8,675 research outputs found

    Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit: Covariant Quark Model Approach

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    We prove the full covariance of the heavy-to-light weak current matrix elements based on the Bakamjian-Thomas construction of relativistic quark models, in the heavy mass limit for the parent hadron and the large energy limit for the daughter one. Moreover, this quark model representation of the heavy-to-light form factors fulfills the general relations that were recently argued to hold in the corresponding limit of QCD, namely that there are only three independent form factors describing the B -> pi (rho) matrix elements, as well as the factorized scaling law sqrt(M)z(E) of the form factors with respect to the heavy mass M and large energy E. These results constitute another good property of the quark models \`a la Bakamjian-Thomas, which were previously shown to exhibit covariance and Isgur-Wise scaling in the heavy-to-heavy case.Comment: 11 pages, LaTex2e, no figur

    La Vie et les métamorphoses du Charaxes Jasius Linné

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    Stably non-synchronizable maps of the plane

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    Pecora and Carroll presented a notion of synchronization where an (n-1)-dimensional nonautonomous system is constructed from a given nn-dimensional dynamical system by imposing the evolution of one coordinate. They noticed that the resulting dynamics may be contracting even if the original dynamics are not. It is easy to construct flows or maps such that no coordinate has synchronizing properties, but this cannot be done in an open set of linear maps or flows in Rn\R^n, n≥2n\geq 2. In this paper we give examples of real analytic homeomorphisms of R2\R^2 such that the non-synchronizability is stable in the sense that in a full C0C^0 neighborhood of the given map, no homeomorphism is synchronizable

    Quantitative analysis of the dripping and jetting regimes in co-flowing capillary jets

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    We study a liquid jet that breaks up into drops in an external co-flowing liquid inside a confining microfluidic geometry. The jet breakup can occur right after the nozzle in a phenomenon named dripping or through the generation of a liquid jet that breaks up a long distance from the nozzle, which is called jetting. Traditionally, these two regimes have been considered to reflect the existence of two kinds of spatiotemporal instabilities of a fluid jet, the dripping regime corresponding to an absolutely unstable jet and the jetting regime to a convectively unstable jet. Here, we present quantitative measurements of the dripping and jetting regimes, both in an unforced and a forced state, and compare these measurements with recent theoretical studies of spatiotemporal instability of a confined liquid jet in a co-flowing liquid. In the unforced state, the frequency of oscillation and breakup of the liquid jet is measured and compared to the theoretical predictions. The dominant frequency of the jet oscillations as a function of the inner flow rate agrees qualitatively with the theoretical predictions in the jetting regime but not in the dripping regime. In the forced state, achieved with periodic laser heating, the dripping regime is found to be insensitive to the perturbation and the frequency of drop formation remains unaltered. The jetting regime, on the contrary, amplifies the externally imposed frequency, which translates in the formation of drops at the frequency imposed by the external forcing. In conclusion, the dripping and jetting regimes are found to exhibit the main features of absolutely and convectively unstable flows respectively, but the frequency selection in the dripping regime is not ruled by the absolute frequency predicted by the stability analysis.Comment: 10 pages, 12 figures, to appear in Physics of Fluid

    Household Energy Utilization by the Elderly

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    A paper presented by Robert A. Bylund, Nelson L. LeRay and Charles O. Crawford to the United States Special Senate Committee on Aging on November 26, 1979

    B0(t) -> DPP time-dependent Dalitz plots, CP-violating angles 2beta, 2beta+gamma, and discrete ambiguities

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    We study CP-violation in resonant three-body B -> DPP decays, where PP stands for either Dpi, DK_S, pipi or piK_S. Analogously to the B -> 3pi channel and the extraction of 2alpha, the first three channels are shown to measure cos(2beta) in addition to sin(2beta), thus allowing to resolve the beta -> pi/2 -beta ambiguity, while the DpiK_S final state leads to a measurement of 2beta+gamma. The B0(t) -> D+D-pi0 channel via the interference between D** orbitally excited resonances is taken as an example, although this Cabibbo-suppressed decay suffers from irreducible penguin uncertainties. Then two penguin-free and Cabibbo-dominant modes are proposed: B0(t) -> D+D-K_S with the D_s** resonances, and B0(t) -> D0_CP pi+pi- with the D** plus the rho. Finally, the B0(t) -> D+-pi-+K_S channel with the D_s** and K* resonances provides a new clean method to measure the unusual angle 2beta+gamma. We present in all cases a crude estimate of the number of cos(2beta) (respectively 2beta+gamma) sensitive events. We show that this number is an increasing function of the resonance mass, a favorable situation compared to the more extensively studied three-pion Dalitz plot. However, the poor detection efficiency of the D mesons could pose a problem. As an annex and speculative application of these Dalitz plot based methods, the penguin-dominated B0(t) -> K_SK_SK_L decay also measures 2beta.Comment: 17 pages, 4 figures, Latex2e, graphicx. To appear in Phys. Lett. B. This version includes an erratum sent to PLB: the wrong remark about untagged events has been removed. Minor misprints in Eqs. (5), (9) and (24) correcte

    Si and Mn Abundances in Damped Lya Systems with Low Dust Content

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    We have measured the abundances of Zn, Si, Mn, Cr, Fe, and Ni in three damped Lyman alpha systems at redshifts z < 1 from high resolution echelle spectra of QSOs recorded with the Keck I telescope. In all three cases the abundances of Cr, Fe, and Ni relative to Zn indicate low levels of dust depletions. We propose that when the proportion of refractory elements locked up in dust grains is less than about 50 percent, it is plausible to assume an approximately uniform level of depletion for all grain constituents and, by applying a small dust correction, recover the intrisic abundances of Si and Mn. We use this approach on a small sample of damped systems for which it is appropriate, with the aim of comparing the metallicity dependence of the ratios [Si/Fe] and [Mn/Fe] with analogous measurements in Milky Way stars. The main conclusion is that the relative abundances of both elements in distant galaxies are broadly in line with expectations based on Galactic data. Si displays a mild enhancement at low metallicities, as expected for an alpha-capture element, but there are also examples of near-solar [Si/Fe] at [Fe/H] < -1. The underabundance of Mn at low metallicities is possibly even more pronounced than that in metal-poor stars, and no absorption system has yet been found where [Mn/Fe] is solar. The heterogeneous chemical properties of damped Lyman alpha systems, evident even from this limited set of measurements, provide further support for the conclusion from imaging studies that a varied population of galaxies gives rise to this class of QSO absorbers.Comment: 29 pages, LaTex, 7 Postscript Figures. Accepted for Publication in the Astrophysical Journa
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