are the building blocks for the error expansion, are studied in more detail, and connections between spline wavelets and Euler and Bernoulli polynomials are pointed out. The expansion is used to compare the error for different wavelet families. We prove tha...

We present a separable expansion approximation method for Coulomblike potentials which is based on Schwinger variational principle and uses Coulomb-Sturmian functions as basis states. The new scheme provides faster convergence with respect to our formerly used non-variational approach. Both variational approaches and separable expansion schemes are extensively used in solving few-body problems....

A commonly used model for a transversely anisotropic crack rock is that by Hudson (1980, 1981). This model is based on a simplified analysis of a thin circular crack, with displacement and stress conditions specified on the boundary. These papers have a second order correction in addition to the first order term in porosity/crack density. In this paper we compare the results of Hudson with thos...