Schiff Theorem Revisited

We carefully rederive the Schiff theorem and prove that the usual expression of the Schiff moment operator is correct and should be applied for calculations of atomic electric dipole moments. The recently discussed corrections to the definition of the Schiff moment are absent.Comment: 6 page

Schiff moment of the Mercury nucleus and the proton dipole moment

We calculated the contribution of internal nucleon electric dipole moments to the Schiff moment of $^{199}$Hg. The contribution of the proton electric dipole moment was obtained via core polarization effects that were treated in the framework of random phase approximation with effective residual forces. We derived a new upper bound $|d_p|< 5.4\times 10^{-24} e\cdot$cm of the proton electric dipole moment.Comment: 4 pages, 2 figures, RevTex

Hyperfine splitting in heavy ions with the nuclear magnetization distribution determined from experiments on muonic atoms

The hyperfine splitting in hydrogenlike $^{209}$Bi, $^{203}$Tl, and $^{205}$Tl is calculated with the nuclear magnetization determined from experimental data on the hyperfine splitting in the corresponding muonic atoms. The single-particle and configuration-mixing nuclear models are considered. The QED corrections are taken into account for both electronic and muonic atoms. The obtained results are compared with other calculations and with experiment.Comment: 8 pages, 5 tables, accepted for publication in Nuclear Instruments and Methods in Physics Research

Black hole uniqueness theorems and new thermodynamic identities in eleven dimensional supergravity

We consider stationary, non-extremal black holes in 11-dimensional supergravity having isometry group $\mathbb{R} \times U(1)^8$. We prove that such a black hole is uniquely specified by its angular momenta, its electric charges associated with the various 7-cycles in the manifold, together with certain moduli and vector valued winding numbers characterizing the topological nature of the spacetime and group action. We furthermore establish interesting, non-trivial, relations between the thermodynamic quantities associated with the black hole. These relations are shown to be a consequence of the hidden $E_{8(+8)}$ symmetry in this sector of the solution space, and are distinct from the usual "Smarr-type" formulas that can be derived from the first law of black hole mechanics. We also derive the "physical process" version of this first law applicable to a general stationary black hole spacetime without any symmetry assumptions other than stationarity, allowing in particular arbitrary horizon topologies. The work terms in the first law exhibit the topology of the horizon via the intersection numbers between cycles of various dimensions.Comment: 50pp, 3 figures, v2: references added, correction in appendix B, conclusions added, v3: reference section edited, typos removed, minor changes in appendix

Влияние кислотной обработки на состав и структуру природного алюмосиликатного катализатора

The effect of 10 % HCl treatment upon chemical, physical composition and porous structure of a natural aluminosilicate catalyst (Al-Si RB) has been investigated. Acid treatment (25,0-250,0 ml/g 10 % HCl) removes CaCO3, dolomite and increases the specific surface area of the catalyst. Modification of aluminosilicate by 175,0 and 250,0 ml/g 10 % HCl partially removes Al3+, Fe2+/3+, Mg2 cations, partly destroys the structure and decreases the specific surface area of catalyst.Установлено влияние условий модификации природного алюмосиликатного катализатора (глины) 10 % HCl на его химический и фазовый состав, пористую и кристаллическую структуру. При обработке алюмосиликата 25,0-250,0 мл/г 10 % HCl протекает катионный обмен, происходит удаление примесей - кальцита и доломита. Удельная поверхность катализатора после обработки 25, 50 и 100 мл/г 10 % HCl увеличивается на ~ 30, 40 и 60 % соответственно. Модификация алюмосиликата 175 и 250 мл/г 10 % HCl вызывает удаление существенного количества каркасных катионов - Al3+, Fe2+/3+, Mg2+, что приводит к частичному разрушению его структуры, снижению кислотности и удельной поверхности по сравнению с обработкой 50 и 100 мл/г 10% HCl

QED Effects in Heavy Few-Electron Ions

Accurate calculations of the binding energies, the hyperfine splitting, the bound-electron g-factor, and the parity nonconservation effects in heavy few-electron ions are considered. The calculations include the relativistic, quantum electrodynamic (QED), electron-correlation, and nuclear effects. The theoretical results are compared with available experimental data. A special attention is focused on tests of QED in a strong Coulomb field.Comment: 28 pages, 6 tables, 5 figure

Black hole instabilities and local Penrose inequalities

Various higher-dimensional black holes have been shown to be unstable by studying linearized gravitational perturbations. A simpler method for demonstrating instability is to find initial data that describes a small perturbation of the black hole and violates a Penrose inequality. An easy way to construct initial data is by conformal rescaling of the unperturbed black hole initial data. For a compactified black string, we construct initial data which violates the inequality almost exactly where the Gregory-Laflamme instability appears. We then use the method to confirm the existence of the "ultraspinning" instability of Myers-Perry black holes. Finally we study black rings. We show that "fat" black rings are unstable. We find no evidence of any rotationally symmetric instability of "thin" black rings.Comment: 35 pages, 12 figures. v2: typos corrected, matches published versio