Three-body breakup within the fully discretized Faddeev equations

A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the lattice-like discretization of the three-body continuum with a three-body stationary wave-packet basis in momentum space. The approach makes it possible to simplify drastically all the three- and few-body breakup calculations due to discrete wave-packet representations for the few-body continuum and simultaneous lattice representation for all the scattering operators entering the integral equation kernels. As a result, the few-body breakup can be treated as a particular case of multi-channel scattering in which part of the channels represents the true few-body continuum states. As an illustration for the novel approach, an accurate calculations for the three-body breakup process $n+d\to n+n+p$ with non-local and local $NN$ interactions are calculated. The results obtained reproduce nicely the benchmark calculation results using the traditional Faddeev scheme which requires much more tedious and time-consuming calculations.Comment: 17 pages, 13 figure

Formação da teoria verbocêntrica da sentença no final do século XIX - segundo terço do século XX

The development of some provisions of the verbocentric theory of sentence covers the article. The interdisciplinary nature of the theory is proved, since it is realized at the intersection of lexicology, semantics, morphology, word formation and syntax. The provisions of the verbocentric theory in the works of Russian and foreign scientists of the late XIX - second third of the XX century are analyzed. The main approaches to determining the role of the Russian verb in the structure of the sentence are revealed. According to the first approach, the subject is the top of the sentence. According to the second approach, the subject and predicate are equal members of the sentence. According to the third approach, there is no equality between the subject and the predicate, since the verb in the sentence occupies a dominant position.El desarrollo de algunas disposiciones de la teoría verbocéntrica de la oración cubre el artículo. La naturaleza interdisciplinaria de la teoría está demostrada, ya que se realiza en la intersección de lexicología, semántica, morfología, formación de palabras y sintaxis. Se analizan las disposiciones de la teoría verbocéntrica en los trabajos de científicos rusos y extranjeros de finales del siglo XIX - segundo tercio del siglo XX. Se revelan los principales enfoques para determinar el papel del verbo ruso en la estructura de la oración. Según el primer enfoque, el sujeto es la parte superior de la oración. De acuerdo con el segundo enfoque, el sujeto y el predicado son miembros iguales de la oración. Según el tercer enfoque, no hay igualdad entre el sujeto y el predicado, ya que el verbo en la oración ocupa una posición dominante.O desenvolvimento de algumas disposições da teoria verbocêntrica da sentença abrange o artigo. A natureza interdisciplinar da teoria é comprovada, uma vez que é realizada na intersecção entre lexicologia, semântica, morfologia, formação de palavras e sintaxe. As disposições da teoria verbocêntrica nas obras de cientistas russos e estrangeiros do final do século XIX - segundo terço do século XX são analisadas. As principais abordagens para determinar o papel do verbo russo na estrutura da sentença são reveladas. De acordo com a primeira abordagem, o assunto é o topo da frase. De acordo com a segunda abordagem, o sujeito e o predicado são membros iguais da sentença. De acordo com a terceira abordagem, não há igualdade entre o sujeito e o predicado, uma vez que o verbo na frase ocupa uma posição dominante

Formation of high-carbon abrasion-resistant surface layers when high-energy heating by high-frequency currents

The paper shows the possibility of carburization of low-carbon steel surface layers using high-frequency currents. The mathematical modeling of carburization using high-energy heating by high-frequency currents (HEH HFC) has been carried out, the temperature fields formed during the given processing have been calculated, as well as the structural changes in the surface layers have been simulated. The features of the structure formation in the surface layers of low-carbon steel after carburizing via HEH HFC have been determined by optical and scanning microscopy, which is confirmed by the computational models. The rational mode of fusion via HEH HFC has also been determined (power density of the source q[s]=(1.5...4.0)•10{8} W m{-2}, (the relative travel speed of parts V[p]=5 ... 100 mm /sec), with forming the compressive retained stresses in the surface layer ([sigma][RS]=-300...-400 MPa)