V.S. Popov

Scientific Research Institute of Optoelectronic Instrumentation

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N. Nikitin

École Polytechnique Fédérale de Lausanne

V. N. Chernov

Scientific Research Institute of Optoelectronic Instrumentation

V. M. Migel

Scientific Research Institute of Optoelectronic Instrumentation

Vladimir Komarov

The Russian Presidential Academy of National Economy and Public Administration

V. D. Mur

Moscow Engineering Physics Institute

V. A. Malinov

Scientific Research Institute of Optoelectronic Instrumentation

V. G. Borodin

Scientific Research Institute of Optoelectronic Instrumentation

Alexander V. Charukchev

Scientific Research Institute of Optoelectronic Instrumentation

Marinov

L.B. Okun

University of Tennessee at Knoxville

Cooperative Institutions

Institute for Theoretical and Experimental Physics

State Optical Institute named after SI Vavilov

Scientific Research Institute of Optoelectronic Instrumentation

All-Russian Scientific Research Institute of Technical Physics

Russian Academy of Sciences

Institute on Taxation and Economic Policy

Kurchatov Institute

Laboratoire de Physique Théorique

European Organization for Nuclear Research

Lomonosov Moscow State University

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PROBLEM OF THE CRITICAL CHARGE OF NUCLEUS.

V.S. Popov

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RESTRICTIONS ON IMAGINARY PART OF THE SCATTERING AMPLITUDE AT HIGH ENERGIES

Yadern. Fiz. (1966)

V.S. Popov V. D. Mur

The Imaginary

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METHOD FOR A CALCULATION OF THE NUCLEAR CRITICAL CHARGE.

V.S. Popov

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TOTAL CROSS SECTIONS FOR FAST DEUTERON STRIPPING AND DIFFRACTION DISINTEGRATION ON NON-SPHERICAL NUCLEI

Zhur. Eksptl'. i Teoret. Fiz. (1958)

V.S. Popov

A nucleus with ellipsoidal shaped rotation and opaque to incident nucleons was studied. The kinetic energy of deuterons was taken sufficiently large to have the deuteron wave length shorter than the nuclear radius. The infiuence of the nuclear Coulomb field was not considered. (R.V.J.)

Stripping (fiber)

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Spontaneous production of positrons at collisions of heavy nuclei (production cross section and the energy spectrum of e$sup +$)

V.S. Popov

S>Analytical solution of the two-center Coulomb problem for the Dirac equation is obtained in the approximation (Z/sub 1/ + Z/sub 2/ -- Z/sub c/ Z/sub c/ << 1. Using the solution, the total cross section sigma of the positron production in quasistatic field of the colliding nuclei, the cross section d sigma /d OMEGA corresponding to the scattering of the nucleus under a fixed angle THETA , and energy spectrum of the produced positrons are calculated. Dependence of these quantities on the incident nucleus energy E is considered, that enables one to suggest the energy region optimal for the experiment. The similar problem of the e/sup +/e/sup -/pair production from vacuum in a variable electric field E(t) is discussed briefly. (auth)

Pair production

Sigma

Energy spectrum

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FALL DOWN TO THE CENTER AT Z > 137 AND CRITICAL NUCLEAR CHARGE.

V.S. Popov

Center (category theory)

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Phase shift technique for the Dirac equation and the calculation of the critical nuclear charge

Marinov V.S. Popov

A simple method for solving the Dirac and Schroedinger equations with an arbitrary potential V(r) is developed which is convenient for qualitative analysis of the problem and for numerical calculations. The idea of the method is that the equation under consideration is replaced by a first order nonlinear equation for the phase function theta (r). Application of the method to the problem of appearance of a bound level and its application for calculation of the critical charge Z, are considered. The effect of screening of the nuclear Coulomb field by the electron shell on Z is estimated. Variational calculations of Z, for a system of colliding nuclei (relativistic two-center problem) are performed. Other applications of the phase equation are briefly discussed, viz. determination of the potential barrier reflection coefficient and pair production in a varying electric field. (auth)

Effective nuclear charge

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COMPLEX SINGULARITIES OF THE AMPLITUDES FOR DIRECT NUCLEAR REACTIONS

Journal of Experimental and Theoretical Physics (1962)

L. D. Blokhintsev E.I. Dolinskii V.S. Popov

Momentum (technical analysis)

Momentum transfer

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Coulomb corrections to scattering length and effective range

Sov. J. Nucl. Phys. (Engl. Transl.); (United States) (1983)

V. D. Mur A. E. Kudryavtsev V.S. Popov

We consider the problem of determination of the purely nuclear scattering length a/sub s/ (pertaining to a strong-interaction potential V/sub s/ with the Coulomb interaction switched off) from the nuclear-Coulomb scattering length a/sub c//sub s/ that is directly measured in experiment. The difference between a/sub s/ and a/sub c//sub s/ is especially large if the potential V/sub s/ has a level (real or virtual) with energy close to zero. For such a case we have obtained the formulae relating the scattering lengths a/sub s/ and a/sub c//sub s/ and the effective ranges r/sub s/ and r/sub c//sub s/. The results are generalized to states with arbitrary angular momentum l. We show that the Coulomb correction to the coefficient of k/sup 2//sup l/ in the effective-range expansion is especially large because of the large logarithm ln(a/sub B//r/sub 0/). The Coulomb renormalization of the other terms in the effective-range expansion is of the order r/sub 0//a/sub B/, where r/sub 0/ is the range of the nuclear force and a/sub B/ is the Bohr radius. The formulae obtained are illustrated for several model potentials V/sub s/ used in nuclear physics.

Bohr radius

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FEYNMAN AMPLITUDES FOR NONRELATIVISTIC PROCESSES

Journal of Experimental and Theoretical Physics (1962)

L. D. Blokhintsev E.I. Dolinskii V.S. Popov

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