124,596 research outputs found

    Generalization of the Calogero-Cohn Bound on the Number of Bound States

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    It is shown that for the Calogero-Cohn type upper bounds on the number of bound states of a negative spherically symmetric potential V(r)V(r), in each angular momentum state, that is, bounds containing only the integral āˆ«0āˆžāˆ£V(r)āˆ£1/2dr\int^\infty_0 |V(r)|^{1/2}dr, the condition Vā€²(r)ā‰„0V'(r) \geq 0 is not necessary, and can be replaced by the less stringent condition (d/dr)[r1āˆ’2p(āˆ’V)1āˆ’p]ā‰¤0,1/2ā‰¤p<1(d/dr)[r^{1-2p}(-V)^{1-p}] \leq 0, 1/2 \leq p < 1, which allows oscillations in the potential. The constants in the bounds are accordingly modified, depend on pp and ā„“\ell, and tend to the standard value for p=1/2p = 1/2.Comment: 1 page. Correctly formatted version (replaces previous version

    Helical Magnetic Fields from Inflation

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    We analyze the generation of seed magnetic fields during de Sitter inflation considering a non-invariant conformal term in the electromagnetic Lagrangian of the form āˆ’14I(Ļ•)FĪ¼Ī½F~Ī¼Ī½-\frac14 I(\phi) F_{\mu \nu} \widetilde{F}^{\mu \nu}, where I(Ļ•)I(\phi) is a pseudoscalar function of a non-trivial background field Ļ•\phi. In particular, we consider a toy model, that could be realized owing to the coupling between the photon and either a (tachyonic) massive pseudoscalar field and a massless pseudoscalar field non-minimally coupled to gravity, where II follows a simple power-law behavior I(k,Ī·)=g/(āˆ’kĪ·)Ī²I(k,\eta) = g/(-k\eta)^{\beta} during inflation, while it is negligibly small subsequently. Here, gg is a positive dimensionless constant, kk the wavenumber, Ī·\eta the conformal time, and Ī²\beta a real positive number. We find that only when Ī²=1\beta = 1 and 0.1ā‰²gā‰²20.1 \lesssim g \lesssim 2 astrophysically interesting fields can be produced as excitation of the vacuum, and that they are maximally helical.Comment: 17 pages, 1 figure, subsection IIc and references added; accepted for publication in IJMP

    STATE-LEVEL ANALYSIS OF NATIONAL BEEF POLICY: THE USE OF STATE ECONOMETRIC MODELS

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    Interest has grown in analyzing the impact of national imports of foreign beef on state agricultural sectors. In this study, an interfaced Hawaiian-national model is simulated for a change in national beef imports. Hawaiian and national impacts demonstrate wide variation in both sign and magnitude. Usefulness of state models is emphasized for situations where state impacts of national policies are of interest.Agricultural and Food Policy,

    Exploitation of ERTS-1 imagery utilizing snow enhancement techniques

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    Photogeological analysis of ERTS-simulation and ERTS-1 imagery of snowcovered terrain within the ERAP Feather River site and within the New England (ERTS) test area provided new fracture detail which does not appear on available geological maps. Comparative analysis of snowfree ERTS-1 images has demonstrated that MSS Bands 5 and 7 supply the greatest amount of geological fracture detail. Interpretation of the first snow-covered ERTS-1 images in correlation with ground snow depth data indicates that a heavy blanket of snow (more than 9 inches) accentuates major structural features while a light "dusting", (less than 1 inch) accentuates more subtle topographic expressions. An effective mail-based method for acquiring timely ground-truth (snowdepth) information was established and provides a ready correlation of fracture detail with snow depth so as to establish the working limits of the technique. The method is both efficient and inexpensive compared with the cost of similarly scaled direct field observations

    Targeted deep surveys of high Galactic latitude HI with the GBT

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    Over 800 sq. deg. of high Galactic latitude sky have been mapped at 21 cm with the Robert C. Byrd Green Bank Telescope (GBT). An improved knowledge of the telescope's beam characteristics has allowed us to reliably map not only regions of high column density, but also such regions as ELAIS N1, a targeted Spitzer field, which have very low HI column density. The additional fields we have observed cover a cross-section of dynamically and chemically interesting regions as indicated by the presence of intermediate/high velocity gas and/or anomalous far-IR (dust) colour.Comment: 7 pages, 5 figures. To appear in "The Dynamic ISM: A celebration of the Canadian Galactic Plane Survey" ASP Conference Serie

    Barefoot running improves economy at high intensities and peak treadmill velocity

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    Aim: Barefoot running can improve running economy (RE) compared to shod running at low exercise intensities, but data is lacking for the higher intensities typical during many distance running competitions. The influence of barefoot running on the velocity at maximal oxygen uptake (vVO2max) and peak incremental treadmill test velocity (vmax) is unknown. The present study tested the hypotheses that barefoot running would improve RE, vVO2max and vmax relative to shod running. Methods: Using a balanced within-subject repeated measures design, eight male runners (aged 23.1Ā±4.5 years, height 1.80Ā±0.06 m, mass 73.8Ā±11.5 kg, VO2max 4.08Ā±0.39 LĀ·min-1) completed a familiarization followed by one barefoot and one shod treadmill running trial, 2-14 days apart. Trial sessions consisted of a 5 minute warm-up, 5 minute rest, followed by 4Ɨ4 minute stages, at speeds corresponding to ~67, 75, 84 and 91% shod VO2max respectively, separated by a 1 minute rest. After the 4th stage treadmill speed was incremented by 0.1 kmĀ·h-1 every 15 s until participants reached volitional exhaustion. Results: RE was improved by 4.4Ā±7.0% across intensities in the barefoot condition (P=0.040). The improvement in RE was related to removed shoe mass (r2=0.80, P=0.003) with an intercept at 0% improvement for RE at 0.520 kg total shoe mass. Both vVO2max (by 4.5Ā±5.0%, P=0.048) and vmax (by 3.9Ā±4.0%, P=0.030) also improved but VO2max was unchanged (p=0.747). Conclusion: Barefoot running improves RE at high exercise intensities and increases vVO2max and vmax, but further research is required to clarify the influence of very light shoe weights on RE
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