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We solved the problem of the best rational approximation of the Bergman kernels on the unit circle of the complex plane in the quadratic and uniform metrics.

复变函数 · 数学 2017-11-16 Stanislav Chaichenko

We developed a novel approach based on a generalization of factorization and nuclear spectral functions, allowing for a consistent treatment of the amplitudes involving one- and two-nucleon currents, whose contribution to the nuclear…

核理论 · 物理学 2016-05-18 Noemi Rocco , Alessandro Lovato , Omar Benhar

We calculate bubble-nucleation rates for (2+1)-dimensional scalar theories at high temperature. Our approach is based on the notion of a real coarse-grained potential. The region of applicability of our method is determined through internal…

高能物理 - 唯象学 · 物理学 2009-10-09 Alessandro Strumia , Nikolaos Tetradis

The standard vacuum bounce formalism suffers from inconsistencies when applied to thermal bubble nucleation, for which ad hoc workarounds are commonly adopted. Identifying the length scales on which nucleation takes place, we demonstrate…

高能物理 - 唯象学 · 物理学 2021-12-09 Oliver Gould , Joonas Hirvonen

At low photon energies, the potential models of nucleus-nucleus bremsstrahlung are based on electric transition multipole operators, which are derived either only from the nuclear current or only from the charge density by making the…

核理论 · 物理学 2015-01-12 Jérémy Dohet-Eraly , Daniel Baye

The trajectories of neutrons in the reactor, the points of their fission of uranium nuclei, the points of neutron absorption, fission chains and chain reactions are considered from the standpoint of fractal geometry and percolation theory.…

统计力学 · 物理学 2024-03-21 V. V. Ryazanov

In order to interpret precise measurements of molecular properties the finite nuclear mass corrections to the Born-Oppenheimer approximation have to be accounted for. It is shown that they can be obtained systematically in the perturbative…

化学物理 · 物理学 2015-05-14 Krzysztof Pachucki

A system with a metastable phase and a pseudo continuous set of the heterogeneous centers is considered. An analytical theory for kinetics of the process of condensation in such a system is constructed. The free energy of formation of the…

凝聚态物理 · 物理学 2007-05-23 V. Kurasov

A theoretical description for the radial density profile of a finite number of identical charged particles confined in a harmonic trap is developed for application over a wide range of Coulomb coupling (or, equivalently, temperatures) and…

统计力学 · 物理学 2015-05-14 J. Wrighton , J. W. Dufty , H. Kählert , M. Bonitz

The time evolution of the Wigner distribution function for a single-particle excitation in a Fermi system was studied within the framework of the diffusion approximation of kinetic theory by numerically solving a nonlinear diffusion…

核理论 · 物理学 2026-03-12 Sergiy V. Lukyanov

The past decade has witnessed tremendous progress in the theoretical and computational tools that produce our understanding of nuclei. A number of microscopic calculations of nuclear electroweak structure and reactions have successfully…

核理论 · 物理学 2018-03-14 Saori Pastore

The quantization of the kinetic energy of a deformed nucleus in curvilinear coordinates in the case of octupole oscillations of its surface firstly has been carried out. The obtained form of the Hamiltonian differs from the previously…

核理论 · 物理学 2023-07-20 M. S. Nadirbekov , O. A. Bozarov , N. Minkov

We introduce and investigate a new notion of the theory of approximation-the so-called degenerate approximation, i.e. approximation of the function of two (and more) variables (kernel) by means of degenerate function (kernel). We apply…

概率论 · 数学 2013-03-14 E. Ostrovsky , L. Sirota

Analytical formulas for the excitation energies as well as for the electric quadrupole reduced transition probabilities in the ground, beta and gamma bands were derived within the coherent state model for the near vibrational and well…

核理论 · 物理学 2015-05-30 A. A. Raduta , R. Budaca , Amand Faessler

It is shown how nucleon-nucleon potentials can be defined in N dimensions, using dimensional regularization to continue amplitudes. This provides an easy way to separate out contact ($\delta$-function) terms arising from renormalization. An…

核理论 · 物理学 2014-11-18 J. L. Friar

Single-particle removal reactions are becoming an important tool for studying radioactive nuclei. The nuclei far from stability may reveal new regions of large deformation. We discuss the influence of the projectile deformation on the…

核理论 · 物理学 2009-10-31 Alexander Sakharuk , P. Gregers Hansen , Vladimir Zelevinsky

The status of experiments on determination of level density and partial widths of the nuclear reaction products emission in diapason of nucleon binding energy is presented. There are analyzed the sources and magnitude of probable…

核实验 · 物理学 2011-05-25 A. M. Sukhovoj , V. A. Khitrov

A simple method to calculate dispersion of the total number of droplets appeared in the process of nucleation caused by the smooth variation of external conditions has been presented. The analytical result for dispersion is compared with…

统计力学 · 物理学 2007-05-23 Victor Kurasov

A new method for approximating Skyrme solutions is developed. It consists of cutting sections out of the Skyrme crystal and smoothly interpolating between the boundary and spatial infinity. Several field configurations are constructed, and…

核理论 · 物理学 2009-10-28 W. K. Baskerville

Relativistic Mean Field Theory in the rotating frame is used to describe superdeformed nuclei. Nuclear currents and the resulting spatial components of the vector meson fields are fully taken into account. Identical bands in neighboring…

核理论 · 物理学 2009-10-22 J. K"onig , P. Ring