Continued fraction representation of the Coulomb Green's operator and unified description of bound, resonant and scattering states

If a quantum mechanical Hamiltonian has an infinite symmetric tridiagonal (Jacobi) matrix form in some discrete Hilbert-space basis representation, then its Green's operator can be constructed in terms of a continued fraction. As an illustrative example we discuss the Coulomb Green's operator in Coulomb-Sturmian basis representation. Based on this representation, a quantum mechanical approximation method for solving Lippmann-Schwinger integral equations can be established, which is equally applicable for bound-, resonant- and scattering-state problems with free and Coulombic asymptotics as well. The performance of this technique is illustrated with a detailed investigation of a nuclear potential describing the interaction of two $\alpha$ particles.Comment: 7 pages, 4 ps figures, revised versio

Calculation of the properties of the rotational bands of 155,157^{155,157}Gd

We reexamine the long-standing problem of the microscopic derivation of a particle-core coupling model. We base our research on the Klein-Kerman approach, as amended by D\"onau and Frauendorf. We describe the formalism to calculate energy spectra and transition strengths in some detail. We apply our formalism to the rotational nuclei $^{155,157}$Gd, where recent experimental data requires an explanation. We find no clear evidence of a need for Coriolis attenuation.Comment: 27 pages, 13 uuencoded postscript figures. Uses epsf.st

Gross shell structure at high spin in heavy nuclei

Experimental nuclear moments of inertia at high spins along the yrast line have been determined systematically and found to differ from the rigid-body values. The difference is attributed to shell effects and these have been calculated microscopically. The data and quantal calculations are interpreted by means of the semiclassical Periodic Orbit Theory. From this new perspective, features in the moments of inertia as a function of neutron number and spin, as well as their relation to the shell energies can be understood. Gross shell effects persist up to the highest angular momenta observed.Comment: 40 pages total; 22 pages text, 19 figures sent as 27 .png file

Halo Excitation of 6^6He in Inelastic and Charge-Exchange Reactions

Four-body distorted wave theory appropriate for nucleon-nucleus reactions leading to 3-body continuum excitations of two-neutron Borromean halo nuclei is developed. The peculiarities of the halo bound state and 3-body continuum are fully taken into account by using the method of hyperspherical harmonics. The procedure is applied for A=6 test-bench nuclei; thus we report detailed studies of inclusive cross sections for inelastic $^6$He(p,p')$^6$He$^*$ and charge-exchange $^6$Li(n,p)$^6$He$^*$ reactions at nucleon energy 50 MeV. The theoretical low-energy spectra exhibit two resonance-like structures. The first (narrow) is the excitation of the well-known $2^+$ three-body resonance. The second (broad) bump is a composition of overlapping soft modes of multipolarities $1^-, 2^+, 1^+, 0^+$ whose relative weights depend on transferred momentum and reaction type. Inelastic scattering is the most selective tool for studying the soft dipole excitation mode.Comment: Submitted to Phys. Rev. C., 11 figures using eps

Spin dynamics in the diluted ferromagnetic Kondo lattice model

The interplay of disorder and competing interactions is investigated in the carrier-induced ferromagnetic state of the Kondo lattice model within a numerical finite-size study in which disorder is treated exactly. Competition between impurity spin couplings, stability of the ferromagnetic state, and magnetic transition temperature are quantitatively investigated in terms of magnon properties for different models including dilution, disorder, and weakly-coupled spins. A strong optimization is obtained for T_c at hole doping p << x, highlighting the importance of compensation in diluted magnetic semiconductors. The estimated T_c is in good agreement with experimental results for Ga_{1-x}Mn_x As for corresponding impurity concentration, hole bandwidth, and compensation. Finite-temperature spin dynamics is quantitatively studied within a locally self-consistent magnon renormalization scheme, which yields a substantial enhancement in T_c due to spin clustering, and highlights the nearly-paramagnetic spin dynamics of weakly-coupled spins. The large enhancement in density of low-energy magnetic excitations due to disorder and competing interactions results in a strong thermal decay of magnetization, which fits well with the Bloch form M_0(1-BT^{3/2}) at low temperature, with B of same order of magnitude as obtained in recent squid magnetization measurements on Ga_{1-x}Mn_x As samples.Comment: 13 pages, 14 figure

Modelling of regulatory factor and managerial impact assessment in the regional economy sectors: a case-study of the Kaliningrad region (Russia)

This article discusses the methodology of developing tools for assessing regulatory factors and managerial impacts on the regional economy and individual sectors and businesses. The potential of projection models is investigated, including balance models, convergence of regional and sectoral projection and compiling reliable and representative data sets capable of describing the current economic situation. An attempt was made to develop a series of models for several regional economies; to that end, the modelling of managerial and regulatory impact assessment was used in combination with the well-known value chain approach. In the interests of effective public administration, one of the requirements is to create sectoral model formats compatible with the regional projection models. Results of pilot modelling managerial and regulatory impacts on Kaliningrad region’s economies are presented through examples of agribusiness, transport, industry, tourism and recreation. Implementation of regulatory impact modelling in the framework of the suggested approach is proved for other regions. The main advantage of the developed models for the regional management is their ability to reduce uncertainty in decision-making due to obtaining estimates of the impact of the decisions on the changing situation and the conditions for the development of sectors and industries

Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis

We present a systematic analysis of the description of odd nuclei by the Skyrme-Hartree-Fock approach augmented with pairing in BCS approximation and blocking of the odd nucleon. Current and spin densities in the Skyrme functional produce time-odd mean fields (TOMF) for odd nuclei. Their effect on basic properties (binding energies, odd-even staggering, separation energies and spectra) is investigated for the three Skyrme parameterizations SkI3, SLy6, and SV-bas. About 1300 spherical and axially-deformed odd nuclei with 16 < Z < 92 are considered. The calculations demonstrate that the TOMF effect is generally small, although not fully negligible. The influence of the Skyrme parameterization and the consistency of the calculations are much more important. With a proper choice of the parameterization, a good description of binding energies and their differences is obtained, comparable to that for even nuclei. The description of low-energy excitation spectra of odd nuclei is of varying quality depending on the nucleus

Sensitivities of the Proton-Nucleus Elastical Scattering Observables of 6He and 8He at Intermediate Energies

We investigate the use of proton-nucleus elastic scattering experiments using secondary beams of 6He and 8He to determine the physical structure of these nuclei. The sensitivity of these experiments to nuclear structure is examined by using four different nuclear structure models with different spatial features using a full-folding optical potential model. The results show that elastic scattering at intermediate energies (<100 MeV per nucleon) is not a good constraint to be used to determine features of structure. Therefore researchers should look elsewhere to put constraints on the ground state wave function of the 6He and 8He nuclei.Comment: To be published in Phys. Rev.

Interfering Doorway States and Giant Resonances. I: Resonance Spectrum and Multipole Strengths

A phenomenological schematic model of multipole giant resonances (GR) is considered which treats the external interaction via common decay channels on the same footing as the coherent part of the internal residual interaction. The damping due to the coupling to the sea of complicated states is neglected. As a result, the formation of GR is governed by the interplay and competition of two kinds of collectivity, the internal and the external one. The mixing of the doorway components of a GR due to the external interaction influences significantly their multipole strengths, widths and positions in energy. In particular, a narrow resonance state with an appreciable multipole strength is formed when the doorway components strongly overlap.Comment: 20 pages, LaTeX, 3 ps-figures, to appear in PRC (July 1997

Изучение гемосовместимости магнитных наночастиц магнетита и композитных частиц магнетита-кремнезема in vitro

The goal of the present research is to study the hemocompatibility of magnetic nanoparticles (MNPs)  in model systems in vitro.Materials and methods. Magnetite nanoparticles and magnetite colloidal solutions were used in 0.9% NaCl in concentrations 0.2, 2.0 and 20.0 mg/ml. The study was performed with heparinized human whole blood, 1 ml of which was mixed with 1 of ml nanoparticles/physiological solution. Measurements were made directly after mixing, and then 1, 2.5 and 5 hours later. The amount of reactive oxygen species (ROS) was measured with luminol-dependent chemiluminiscence (CL). An erythrocyte aggregation index was calculated. For the assessment of hemolytic properties, a hemolysis coefficient was calculated based on optical density of the plasma. The nanoparticless surface protein layer investigation was performed with IR-Fourier spectroscopy.Results. Nanoparticles decline CL in timeand concentration-dependent manner. Erythrocyte aggregation stability grows, but concentration and/or application time increment leads to significant hemolysis. IR-Fourier spectroscopy data shows albumin as main component of protein crown, whose conformation changes in time.Given data proves safety of studied MNPs in relation to examined parameters in low (0.2 and 2.0 mg/ml) concentrations up to 2.5 hours interaction. This allows us to treat these MNPs as a promising agents for further use in medical practice after completing examinations related to other homeostasis indicators.Целью данного исследования явилось изучение гемосовместимости магнитных наночастиц (МНЧ) в модельных системах in vitro.Материалы и методы. В работе использованы коллоидные растворы наночастиц магнетита (МНЧ1) и композитных частиц магнетита-кремнезема (МНЧ2) в 0,9%-м растворе NaCl в концентрациях 0,2; 2,0 и 20,0 мг/мл. Исследование проводили на гепаринизированной цельной крови человека, для чего  к 1 мл крови добавляли 1 мл раствора наночастиц или физиологического раствора (контроль). Измерения проводили непосредственно после приготовления смеси через 1; 2,5 и 5 ч. Количество активных форм кислорода (АФК) детектировали с помощью метода люминолзависимой хемилюминесценции (ХЛ), вычисляли индекс агрегации эритроцитов, для оценки гемолитических свойств рассчитывали коэффициент гемолиза на основе показателей оптической плотности плазмы, исследование белкового слоя на поверхности наночастиц производили при помощи ИК-Фурье спектроскопии.Результаты. Установлено, что наночастицы обоих типов в концентрации 0,2 и 20,0 мг/мл усиливают ХЛ непосредственно после введения и подавляют ее в ходе инкубации, при этом эффект усиливается с увеличением концентрации и времени воздействия. Также отмечено увеличение агрегационной устойчивости эритроцитов, однако с повышением дозы и времени воздействия наблюдался значительный гемолиз. ИК-Фурье спектроскопия показала оседание альбумина на поверхности МНЧ, который меняет свою конформацию с течением времени.Таким образом, полученные данные свидетельствуют о безопасности данных МНЧ по исследованным параметрам в низких концентрациях (0,2 и 2,0 мг/мл) при взаимодействии до 2,5 ч. Это позволяет рассматривать данные агенты как перспективные средства для дальнейшего использования в медицинской практике после завершения исследований в отношении других показателей гомеостаза