Optimal damping algorithm for unrestricted Hartree-Fock calculations

We have developed a couple of optimal damping algorithms (ODAs) for unrestricted Hartree-Fock (UHF) calculations of open-shell molecular systems. A series of equations were derived for both concurrent and alternate constructions of alpha- and beta-Fock matrices in the integral-direct self-consistent-field (SCF) procedure. Several test calculations were performed to check the convergence behaviors. It was shown that the concurrent algorithm provides better performance than does the alternate one.Comment: 4 color figure

SPC18の発現は、食道癌患者において独立した予後不良因子である

広島大学(Hiroshima University)博士(医学)Doctor of Philosophy in Medical Sciencedoctora

Emergence of self-similarity in football dynamics

The multiplayer dynamics of a football game is analyzed to unveil self-similarities in the time evolution of player and ball positioning. Temporal fluctuations in both the team-turf boundary and the ball location are uncovered to follow the rules of fractional Brownian motion with a Hurst exponent of H=0.7. The persistence time below which self-similarity holds is found to be several tens of seconds, implying a characteristic time scale that governs far-from-equilibrium motion on a playing field.Comment: Figures 1 and 2 are blurred due to file-size restriction. Sharply-defined images can be viewed in the final version published by European Physical Journal

Povo versus bloco de poder: elementos para análise dialógica da identidade nacional

O objetivo deste texto é apresentar, a partir de Stuart Hall, ferramentas cognitivas capazes não só de compreender a dimensão ontológica das manifestações nacionalistas brasileiras, como também de enfocá-las segundo uma análise dialógica ou discursiva. Longe de querer fixar seu pensamento, ora delimitando-o em uma escola (Estudos Culturais), ora restringindo sua aplicação à esfera do midiático, o que se procura aqui é a possibilidade interpretativa de seus conceitos a uma abrangência de temas relacionados à questão da identidade nacional.This text aims at presenting, based on Stuart Hall, cognitive tools able not only to comprehend the ontological dimension of the Brazilian nationalist manifestations but also to focus them according to a dialogical or discursive analysis. Far from wanting to fix his thought, sometimes delimiting it in a school (Cultural Studies), sometimes restricting its application to the media sphere, what is sought here is an interpretative possibility of its concepts to a scope of themes related to the question of national identity

D∗D^{\ast} polarization vs. RD(∗)R_{D^{(\ast)}} anomalies in the leptoquark models

Polarization measurements in $\bar{B} \to D^{(\ast)} \tau \overline{\nu}$ are useful to check consistency in new physics explanations for the $R_{D}$ and $R_{D^{\ast}}$ anomalies. In this paper, we investigate the $D^{\ast}$ and $\tau$ polarizations and focus on the new physics contributions to the fraction of a longitudinal $D^{\ast}$ polarization ($F_{L}^{D^{\ast}}$), which is recently measured by the Belle collaboration $F_{L}^{D^{\ast}} = 0.60 \pm 0.09$, in model-independent manner and in each single leptoquark model (${\rm R}_2$, ${\rm S}_1$ and ${\rm U}_1$) that can naturally explain the $R_{D^{(\ast)}}$ anomalies. It is found that $\mathcal{B}(B_c^{+} \to \tau^{+} \nu)$ severely restricts deviation from the Standard Model (SM) prediction of $F_{L, \textrm{SM}}^{D^{\ast}} = 0.46 \pm 0.04$ in the leptoquark models: [0.43, 0.44], [0.42, 0.48], and [0.43, 0.47] are predicted as a range of $F_{L}^{D^{\ast}}$ for the ${\rm R}_2$, ${\rm S}_1$, and ${\rm U}_1$ leptoquark models, respectively, where the current data of $R_{D^{(\ast)}}$ is satisfied at $1\,\sigma$ level. It is also shown that the $\tau$ polarization observables can much deviate from the SM predictions. The Belle II experiment, therefore, can check such correlations between $R_{D^{(\ast)}}$ and the polarization observables, and discriminate among the leptoquark models.Comment: 24 pages, 3 figures, 1 table; references added, version published in JHE

Flow of Rarefied Vapour past a Liquid Sphere

This paper deals with the low Mach numbers flow of a rarefied vapour past a liquid sphere accompanied with condensation and evaporation at its surface. The linearized Bhatnager-Gross-Krook(B-G-K} equation is used for the analysis, and from it the integral equations of the density, temperature and flow velocities are derived. These integral equations are solved numerically over a wide range of the Knudsen number covering from the slip flow to the nearly free molecular flow. The drag on the sphere is also calculated and is compared with that of previous work