Analytical properties of the polarization operator and dispersion relations for of a photon in an external non-abelian field

Thresholds of photoproduction of SU(2) color quarks in an external field are determined. Analyticity of the polarization operator in a chromomagnetic field is studied. The dispersion relation for the trace of the polarization operator of a photon with an internal quark loop is derived. M. E. Rasulzade Baku State University; M. V. Lomonosov Moscow State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 11–16, June, 2000.     

On some properties of solutions of quasilinear degenerate equations

For quasilinear equations div A(x, u, ∇u) = 0 with degeneracy ω(x) of the Muckenhoupt A _p -class, we prove the Harnack inequality, an estimate for the H?lder norm, and a sufficient criterion for the regularity of boundary points of the Wiener type. Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 7, pp. 918–936, July, 2008.     

Generation of resin-asphaltene substances in the luminescent concentrate under irradiation

The effect of photoirradiation on the luminescent concentrate of heavy gas oil produced by catalytic cracking (>400°C) was examined.     

An Efficient Approach for the Calculation of Nuclear Overlap Integrals by Means of Binomial Coefficients and Its Application

This paper examines the computational efficiency of the method of evaluating nuclear overlap integrals commonly encountered in nuclear reactions. As will be seen, the present formulation yields compact closed-form expressions which will make the calculation of nuclear overlap integrals easy. For practical applications, the computational technique used must be amenable to rapid evaluation and yield an acceptable degree of accuracy. Finally, the ratios for the non-Borromean two-nucleon halo systems are calculated by using new formulas which are important for the reaction analyses. The results of this calculation have been compared with those obtained according to one of the theoretical articles (Timofeyuk et al., Phys. Rev. C 68:021601(R), 2003). The same numerical results are presented for significant examples and they are briefly discussed.     

Isotope effect in nuclear capture of negative muons in xenon

The lifetime of negative muons in the ¹²⁹Xe 1_s state was measured. The muon capture rate in ¹²⁹Xe is compared with that in the ^{132, 136}Xe isotopes. The capture rate was found to depend on the mass number of the cited isotopes. The experimental results are compared with the results of calculations by the semiempirical Goulard-Primakoff formula.     

Calculation of Electric Mult ipole Moment Integrals Using Translation Formulas for Slater-Type Orbitals

Using translation formulas for Slater-type orbitals the infinite series through the overlap integrals are derived for the electric multipole moment integrals. By the use of the derived expressions the electric multipole moment integrals, and therefore, the electric properties of molecules can be evaluated most efficiently and accurately. The convergence of the series is tested by calculating concrete cases. An accuracy of for 10^-5 the computer results is obtained for 1 ≤ v ≤ 5, and for the arbitrary values of internuclear distances and screening constants of atomic orbitals.     

Photometric Determination of Tin in Caspian Sea Water

Procedures were developed for the photometric determination of tin(II) with pyrogallol azo compounds, 2,3,4-trihydroxyphenylazo-5-sulfonaphthalene (R₁) and 2,2,3,4-tetrahydroxy-3-sulfo-5-chlorazobenzene (R₂), in the presence of triphenylguanidine and bathophenantroline. The complexation of tin(II) with R₁ and R₂ was studied. It was found that different-ligand complexes formed in the presence of hydrophobic amines. A bathochromic shift in absorption spectra was observed along with shifts of optimum pH formation. The effect of reagent concentration, time, and temperature on the formation of different-ligand complexes was studied, and their stoichiometry was determined by different methods. It was shown that the determination of tin(II) with R₂ in the presence of the third component is highly selective. The developed procedures were used for the photometric determination of tin in Caspian Sea water.__________Translated from Zhurnal Analiticheskoi Khimii, Vol. 60, No. 5, 2005, pp. 468–470.Original Russian Text Copyright © 2005 by Nagiev, Gambarov, Mamedov, Chyragov.