Spin and pseudospin symmetries of the Dirac equation with confining central potentials

We derive the node structure of the radial functions which are solutions of the Dirac equation with scalar S and vector V confining central potentials, in the conditions of exact spin or pseudospin symmetry, i.e., when one has V=±S+C, where C is a constant. We show that the node structure for exact spin symmetry is the same as the one for central potentials which go to zero at infinity but for exact pseudospin symmetry the structure is reversed. We obtain the important result that it is possible to have positive energy bound solutions in exact pseudospin symmetry conditions for confining potentials of any shape, including naturally those used in hadron physics, from nuclear to quark models. Since this does not occur for potentials going to zero at large distances, which are used in nuclear relativistic mean-field potentials or in the atomic nucleus, this shows the decisive importance of the asymptotic behavior of the scalar and vector central potentials on the onset of pseudospin symmetry and on the node structure of the radial functions. Finally, we show that these results are still valid for negative energy bound solutions for antifermions. © 2013 American Physical Society.

A useful empirical bayesian method to analyse industrial data from saturated factorial designs

The use of saturated two-level designs is very popular, especially in industrial applications where the cost of experiments is too high. Standard classical approaches are not appropriate to analyze data from saturated designs, since we could only get the estimates of the main factor effects and we would not have degrees of freedom to estimate the variance of the error. In this paper, we propose the use of empirical Bayesian procedures to get inferences for data obtained from saturated designs. The proposed methodology is illustrated assuming a simulated data set. © 2013 Growing Science Ltd. All rights reserved.

Reduction of infinite dimensional systems to finite dimensions: Compact convergence approach

We consider parameter dependent semilinear evolution problems for which, at the limit value of the parameter, the problem is finite dimensional. We introduce an abstract functional analytic framework that applies to many problems in the existing literature for which the study of asymptotic dynamics can be reduced to finite dimensions via the invariant manifolds technique. Some practical models are considered to show wide applicability of the theory. © 2013 Society for Industrial and Applied Mathematics.

Perturbation of a nonautonomous problem in ℝn

In this paper, we prove a stability result about the asymptotic dynamics of a perturbed nonautonomous evolution equation in ℝn governed by a maximal monotone operator. Copyright © 2013 John Wiley & Sons, Ltd. Copyright © 2013 John Wiley & Sons, Ltd.

Perturbations on the antidiagonals of Hankel matrices

Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal of the Hankel matrix. We define a linear functional whose action results in such a perturbation and establish necessary and sufficient conditions in order to preserve the quasi-definite character. A relation between the corresponding sequences of orthogonal polynomials is obtained, as well as the asymptotic behavior of their zeros. We also study the invariance of the Laguerre-Hahn class of linear functionals under such perturbation, and determine its relation with the so-called canonical linear spectral transformations. © 2013 Elsevier Ltd. All rights reserved.

Análise espaço temporal da dimensão fractal de matas ciliares na alta bacia do rio Passa Cinco - centro Leste do Estado de São Paulo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Impacto genético e ambiental na aptidão cardiorrespiratória, atividade física e metabolismo de glicose

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Parâmetros genéticos de características de carcaça e de qualidade da carne de aves oriundas de cruzamento recíproco

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Associação genética entre produção de mozzarela e produção de leite e teores de gordura e proteína em bubalinos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uso de marcadores microssatélites para estimar parentescos dentro de progênies de polinização aberta de espécies arbóreas dióicas: um estudo de caso de Myracrodruon urundeuva (F.F. & M.F. Allemão)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Associação e seleção genômica para características relacionadas à eficiência reprodutiva de fêmeas da raça Nelore

Pós-graduação em Zootecnia - FCAV

Efeito de marcadores moleculares sobre características de crescimento e reprodutivas de bovinos da raça Canchim

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Modelos de crescimento e das respostas de frangas de postura submetidas a diferentes ingestões de aminoácidos sulfurados

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Avaliação da longevidade de vacas da raça Nelore por diferentes critérios utilizando análise de sobrevivência

Pós-graduação em Genética e Melhoramento Animal - FCAV

Short-term effects of visitor trampling on macroinvertebrates in karst streams in an ecotourism region

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)