Quasilocal density functional theory and its application within the extended Thomas-Fermi approximation

In this paper we propose a generalization of the density functional theory. The theory leads to single-particle equations of motion with a quasilocal mean-field operator, which contains a quasiparticle position-dependent effective mass and a spin-orbit potential. The energy density functional is constructed using the extended Thomas-Fermi approximation and the ground-state properties of doubly magic nuclei are considered within the framework of this approach. Calculations were performed using the finite-range Gogny D1S forces and the results are compared with the exact Hartree-Fock calculations

Nuclear incompressibility in the quasilocal density functional theory

We explore the ability of the recently established quasilocal density functional theory for describing the isoscalar giant monopole resonance. Within this theory we use the scaling approach and perform constrained calculations for obtaining the cubic and inverse energy weighted moments (sum rules) of the RPA strength. The meaning of the sum rule approach in this case is discussed. Numerical calculations are carried out using Gogny forces and an excellent agreement is found with HF+RPA results previously reported in literature. The nuclear matter compression modulus predicted in our model lies in the range 210230 MeV which agrees with earlier findings. The information provided by the sum rule approach in the case of nuclei near the neutron drip line is also discussed.

Density matrix functional theory that includes pairing correlations

The extension of density functional theory (DFT) to include pairing correlations without formal violation of the particle-number conservation condition is described. This version of the theory can be considered as a foundation of the application of existing DFT plus pairing approaches to atoms, molecules, ultracooled and magnetically trapped atomic Fermi gases, and atomic nuclei where the number of particles is conserved exactly. The connection with Hartree-Fock-Bogoliubov (HFB) theory is discussed, and the method of quasilocal reduction of the nonlocal theory is also described. This quasilocal reduction allows equations of motion to be obtained which are much simpler for numerical solution than the equations corresponding to the nonlocal case. Our theory is applied to the study of some even Sn isotopes, and the results are compared with those obtained in the standard HFB theory and with the experimental ones.

External dichotomous noise: The problem of the mean-first-passage time

A retarded backward equation for a non-Markovian process induced by dichotomous noise (the random telegraphic signal) is deduced. The mean-first-passage time of this process is exactly obtained. The Gaussian white noise and the white shot noise limits are studied. Explicit physical results in first approximation are evaluated.

Deformation properties of the Barcelona-Catania-Paris (BCP) energy density functional

We explore the deformation properties of the newly postulated Barcelona-Catania-Paris (BCP) energy density functional (EDF). The results obtained for three isotope chains of Mg, Dy, and Ra are compared to the available experimental data as well as to the results of the Gogny-D1S force. Results for the fission barrier of 240Pu are also discussed.

Density dependence of the symmetry free energy of hot nuclei

The density and excitation energy dependence of symmetry energy and symmetry free energy for finite nuclei are calculated microscopically in a microcanonical framework, taking into account thermal and expansion effects. A finite-range momentum and density-dependent two-body effective interaction is employed for this purpose. The role of mass, isospin, and equation of state (EOS) on these quantities is also investigated; our calculated results are in consonance with the available experimental data.

Double folding with a density-dependent effective interaction and it s analytical approximation

The real part of the optical potential for heavy ion elastic scattering is obtained by double folding of the nuclear densities with a density-dependent nucleon-nucleon effective interaction which was successful in describing the binding, size, and nucleon separation energies in spherical nuclei. A simple analytical form is found to differ from the resulting potential considerably less than 1% all through the important region. This analytical potential is used so that only few points of the folding need to be computed. With an imaginary part of the Woods-Saxon type, this potential predicts the elastic scattering angular distribution in very good agreement with experimental data, and little renormalization (unity in most cases) is needed.

Zenith angle distributions at Super-Kamiokande and SNO and the solution of the solar neutrino problem

We have performed a detailed study of the zenith angle dependence of the regeneration factor and distributions of events at SNO and SK for different solutions of the solar neutrino problem. In particular, we discuss the oscillatory behavior and the synchronization effect in the distribution for the LMA solution, the parametric peak for the LOW solution, etc. A physical interpretation of the effects is given. We suggest a new binning of events which emphasizes the distinctive features of the zenith angle distributions for the different solutions. We also find the correlations between the integrated day-night asymmetry and the rates of events in different zenith angle bins. The study of these correlations strengthens the identification power of the analysis.

Komik, Ernst und Mise en page. Zum Problem der Farblinien in Heinrich Wittenwilers "Der Ring"

Der Aufsatz nähert sich dem Interpretationsproblem des ,Ring', eines seit Forschungsbeginn ausserordentlich konträr diskutierten Textes, aus wissenschaftsanalytischer Perspektive. Er führt die Zersplitterung und die Extremisierung der Deutungsansätze, die die breite Forschung zu Wittenwilers Werk kennzeichnet, auf einen vergleichsweise simplen Befund zurück: die ungeklärte Frage nach dem Verhältnis von Komik und Didaktik und der Ernsthaftigkeit des lehrhaften Angebots im ,Ring'. Die so auf grundlegendster Ebene offen gebliebene Erfassung des Textes führt in einen interpretatorischen Leerraum, in dem die widersprüchlichsten, oft wissenschaftsideologisch begründeten Positionen Platz finden. Ihre Analyse zeigt, dass sie sich in wiederkehrende Gruppierungen ordnen. Als Schlüsselglied sowohl der Befunddaten als auch der konträren Vernetzungen von Befund und Deutung wird die wechselnd rote und grüne Initialenlinie der Münchner Handschrift identifiziert. Als im Prolog eingeführte Markierung von Ernst auf der einen und Komik auf der anderen Seite ist sie nicht nur visueller Ausdruck des Deutungsproblems des ,Ring', sondern sie hat es wegen der scheinbaren Unstimmigkeit ihrer Zuweisungen auch wesentlich bedingt. Der Aufsatz zeigt ihren bisher übersehenen Aufschluss für das Verständnis des Werks. Nimmt man die Linie als graphisches Verfahren ernst, stellt sie sich als strukturelle Markierung zum Auffinden von Text im diskontinuierlichen Zugriff dar - nicht aber, wie man sie bisher ausnahmslos verstand, als semantische Kommentierung eines laufenden, kontinuierlich zu lesenden Textes. Die strukturierende Funktion des Farbwechsels ist auf zwei Ebenen nachzuweisen: Auf Makroebene trennen seine Zuweisungen vorwiegend narrative und vorwiegend wissensvermittelnde Grosspartien des ,Ring' durch eine jeweilige Grundfarbe. Auf Mikroebene wird diese Grundfarbe durch die jeweils andere Farbe durchbrochen, um formale Einschnitte wie etwa Sprecherwechsel, Ortswechsel, Handlungsneueinsätze, Beginn und Ende eines eingeschalteten Binnentextes oder einer Sentenz anzuzeigen. Dem Benutzer der autornahen Handschrift sollte so in einem ersten Schritt (makrostrukturell) ermöglicht werden, gezielt auf gewünschte Stellen des Textes zuzugreifen und ihn in einem zweiten Schritt (mikrostrukturell) schneller zu erfassen. Nicht in seiner Umsetzung, sehr wohl aber in seiner Funktion steht dieses ungewöhnliche Layout zeitgenössischen Techniken der Buchgliederung durchaus nahe. Auch im Profil der Zusammenstellung seiner Binnentexte rückt der ,Ring' damit in die Nähe der im Spätmittelalter beliebten Sammelhandschriften mit Ziel einer Wissenssumme, die hier narrativ verbundenen wird. Es scheint, als möchte der ,Ring' in einem ungewöhnlichen Experiment beides sein: Kompilation und Werkganzes, Wissenssammlung und Erzählwerk - Texte und Text. Als Ergebnis einer Neuuntersuchung des Münchner codex unicus des ,Ring' weist der Beitrag schliesslich darauf hin, dass auch zahlreiche Markierungszeichen am Spaltenrand formale und strukturelle Texteinschnitte anzeigen und somit die gleiche Funktion haben wie der Farbwechsel auf Mikroebene. Ein kausaler, produktionstechnischer Zusammenhang zwischen diesen Zeichen und der Verteilung des Farbwechsels ist nicht auszuschliessen, zumal beide Verfahren etwa im letzten Fünftel des Textes zunehmend zusammenfallen. Möglicherweise war nur die makrostrukturelle Funktion des Farbwechsel ursprünglich indendiert und mit der Erläuterung im Prolog bezeichnet, während seine mikrostrukturelle Funktion erst Resultat des Abschreibprozesses ist.

A test of Jessor's problem behavior theory in a Eurasian and a Western European developmental context.

PURPOSE: The current study tested the applicability of Jessor's problem behavior theory (PBT) in national probability samples from Georgia and Switzerland. Comparisons focused on (1) the applicability of the problem behavior syndrome (PBS) in both developmental contexts, and (2) on the applicability of employing a set of theory-driven risk and protective factors in the prediction of problem behaviors. METHODS: School-based questionnaire data were collected from n = 18,239 adolescents in Georgia (n = 9499) and Switzerland (n = 8740) following the same protocol. Participants rated five measures of problem behaviors (alcohol and drug use, problems because of alcohol and drug use, and deviance), three risk factors (future uncertainty, depression, and stress), and three protective factors (family, peer, and school attachment). Final study samples included n = 9043 Georgian youth (mean age = 15.57; 58.8% females) and n = 8348 Swiss youth (mean age = 17.95; 48.5% females). Data analyses were completed using structural equation modeling, path analyses, and post hoc z-tests for comparisons of regression coefficients. RESULTS: Findings indicated that the PBS replicated in both samples, and that theory-driven risk and protective factors accounted for 13% and 10% in Georgian and Swiss samples, respectively in the PBS, net the effects by demographic variables. Follow-up z-tests provided evidence of some differences in the magnitude, but not direction, in five of six individual paths by country. CONCLUSION: PBT and the PBS find empirical support in these Eurasian and Western European samples; thus, Jessor's theory holds value and promise in understanding the etiology of adolescent problem behaviors outside of the United States.

Reply to Comment on 'Two-finger selection theory in the Saffman-Taylor problem

We clarify the meaning of the results of Phys. Rev. E 60, R5013 (1999). We discuss the use and implications of periodic boundary conditions, as opposed to rigid-wall ones. We briefly argue that the solutions of the paper above are physically relevant as part of a more general issue, namely the possible generalization to dynamics, of the microscopic solvability scenario of selection.