Scattering parameters for cold Li–Rb and Na–Rb collisions derived from variable phase theory

Ouerdane, Henni; Jamieson, M. J.

doi:10.1103/physreva.70.022712

Cited by 24 publications

(32 citation statements)

References 27 publications

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“…Substituting α = C 6 /27 3 √ 3 and n = 10/3 into the formula of Gribakin and Flambaum we obtain the semiclassical formula of Dickinson. The Schrödinger equation for l-wave scattering can be reduced to an s-wave scattering equation by the transformation Z = R 2l+1 /(2l + 1) [9,23]. This transformation and the formula of Gribakin and Flambaum can be used in the manner described above to find a generalisation of the semiclassical formula for the quantity analogous to the scattering length, provided it exists, for higher angular momenta and potentials that behave asymptotically…”

Section: Theory a Low Energy Scatteringmentioning

confidence: 99%

“…In Refs. [8,9] we showed how upper and lower bounds to the scattering length and scattering volume can be obtained and gave expressions of improved approximations to the scattering parameters as linear combinations of those bounds.…”

Section: Theory a Low Energy Scatteringmentioning

confidence: 99%

“…In our previous analysis [9] we related l-wave scattering to s-wave scattering using a relation given by Calogero [23]; here we present a simplified version for pwave scattering. Making the substitution Z = R 3 /3 and writing the zero energy radial wave function as R −1 φ(Z), we obtain, from the p-wave Schrödinger equation, an swave Schrödinger equation that is satisfied by φ(Z) but with the potential divided by (dZ/dR) 2 .…”

Section: Theory a Low Energy Scatteringmentioning

confidence: 99%

“…Previously we demonstrated the utility of the variable phase method to circumvent numerical technical difficulties and to accelerate convergence of the accumulated scattering parameters [8,9]. However the reliability of computed data also depends on the accuracy of the molecular potentials; it is possible that, within its error bounds, a molecular potential supports a near zeroenergy bound state which makes the computed scattering length extremely sensitive to any change in the potential.…”

Section: Introductionmentioning

confidence: 99%

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s-wave and p-wave scattering in a cold gas of Na and Rb atoms

Ouerdane

Jamieson

2009

Eur. Phys. J. D

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*Using improved experimentally based X 1 Σ + and a 3 Σ + molecular potentials of NaRb, we apply the variable phase method to compute new data for low energy scattering of 23 Na atoms by 85 Rb atoms and 87 Rb atoms. These are the scattering lengths and volumes, numbers of bound states and effective ranges, which we use to obtain the low energy spin-change cross section as functions of the system temperature and the isotope masses. From an analysis of the contributions of s-wave and p-wave scatterings to the elastic cross section we estimate temperatures below which only s-wave scattering is dominant. We compare our quantal results to data obtained from the semiclassical approximation. We supply evidence for the existence of a near zero energy p-wave bound state supported by the singlet molecular potential.

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Section: Theory a Low Energy Scatteringmentioning

confidence: 99%

Section: Theory a Low Energy Scatteringmentioning

confidence: 99%

Section: Theory a Low Energy Scatteringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

s-wave and p-wave scattering in a cold gas of Na and Rb atoms

Ouerdane

Jamieson

2009

Eur. Phys. J. D

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“…In Table I, we present values for the singlet and triplet scattering lengths for the unshifted (s = 1) and shifted potentials (so that a T agrees with ±17 a 0 ). These values as well as those calculated in [14] are tentative and future measurements are required to specify the potentials more accurately. Such experimental feedback can be obtained from either one of the isotopes so that we list the results for all combinations, regardless of their fermionic or bosonic nature.…”

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confidence: 99%

Sympathetic cooling route to Bose-Einstein condensate and Fermi-liquid mixtures

2005

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We discuss a sympathetic cooling strategy that can successfully mitigate fermion-hole heating in a dilute atomic Fermi-Bose mixture and access the temperature regime in which the fermions behave as a Fermi-liquid. We introduce an energy-based formalism to describe the temperature dynamics with which we study a specific and promising mixture composed of 6 Li and 87 Rb. Analyzing the harmonically trapped mixture, we find that the favourable features of this mixture are further enhanced by using different trapping frequencies for the two species. [5]) have also been identified as the probable cause of the observed non-Fermi-liquid behavior in high T c superconductors [5] and, perhaps, of high T c superconductivity itself. In these systems, however, a clear understanding is again impeded by the ambiguity of experimental data.

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CABG versus DES PCI in diabetics with multivessel disease: Back to the BARI registry

Hillegass¹

2008

Cathet Cardio Intervent

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In the landmark BARI trial, diabetics assigned to CABG had 57.8% (10-year survival) compared to 45.5% with angioplasty. Angioplasty had substantially higher repeat revascularization rates as well [1]. In contrast, meta-analysis of the six CABG versus PCI RCTs with reported diabetic subgroups shows no survival advantage of CABG over PCI at 10 years [2]. With bare metal stenting (BMS), the ARTSI randomized trial versus CABG for multivessel disease is typical. Although there was no significant difference in mortality, CABG outperformed BMS particularly in diabetics because of the increased frequency of subsequent revascularization procedures with stenting [3]. Restenosis, of course, has been the limiting Achille's heel of balloon angioplasty and bare metal stents in diabetics. When feasible at reasonable risk, therefore, CABG has remained the gold standard for diabetics with significant multi-vessel CAD.Should DES change the revascularization landscape for diabetics? The diabetics in TAXUS IV, SIRIUS, DECODE, and DIABETES RCTS had single digit target lesion revascularization rates (7.8%) with DES versus 24.7% with BMS [4]. The nonrandomized comparison of CABG and DES in ARTSII demonstrated equipoise in diabetic patients [5]. The NHLBI dynamic registry confirms continued improvement in outcomes for diabetics with PCI [6].But can DES be advocated for multivessel disease diabetics instead of CABG? Attempting to adjust for baseline differences, retrospective databases of DES versus CABG for multivessel CAD have conflicting results. The Washington Hospital Center reports lower adjusted risk of major adverse cardiac and cerebrovascular events (MACCE) in diabetics with two and three vessel CAD treated with CABG than PCI [7]. In 6,061 diabetics with multivessel CAD undergoing DES or CABG from October 2003 to December 2004 in New York, adjusted mortality rates at 18 months were not significantly different [8]. However, CABG was associated with a lower risk of combined death or myocardial infarction as well as reduced subsequent revascularization rates.At 12-month follow-up, the SYNTAX RCT demonstrates similar rates of mortality and MI among the 227 diabetics randomized to multivessel Taxus stenting versus 204 assigned to CABG, but 20.3% subsequent revascularization procedures with an initial strategy of multivessel DES versus 6.4% with CABG (p < 0.001). While awaiting longer term SYNTAX follow-up and the results of the larger FREEDOM RCT of multivessel DES versus CABG in diabetics, we must recall another important observation from the landmark BARI trial. In the BARI registry of patients where specific factors mitigated against randomization, the outcomes of CABG and angioplasty were similar [9]. In this issue of CCI, Tarantini et al.'s experience in 220 consecutive diabetic patients with multivessel CAD provides a microcosm for the ''right answer.'' The decision to perform PCI versus CABG revascularization of a DM patient with multivessel CAD is a complex calculus. Important factors including diffuseness of distal disease, ...

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Scattering parameters for cold Li–Rb and Na–Rb collisions derived from variable phase theory

Cited by 24 publications

References 27 publications

s-wave and p-wave scattering in a cold gas of Na and Rb atoms

s-wave and p-wave scattering in a cold gas of Na and Rb atoms

Sympathetic cooling route to Bose-Einstein condensate and Fermi-liquid mixtures

CABG versus DES PCI in diabetics with multivessel disease: Back to the BARI registry

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