Effective range from tetramer-dissociation data for cesium atoms

The shifts in the four-body recombination peaks, due to an effective range correction to the zero-range model close to the unitary limit, are obtained and used to extract the corresponding effective range of a given atomic system. The approach is applied to an ultracold gas of cesium atoms close to broad Feshbach resonances, where deviations of experimental values from universal model predictions are associated with effective range corrections. The effective range correction is extracted with a weighted average given by 3.9±0.8R vdW, where RvdW is the van der Waals length scale, which is consistent with the van der Waals potential tail for the Cs2 system. The method can be generally applied to other cold atom experimental setups to determine the contribution of the effective range to the tetramer dissociation position. © 2013 American Physical Society.

alpha alpha scattering in halo effective field theory

We study the two-alpha-particle (alpha alpha) system in an Effective Field Theory (EFT) for halo-like systems. We propose a power Counting that incorporates the subtle interplay of strong and electromagnetic forces leading to a narrow resonance at an energy of about 0.1 MeV. We investigate the EFT expansion in detail, and compare its results with existing low-energy aa phase shifts and previously determined effective-range parameters. Good description of the data is obtained with a surprising amount of fine-tuning. This scenario can be viewed as an expansion around the limit where, when electromagnetic interactions are turned off, the (8)Be ground state is at threshold and exhibits conformal invariance. We also discuss possible extensions to systems with more than two alpha particles. (c) 2008 Elsevier B.V. All rights reserved.

Scales, Universality and Finite-Range Correction in Three-body Systems

The scale invariance manifested by the weakly-bound Efimov states implies that all the Efimov spectrum can be merged in a single scaling function. By considering this scaling function, the ratio between two consecutive energy levels, E3 (N+1) and E3 (N), can be obtained from a two-body low-energy observable (usually the scattering length a), given in units of the three-body energy level N. The zero-ranged scaling function is improved by incorporating finite range corrections in first order of r0/a (r0 is the potential effective range). The critical condition for three-identical bosons in s-wave, when the excited E3 (N+1) state disappears in the 2 + 1 threshold, is given by √E2/E3 (N) ≈ 0.38+0.12(r0/a). © 2012 Springer-Verlag.

Range Corrections to Universal Tetramer Properties

The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev-Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. © 2013 Springer-Verlag Wien.

MULTI-BAND BOSE HUBBARD MODELS AND EFFECTIVE THREE-BODY INTERACTIONS

Experiments with ultracold atoms in optical lattice have become a versatile testing ground to study diverse quantum many-body Hamiltonians. A single-band Bose-Hubbard (BH) Hamiltonian was first proposed to describe these systems in 1998 and its associated quantum phase-transition was subsequently observed in 2002. Over the years, there has been a rapid progress in experimental realizations of more complex lattice geometries, leading to more exotic BH Hamiltonians with contributions from excited bands, and modified tunneling and interaction energies. There has also been interesting theoretical insights and experimental studies on “un- conventional” Bose-Einstein condensates in optical lattices and predictions of rich orbital physics in higher bands. In this thesis, I present our results on several multi- band BH models and emergent quantum phenomena. In particular, I study optical lattices with two local minima per unit cell and show that the low energy states of a multi-band BH Hamiltonian with only pairwise interactions is equivalent to an effec- tive single-band Hamiltonian with strong three-body interactions. I also propose a second method to create three-body interactions in ultracold gases of bosonic atoms in a optical lattice. In this case, this is achieved by a careful cancellation of two contributions in the pair-wise interaction between the atoms, one proportional to the zero-energy scattering length and a second proportional to the effective range. I subsequently study the physics of Bose-Einstein condensation in the second band of a double-well 2D lattice and show that the collision aided decay rate of the con- densate to the ground band is smaller than the tunneling rate between neighboring unit cells. Finally, I propose a numerical method using the discrete variable repre- sentation for constructing real-valued Wannier functions localized in a unit cell for optical lattices. The developed numerical method is general and can be applied to a wide array of optical lattice geometries in one, two or three dimensions.

ΛΛ Correlation Function In Au+au Collisions At √[s(nn)]=200 gev.

We present ΛΛ correlation measurements in heavy-ion collisions for Au+Au collisions at sqrt[s_{NN}]=200  GeV using the STAR experiment at the Relativistic Heavy-Ion Collider. The Lednický-Lyuboshitz analytical model has been used to fit the data to obtain a source size, a scattering length and an effective range. Implications of the measurement of the ΛΛ correlation function and interaction parameters for dihyperon searches are discussed.

Dos efeitos da Procriação Medicamente Assistida no Direito Sucessório

Dissertação de mestrado em Direito das Crianças, Família e Sucessões

Linear relation between deuteron matter radius and the scattering length

We explain the empirical linear relations between the triplet scattering length, or the asymptotic normalization constant, and the deuteron matter radius using the effective range expansion in a manner similar to a recent paper by Bhaduri et al. We emphasize the corrections due to the finite force range and to shape dependence. The discrepancy between the experimental values and the empirical line shows the need for a larger value of the wound extension, a parameter which we introduce here. Short-distance nonlocality of the n-p interaction is a plausible explanation for the discrepancy.

Canonical quantum potential scattering theory

A new formulation of potential scattering in quantum mechanics is developed using a close structural analogy between partial waves and the classical dynamics of many non-interacting fields. Using a canonical formalism we find nonlinear first-order differential equations for the low-energy scattering parameters such as scattering length and effective range. They significantly simplify typical calculations, as we illustrate for atom-atom and neutron-nucleus scattering systems. A generalization to charged particle scattering is also possible.

Effects of environrnental conditions on the radon daughters spatial distribution

The influence of environmental conditions on the indoor radon daughters spatial distribution is studied both theoretically and experimentally. Simple theoretical calculations indicate that ventilation and variation in the size distribution of aerosols should play an important role influencing the spatial distribution of indoor radon decay products, but experimental results indicate that these environmental factors have little influence on the spatial distribution of radon daughters near the walls of indoor environments. We have observed that the maximum effective range of the plate-out effect varies only between I and 3 cm in typical dwellings. (C) 2002 Elsevier B.V. Ltd. All rights reserved.

Positronium-hydrogen-atom scattering in a five-state model

The scattering of orthopositronium (Ps) by hydrogen atoms has been investigated in a five-state coupled-channel model allowing for Ps(1s)H(2s,2p) and Ps(2s,2p)H(1s) excitations using a recently proposed electron-exchange model potential. The higher (n greater than or equal to 3) excitations and ionization of the Ps atom are calculated using the first Born approximation. Calculations are reported of scattering lengths, phase shifts. elastic, Ps and H excitation, and total cross sections. Remarkable correlations are observed between the S-wave Ps-H binding energy and the singlet scattering length, effective range, and resonance energy obtained in various model calculations. These correlations suggest that if a Ps-H dynamical model yields the correct result for one of these four observables, it is expected to lead to the correct result for the other three. The present model, which is constructed so as to reproduce the Ps-H resonance at 4.01 eV, automatically yields a Ps-H bound state at - 1.05 eV that compares well with the accurate value of - 1.067 eV. The model leads to a singlet scattering length of 3.72a(0) and effective range of 1.67a(0), whereas the correlations suggest the precise values of 3.50a(0) and 1.65a(0) for these observables, respectively. [S1050-2947(99)07703-3].

Quantum scattering in one dimension

A self-contained discussion of non-relativistic quantum scattering is presented in the case of central potentials in one space dimension, which will facilitate the understanding of the more complex scattering theory in two and three dimensions. The present discussion illustrates in a simple way the concepts of partial-wave decomposition, phase shift, optical theorem and effective-range expansion.

Low-energy correlations in the positronium-hydrogen-atom system

Employing a nonlocal model potential for electron exchange we study positronium-hydrogen-atom (Ps-H) scattering using a five-state coupled-channel model allowing for Ps(2s,2p)H(1s) and Ps(1s)H(2s,2p) excitations. We find remarkable correlations among S-wave Ps-H binding energy, scattering length, effective range, and resonance energy in the electronic singlet state. Using these correlations we predict fairly accurate values of singlet Ps-H scattering length (3.50a0) and effective range (1.65a0).

Sviluppo, implementazione e valutazione funzionale di un nuovo modello protesico di caviglia

Total ankle arthroplasty (TAA) is still not as satisfactory as total hip and total knee arthroplasty. For the TAA to be considered a valuable alternative to ankle arthrodesis, an effective range of ankle mobility must be recovered. The disappointing clinical results of the current generation of TAA are mostly related to poor understanding of the structures guiding ankle joint mobility. A new design (BOX Ankle) has been developed, uniquely able to restore physiologic ankle mobility and a natural relationship between the implanted components and the retained ligaments. For the first time the shapes of the tibial and talar components in the sagittal plane were designed to be compatible with the demonstrated ligament isometric rotation. This resulted in an unique motion at the replaced ankle where natural sliding as well as rolling motion occurs while at the same time full conformity is maintained between the three components throughout the flexion arc. According to prior research, the design features a spherical convex tibial component, a talar component with radius of curvature in the sagittal plane longer than that of the natural talus, and a fully conforming meniscal component. After computer-based modelling and preliminary observations in several trial implantation in specimens, 126 patients were implanted in the period July 2003 – December 2008. 75 patients with at least 6 months follow-up are here reported. Mean age was 62,6 years (range 22 – 80), mean follow-up 20,2 months. The AOFAS clinical score systems were used to assess patient outcome. Radiographs at maximal dorsiflexion and maximal plantar flexion confirmed the meniscalbearing component moves anteriorly during dorsiflexion and posteriorly during plantarflexion. Frontal and lateral radiographs in the patients, show good alignment of the components, and no signs of radiolucency or loosening. The mean AOFAS score was observed to go from 41 pre-op to 74,6 at 6 month follow-up, with further improvement at the following follow-up. These early results reveal satisfactory clinical scores, with good recovery of range of motion and reduction of pain. Radiographic assessment reveals good osteointegration. All these preliminary results confirm biomechanical studies and the validity of this novel ligamentcompatible prosthesis design. Surely it will be important to re-evaluate these patients later.

Criterios para el dimensionamiento de redes de riego robustas frente a cambios en la alternativa de cultivos

En los años 50 y 60 del siglo XX se produjo en Europa un cambio en la concepción de los sistemas de riego, en los cuales se pasó del regadío por superficie al presurizado y con ello del riego por turnos al riego a la demanda. Las ventajas de este nuevo sistema de riego dieron lugar a una gran expansión de las redes colectivas de riego a presión, especialmente en los países del arco mediterráneo y del Sur de Europa (Francia, España, Italia, Portugal y Grecia). Desde entonces el riego presurizado a la demanda ha tenido una evolución permanente, en la que han mejorado los equipos y las técnicas de aplicación del riego, siempre con una clara orientación hacía el incremento de la productividad. Esta evolución unida a los vaivenes de los mercados, al abaratamiento de los transportes y la globalización, y a las subvenciones agrícolas, ha propiciado que las alternativas de cultivos previstas hayan sufrido cambios. El cambio de la alternativa de cultivos hacia otros más exigentes desde el punto de vista de las necesidades hídricas tiene como consecuencia el aumento de los consumos, circunstancia para cual debe estar capacitada la red. Otros fenómenos como el cambio climático, de amplio interés a día de hoy, presentan algunos escenarios en lo que se prevé un incremento de las temperaturas que unido a una reducción en las precipitaciones, supondría también que se elevarían las necesidades de riego de los cultivos. Todas estas circunstancias deben ser contempladas en la redacción de los proyectos de transformación de nuevas zonas regables y en los de modernización de las existentes. Las redes de riego deben estar dimensionadas para poder atender dichos incrementos de consumo. La fortaleza de la red para atender variaciones en las demandas de agua se convierte por tanto en una premisa del proyecto. Dicha fortaleza se puede conseguir de formas diferentes y a costos distintos, puesto que en el proceso de dimensionamiento estadístico de los caudales circulantes en punta de campaña intervienen muchas variables y parámetros de riego. En la presente tesis doctoral se analiza en detalle el estado del arte en la materia, se efectúa un análisis de la función específica y la influencia en el cálculo de cada uno de los parámetros, se establece un procedimiento de actuación que optimice el dimensionamiento de la red colectiva para que ésta disponga de la robustez necesaria para hacer frente a incrementos potenciales de consumo de agua sobre la previsiones de base del proyecto y se establecen los criterios, rangos y combinaciones de parámetros que permiten dotar a la red de la fortaleza necesaria de la manera más eficiente posible. During the 1950s and 1960s the design of irrigation systems in Europe underwent change. Traditional surface irrigation was replaced by pressure irrigation, with the delivery method shifting from a scheduled type to an on-demand one. The advantages obtained with this new system led to a significant development of on-demand pressurised irrigation districts, especially in the Southern countries (France, Greece, Italy, Portugal and Spain). On-demand pressurised irrigation has since evolved in a continuous manner in which, with the purpose of gaining productivity, on-farm equipment and automation instruments have seen improvements. Such developments, along with market fluctuations, reductions in transport costs, globalisation and the influence of agricultural subsidies, have resulted in changes in the crop pattern. The farming of new crops may require more water and the consumption may become greater. In addition to this, other phenomena, such as the frequently-debated effects of climate change, reveal scenarios in which an increase in temperatures and the accompanying reductions in rainfall are expected. One consequence of this would be an increase in irrigation requirements and subsequent impact on irrigation networks. All such circumstances should be taken into account in both the design of new irrigation districts and the upgrading of the existing ones. Irrigation networks should be of a size that allows them to meet increases in consumption. The robustness of the network, defined as its capacity to absorb increments in water requirements, becomes a key point to be taken into account in the design phase. Given that there are several parameters that influence the calculus of design flows, such robustness may be obtained in different ways and at varying costs. In the context of this, the thesis reviews the state of the art, analyses the role and influence of each parameter, establishes a procedure for checking the design and robustness of on-demand irrigation networks, and sets design criteria for selecting the most effective range and combination of parameters that provide the network with such robustness.