Spontaneous decay of excited atomic states near a carbon nanotube

Spontaneous decay process of an excited atom placed inside or outside (near the surface) a carbon nanotube is analyzed. Calculations have been performed for various achiral nanotubes. The effect of the nanotube surface has been demonstrated to dramatically increase the atomic spontaneous decay rate -- by 6 to 7 orders of magnitude compared with that of the same atom in vacuum. Such an increase is associated with the nonradiative decay via surface excitations in the nanotube.Comment: 8 pages, 3 figure

The packing density and the coordination number of regular spherical packing

The article shows the receiving of density equation of regular spherical packing functioning as an effective coordination number and dimension of space on the basis of six-dimensional physical space determinatio

Computer modelling of material objects’ structure : Part II. Elementary particles

Based on the previously presented model of space-time, the structural features of elementary particles formation are considered. The paper investigates the model of elementary particles formation composed of such fundamental particles as loveton, electron, neutrino, and their antiparticle

Computer modelling of material objects’ structure. Part III. Clustering of nucleon systems

The structure of light atomic nuclei, such as hydrogen, helium and lithium nuclides, was studied based on the cluster approach. Atomic nuclei are formed as systems consisting of free and bound lovetons, as well as neutron electrons and electron-positron pairs. The work focuses on the mass of the atomic nucleus and its binding energy as the main basic characteristic

Computer visualization of the spatial structure of the electronic atom shell

This paper presents an approach that allows describing the spatial formation of the electron shells of atoms, based on known principles and rules, in a logically consistent version of the visual representation of an ato

Symbolic-numeric approach for solving linear differential equations of the fourth order

This paper presents a symbolic-numeric approach for solving linear differential equations of the fourth order in the form of generalized power series. The working program allows to find solutions to differential equations of the fourth order in the form of power series, generally, of any order, but is limited by capabilities of a given computer. Some examples of solving differential equations of the fourth order are presented, which show the efficiency of the developed progra

Simulation of the coordination number of random sphere packing

Given article presents a generalized equation for calculating the average coordination number from the density of a random sphere packing, supplemented by a dependence on the threshold value of the interparticle distance in two- and three-dimensional spaces. It is shown that the calculation of the average coordination numbers according to the proposed equation gives an unambiguous correspondence between the simulated, calculated and experimental data for threshold values of more than 1.02 particle diameters. An explanation of the weak dependence of the average coordinate number on the packing density for small threshold values of the interparticle distance is given in this wor

Mathematical model of coordination number of spherical packing

The article considers a mathematical model of the coordination number, which allows obtaining an equation for multi component spherical packing in the entire range of its change. The resulting model can be used in both 2-d and 3-d spaces. The concept of the coordination index is introduced as a function of the inter-particle distance related to a single particle located near the central particle. The model provides unambiguous compliance between the simulated and calculated data on the coordination numbers of the spherical packin

Computer modelling of material objects’ structure : Part I. Space-time

Present paper considers a structure model of discrete space-time, the properties of which are determined by the substrate. As a substrate a 2-dimensional plane under no matter is chosen, the surfaces of which are space and anti-space. A new concept called spacetron, considered as a spatial element of the substrate, which is the basis for the subsequent formation of 4-dimensional space-time, is propose

The Nucleon-Mass Difference in Chiral Perturbation Theory and Nuclear Forces

A new method is developed for treating the effect of the neutron-proton mass difference in isospin-violating nuclear forces. Previous treatments utilized an awkward subtraction scheme to generate these forces. A field redefinition is used to remove that mass difference from the Lagrangian (and hence from asymptotic nucleon states) and replace its effect by effective interactions. Previous calculations of static Class II charge-independence-breaking and Class III charge-symmetry-breaking potentials are verified using the new scheme, which is also used to calculate Class IV nuclear forces. Two-body forces of the latter type are found to be identical to previously obtained results. A novel three-body force is also found. Problems involving Galilean invariance with Class IV one-pion-exchange forces are identified and resolved.Comment: 20 pages, 2 figures, latex - submitted to Physical Review