Applying the ideas from microscopic objects to macroscopic stellar and galactic systems, the evolution of compact di-stars and di-galaxies is studied in the mass asymmetry coordinate. The formation of stable binary systems is analyzed. The role of symmetrization of an initially asymmetric binary system is revealed in the transformation of gravitational energy into internal energy of stars or...
The common and specific features of particle polarization in hadronic and heavy-ion collisions are discussed. The analogs of characteristics of hadronic and quark gluon media in hadronic structures are suggested.
The special attention is paid to shear viscosity and physical reasons of its smallness.
We discuss the underlying mathematical structure that suitably describes the symmetries of the Leigh-Strassler [LS] theories as marginal deformations of the 4D $\mathcal{N}$ = 4 super Yang-Mills [SYM]. We present Hopf algebras as a mathematical language suited to describe how to obtain LS theories from the SYM. The hope is obtain a bridge through which to port all the...
I present a brief review on multipole giant resonances (GR) n atomic nuclei. The origin, basic properties and present status of GR exploration are outlined. As an example, the wavelet analysis of GR fine structure, performed by collaboration of the experimentalists from iThemba Lab and theorists from BLTP JINR [1-5] is briefly described.
[1] L.M. Donaldson, C.A. Bertulani, J. Carter, V.O....
Clusters of gas atoms form a broad class of molecules bound by van der Waals-type interactions. Some weakly bound clusters exhibit universal characteristics and scale invariance linked to the famous Efimov effect, which was first experimentally confirmed in an ultracold gas of Cs atoms. The helium trimer system has long been regarded as an ideal candidate for observing Efimov states. After...
In the mathematical department of Institute of Theoretical and Experimental Physics (Moscow) in 1960s it was decided to choose a some intellectual game to compare skills of programmers working in different countries or in other words, it was necessary to select criteria to compare AI teams. In 1960s Alexander Kronrod coined slogan “Chess is drosophila of Artificial Intelligence” and ITEP...
We are reviewing known bounds on the variation of a spectral subspace (and, in particular, of an eigenvector) of a self-adjoint operator under an additive Hermitian perturbation. To this end we first recall the concept of operator angle between two subspaces of a Hilbert space. Then we recollect the spectral dispositions for which sharp norm bounds on the variation of the spectral subspace...
In the analysis of nuclear scattering data to determine resonance parameters (among other scattering variables), both the well-known $R$-matrix and Jost function methods of analysis can be used. Each method has benefits and disadvantages. A new method for fitting non-relativistic binary-scattering data and for extracting the parameters of possible quantum resonances in the compound system that...
A new variation method for solving the bound-state problem for a system of few
particles is proposed. Unlike the traditional variational approach,
where the expectation value of the Hamiltonian is minimized, i.e. just a single
quantity, in the proposed method the approximate solution is constructed by
fitting a continuum of quantities, namely, the entire function that describes
the...
We present a brief overview of some recent observational results that
challenge the validity of the standard LambdaCDM cosmology. These
results still need further verification, but their confirmation could
lead to revolutionary changes in our understanding of the construction
of our Universe.
Magnetic frustration, a situation where all interactions in the magnetic Hamiltonian can be realized either from geometry of the lattice , or from
anisotropic interactions. In some cases frustration can be strong enough to destroy magnetic long-range order in favor of a quantum disordered "spin liquid" regime. Such a state is highly sough after due to its entanglement and topological...
