

Physics of Elementary Particles and Atomic Nuclei

Archive (1970  2016)  Editorial board  Guidance for Authors 
Part 1  up 
XIV International Seminar on Electromagnetic Interactions of Nuclei "EMIN2015" (Moscow, October 58, 2015) (179.502) Abstracts 

Kuzyakin R.A., Sargsyan V.V., Adamian G.G., Antonenko N.V. Quantum Diffusion Description of LargeAmplitude Collective Nuclear Motion (rus, 3.112.241) Within the microscopic quantum diffusion approach, the method to calculate the probability of passing through the parabolic barrier and the quasistationary thermal decay rate from a metastable state is developed. The method is used both in the limit of linear coupling in the momentum between the collective subsystem and environment and in the more general limit of linear coupling in the momentum and the coordinate. In terms of the considered approach, the capture process of the projectile by the target nucleus is studied at bombarding energies near and below the Coulomb barrier. The analytical expression for partial capture probability which defines the formation cross section of a dinuclear system is derived. The total and partial capture cross sections, mean and meansquare angular momenta of the captured systems, astrophysical Sfactors, logarithmic derivatives, and barrier distributions are calculated for various reactions. The effects of entrance channel, isotopic composition, and nuclear deformation of interacting nuclei and neutron transfer between them on capture cross section are studied. The effects of nuclear deformation and neutron transfer between interacting nuclei, the isotopic dependence of capture cross section, the entrance channel effects on capture process are studied. The calculated results for the reactions with spherical and deformed nuclei are in a good agreement with available experimental data. 

Part 2  up 
To the 80th Anniversary of the Birth of Academician Vladimir Georgievich Kadyshevsky (108.992) 

Fronsdal C. Action Principles for Hydro and Thermodynamics: Review and Prospects (40.178) A Hamiltonian formulation of hydrodynamics is well known for the case of purely irrotational flows and it now exists in a more general case as well. The minimal extension of the action principle is obtained from two axioms: 1. That the number of independent degrees of freedom is 4, as in standard hydrodynamics. 2. That the equation of continuity must be one of the Euler–Lagrange equations, and that it allows for vorticity. Applications include: 1. Couette flow with a new criterion for the breakdown of laminar motion. 2. A rotating source for Einstein's equation that respects the Bianchi identity. 3. A new approach to the electromagnetism of fluids. 4. A rigorous virial theorem for fluids. 5. A critique of the current state of the theory of atmospheres. Abstracts 

Todorov I. Renormalization of Position Space Amplitudes in a Massless QFT (46.526) Renormalization of Position Space Amplitudes in a Massless QFT Ultraviolet renormalization of position space massless Feynman amplitudes has been shown to yield associate homogeneous distributions. Their degree is determined by the degree of divergence while their order — the highest power of logarithm in the dilation anomaly — is given by the number of (sub)divergences. In the present paper we review these results and observe that (convergent) integration over internal vertices does not alter the total degree of (superficial) ultraviolet divergence. For a conformally invariant theory, internal integration is also proven to preserve the order of associate homogeneity. The renormalized 4point amplitudes in the φ^{4} theory (in four spacetime dimensions) are written as (nonanalytic) translation invariant functions of four complex variables with calculable conformal anomaly. Our conclusion concerning the (offshell) infrared finiteness of the ultraviolet renormalized massless φ^{4} theory agrees with the old result of Lowenstein and Zimmermann (Lowenstein J. H., Zimmermann W. On the Formulation of Theories with ZeroMass Propagators // Nucl. Phys. B. 1975. V.86. P.77—103). Abstracts 

Troshin S. M., Tyurin N. E. Inelastic Diffraction at the LHC (rus, 187.886) The relativistic scattering is one of the scientific fields where Academician V. G. Kadyshevsky has made an important and highly cited contribution. In this paper, we discuss the highenergy dependences of diffractive and nondiffractive inelastic cross sections in view of the recent LHC data which reveal the presence of reflective scattering mode. 

Chizhov M. V. On the Problem of Properties of LowLying Spin1 Hadron Resonances (rus, 500.952) This review is dedicated to the description of the properties of lowlying spin1 hadron resonances. It is shown how to extend the NambuJonaLasinio model with new tensor interactions in chiral invariant way. New mass formulas are obtained that are not based on groups of unitary symmetry, and include particles from different multiplets even with opposite parity. All of them are in good agreement with the experimental data. The dynamic properties of spin1 mesons are understood and explained. They are confirmed by the QCD sum rules and lattice calculations. 

Belokurov V. V., Shavgulidze E. T. Unusual Properties of Functional Integrals and the Groups of Diffeomorphisms (rus, 369.901) We give a review of the papers of the authors where some consequences of the quasiinvariance of the Wiener functional integrals under the action of the group of diffeomorphisms and the behavior of the functional integrals under the nonlinear nonlocal substitutions are studied. In particular, such substitutions make it possible to define the functional integrals over the discontinuous trajectories. We propose some simple quantum field theory (Euclidean) models where the presence of the hidden symmetries or the discontinuous trajectories in functional integration lead to a series of paradoxical properties that are contrary to the common intuition. 

Soloviev V. O. Hamiltonian Cosmology of Bigravity (rus, 362.677) This article is written as a review of the Hamiltonian formalism for the bigravity with de Rham–Gabadadze–Tolley (dRGT) potential, and also of applications of this formalism to the derivation of the background cosmological equations. It is demonstrated that the cosmological scenarios are close to the standard ΛCDM model, but they also uncover the dynamical behaviour of the cosmological term. This term arises in bigravity regardless of the choice of the dRGT potential parameters, and its scale is given by the graviton mass. Various matter couplings are considered. 

MirKasimov R. M. Noncommutative SpaceTime and Relativistic Dynamics Some aspects of the approach to the quantum theory with noncommutative geometry (NCG) based in general on the nonEuclidean momentum space are considered. Abstracts 

Rodionov V. N. Exotic Fermions in Kadyshevsky's Theory and the Possibilities of Their Detection (rus, 257.561) As is known, the main works of V. G. Kadyshevsky are devoted to the construction of geometric approach to the creation of quantum field theory with restriction of the elementary particles' mass spectrum. NonHermitian operators arising in this case seemed a very serious obstacle on the way of creating a consistent theory. In recent years, these problems were rectified and now we have received considerable development of these physical researches with limiting mass using a pseudoHermitian algebraic approach to the construction of a quantum theory. The central point of such theories is the construction of 𝒫𝒯symmetric nonHermitian Hamiltonians that have real eigenvalues. It is important to note that among the numerous works on this subject we can find not only purely theoretical but also experimental works, as, for example, in the case of nonHermitian optics. In this regard, we believe that the development of pseudoHermitian relativistic quantum theory with a Maximal Mass can create very favorable conditions to discuss the possibility of experimental verification of the theoretical results obtained in this area. Kadyshevsky saw an important prediction of his theory in the hypothesis of the existence of new particles that he named "the exotic fermions". In particular, the possibility of detecting exotic neutrino in precise experiments for determination of neutrino mass is discussed in this article. 
V. A. Matveev
V. L. Aksenov, Nguen Van Hieu
A. B. Arbuzov,
V. A. Bednyakov,
V. V. Burov,
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V. V. Voronov,
R. V. Jolos,
P. I. Zarubin,
G. M. Zinovjev,
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N. V. Krasnikov,
O. N. Krokhin,
R. Lednicky,
E. V. Lychagin,
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D. Nagy,
Yu. Ts. Oganessian,
A. G. Popeko,
A. A. Starobinskii,
Ch. Stoyanov,
Gh. Stratan,
G. V. Trubnikov,
V. I. Yukalov
G. V. Fedorova
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