On the role of the magnetic dipolar interaction in cold and ultracold collisions: Numerical and analytical results for NH(3Σ−^3\Sigma^-) + NH(3Σ−^3\Sigma^-)

We present a detailed analysis of the role of the magnetic dipole-dipole interaction in cold and ultracold collisions. We focus on collisions between magnetically trapped NH molecules, but the theory is general for any two paramagnetic species for which the electronic spin and its space-fixed projection are (approximately) good quantum numbers. It is shown that dipolar spin relaxation is directly associated with magnetic-dipole induced avoided crossings that occur between different adiabatic potential curves. For a given collision energy and magnetic field strength, the cross-section contributions from different scattering channels depend strongly on whether or not the corresponding avoided crossings are energetically accessible. We find that the crossings become lower in energy as the magnetic field decreases, so that higher partial-wave scattering becomes increasingly important \textit{below} a certain magnetic field strength. In addition, we derive analytical cross-section expressions for dipolar spin relaxation based on the Born approximation and distorted-wave Born approximation. The validity regions of these analytical expressions are determined by comparison with the NH + NH cross sections obtained from full coupled-channel calculations. We find that the Born approximation is accurate over a wide range of energies and field strengths, but breaks down at high energies and high magnetic fields. The analytical distorted-wave Born approximation gives more accurate results in the case of s-wave scattering, but shows some significant discrepancies for the higher partial-wave channels. We thus conclude that the Born approximation gives generally more meaningful results than the distorted-wave Born approximation at the collision energies and fields considered in this work.Comment: Accepted by Eur. Phys. J. D for publication in Special Issue on Cold Quantum Matter - Achievements and Prospects (2011

Accumulation of stark-decelerated nh molecules in a magnetic trap

Contains fulltext : 99115.pdf (author's version ) (Open Access

Cavity cooling of atoms: within and without a cavity

We compare the efficiencies of two optical cooling schemes, where a single particle is either inside or outside an optical cavity, under experimentally-realisable conditions. We evaluate the cooling forces using the general solution of a transfer matrix method for a moving scatterer inside a general one-dimensional system composed of immobile optical elements. Assuming the same atomic saturation parameter, we find that the two cooling schemes provide cooling forces and equilibrium temperatures of comparable magnitude

Zinc availability for corn grown on an oxisol amended with flue dust Disponibilidade de zinco para o milho em latossolo vermelho tratado com pó-de-aciaria

The costs related to the construction and maintenance of industrial landfills, and the environmental risks that they may represent, have increased the interest of several types of industries in studying the possibility of applying residues to agricultural soils. This study evaluates the efficiency of flue dust as a zinc source for corn, and the zinc availability for corn evaluated by four methods. A greenhouse experiment carried out at Campinas, SP, Brazil, evaluated the effect of two zinc sources (flue dust and zinc sulphate), at three rates (5, 50 and 150 mg dm-3), in one soil (Rhodic Hapludox) under two pH conditions (5.0 and 6.0). The treatments were arranged in a randomized factorial scheme design with three replications. Zinc availability indexes were determined by the pH 7.3 DTPA, Mehlich-1, and Mehlich-3 methods. The free Zn2+ activity in soil solution was calculated by the MINTEQ computer model. The extraction methods and the activity of the free ion Zn2+ were equally reliable to evaluate zinc availability in the soil amended with flue dust. More than 70% of the total Zn present in the saturation extract was in the free ion form, and the remainder was mainly complexed to SO4(2-) and OH-, independent of soil pH. Flue dust is a zinc supplier to plants. All tested methods were efficient in evaluating Zn availability for corn, independently of soil pH.<br>Os custos com a construção e manutenção de aterros industriais e os riscos ambientais que podem representar têm aumentado o interesse de vários tipos de indústrias em estudar a viabilidade de aplicação de resíduos no solo agrícola. Este trabalho avalia a eficiência do pó de aciaria quanto ao suprimento de zinco para o milho e a disponibilidade desse metal comparada por quatro métodos de extração. O experimento foi conduzido em casa de vegetação em Campinas, SP, Brasil, avaliando o efeito de duas fontes de zinco (pó de aciaria e sulfato de zinco), em três doses (5, 50 e 150 mg dm-3) e um solo (Latossolo Vermelho) com dois valores de pH (5,0 e 6,0). Os tratamentos foram distribuídos em esquema fatorial com três repetições. A disponibilidade de zinco foi determinada por DTPA pH 7.3, Mehlich-1 e Mehlich-3 e a atividade do Zn2+ livre na solução do solo foi calculada pelo modelo MINTEQ. Nos dois valores de pH estudados, tanto a atividade do Zn2+ como os três métodos de extração foram igualmente eficientes em avaliar a disponibilidade de zinco para as plantas em solos tratados com pó de aciaria. Mais que 70% do Zn total presente no extrato de saturação estava como íon livre e o restante complexado com SO4(2-) e OH-, independente do pH do solo. O pó de aciaria é uma fonte de zinco para as plantas. Todos os métodos testados foram eficientes em estimar a disponibilidade de Zn para o milho, independente do p