The theory of the Jost function provides an elegant and unified framework for determining resonance and bound states. These states are determined by 1)Solving a system of differential equations, which are equivalent to the Schrödinger equation, to obtain the Jost functions.
2)Searching for the zeros of the Jost function in the complex energy plane.
This approach has been successfully...
The traditional two-variable few-body integrodifferential equations approach is modified by introducing boundary conditions in both the hyperradial and hyperangular variables. In addition, the inclusion of the effects of higher partial waves of the interaction potential is also modified. The new approach reproduces results obtained by an exact method for boson systems. These results confirm...
A specific feature of the deep-inelastic collisions is the high loss of kinetic energy of the collision heavy ions. This means that the latter become highly excited during the collision. The mechanism of the energy loss of the colliding nuclei is described within the theory of Brownian motion as classical friction due to the coupling of the relative motion of heavy ions to the internal...
One of the common approaches toward solving the Faddeev and Faddeev-Yakubovsky equations is the use of partial-wave expansion of the solution sought, resulting in the reduction of the Faddeev equations to a set of two-dimensional coupled equations, which are amenable to numerical solution. For systems interacting via a force strong repulsive core lots of partial waves are necessary to achieve...
In last two decades identification of topological properties in low dimensional quantum materials (specifically one and two-dimensional) has been one of the principal area of investigation condensed matter research. It resulted in several impressive discoveries, e.g., topological insulators, topological superconductors, topological Hall effect etc. The related underlying theory had been built...
The light nuclei 18O, 12C, 9Be and 6Li used as target and projectile nuclei in the many experimental studies of the nuclear reactions, including Flerov Laboratory of Nuclear Reaction (JINR). The study of the structure of these nuclei is necessary for theoretical description of such reactions. Wave functions of the ground state of the 18O, 12C, 9Be and 6Li nuclei in the alpha-cluster model are...
We investigate soliton collisions in scalar field theories in 1+1
dimensions and a model, which interpolates between the sine-Gordon
theory, phi4 theory and a model with sextic potential. Various resonant
structures emerging in this model because of energy transfer between the
modes of excitation. We also emphasise the role of radiation and
oscillon formation in the collision process.
The numerical solution of the time-dependent Schrodinger equation (TDSE) [1] for outer neutrons and protons of colliding nuclei are used for description of nucleon-transfer reactions. The calculated cross sections show satisfactory agreement with the experimental data for representative set of reactions. The cross sections for the production of the isotopes ${}^{196,198}$Au in...
The presentation discusses the experimentally observed formation and growth of a chromium silicide layer in a silicon wafer with a deposited chromium layer. The chromium silicide layer forms and grows at the boundary between silicon and chromium. The time dependence of the layer thickness is first described by linear functions with different growth rates: rapid growth is replaced by slow...
We investigate the framework of extended dual Quantum Chromodynamics (QCD), wherein confinement and mass generation are described through a dual superconducting model of the QCD vacuum. By extending the conventional dual QCD approach—typically centered on the Abelian projection and monopole condensation—we incorporate additional dual gauge degrees of freedom and scalar fields associated with...
This study investigates the structural, electronic and mechanical properties of the half-Heusler compounds: VSnPt, NbSnPt and NbSnPt employing density functional theory (DFT) within the generalized gradient approximation (GGA). The equilibrium lattice constants, bulk moduli and their pressure derivatives were computed and compared with the related theoretical data. The results indicate that...
