75,041 research outputs found

    Pomeron pole plus grey disk model: real parts, inelastic cross sections and LHC data

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    I propose a two component analytic formula F(s,t)=F(1)(s,t)+F(2)(s,t)F(s,t)=F^{(1)}(s,t)+F^{(2)}(s,t) for (abab)+(abˉabˉ)(ab\rightarrow ab) +(a\bar{b}\rightarrow a\bar{b}) scattering at energies 100GeV\ge 100 GeV ,where s,ts,t denote squares of c.m. energy and momentum transfer.It saturates the Froissart-Martin bound and obeys Auberson-Kinoshita-Martin (AKM) \cite{AKM1971} scaling. I choose ImF(1)(s,0)+ImF(2)(s,0)Im F^{(1)}(s,0)+Im F^{(2)}(s,0) as given by Particle Data Group (PDG) fits to total cross sections. The PDG formula is extended to non-zero momentum transfers using partial waves of ImF(1)Im F^{(1)} and ImF(2)Im F^{(2)} motivated by Pomeron pole and 'grey disk' amplitudes . ReF(s,t)Re F(s,t) is deduced from real analyticity: I prove that ReF(s,t)/ImF(s,0)(π/lns)d/dτ(τImF(s,t)/ImF(s,0))Re F(s,t)/ImF(s,0) \rightarrow (\pi/\ln{s}) d/d\tau (\tau Im F(s,t)/ImF(s,0) ) for ss\rightarrow \infty with τ=t(lns)2\tau=t (ln s)^2 fixed, and apply it to F(2)F^{(2)}.Using also the forward slope fit by Schegelsky-Ryskin , the model gives real parts,differential cross sections for (t)<.3GeV2(-t)<.3 GeV^2, and inelastic cross sections in good agreement with data at 546GeV,1.8TeV,7TeV546 GeV, 1.8 TeV,7 TeV and 8TeV 8 TeV . It predicts for inelastic cross sections for pppp or pˉp\bar{p} p, σinel=72.7±1.0mb\sigma_{inel}=72.7\pm 1.0 mb at 7TeV7TeV and 74.2±1.0mb74.2 \pm 1.0mb at 8TeV8 TeV in agreement with pppp Totem experimental values 73.1±1.3mb73.1\pm 1.3 mb and 74.7±1.7mb74.7\pm 1.7 mb respectively, and with Atlas values 71.3±0.9mb71.3\pm 0.9 mb and 71.7±0.7mb71.7\pm 0.7mb respectively. The predictions at 546GeV546 GeV and 1800GeV1800 GeV also agree with pˉp\bar{p} p experimental results of Abe et al \cite{Abe} at 546GeV546 GeV and 1800GeV1800 GeV. The model yields for s>0.5TeV\sqrt{s}> 0.5 TeV, with PDG2013 total cross sections , and Schegelsky-Ryskin slopes as input, σinel(s)=22.6+.034lns+.158(lns)2mb,andσinel/σtot0.56,s,\sigma_{inel} (s) =22.6 + .034 ln s + .158 (ln s)^2 mb , and \sigma_{inel} / \sigma_{tot} \rightarrow 0.56, s\rightarrow \infty , where ss is in GeV2GeV^2Comment: 6 pages, 5 figures, 2 table

    An Assessment of the ICC Statute

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    The large number of signature States together with the current speed of ratification from various regions of the world seems to indicate the general acceptance of the treaty; many of the problems first identified have since been clarified and resolved. It seems reasonable to expect the Rome Statute to come into operation as early as next summer. While it is necessary to ensure effective criminal investigation and prosecution to counter serious human rights violations, we need also to develop additional ways and means for addressing the root causes that led to violations and impunity. Justice is important but justice alone cannot bring peace. We need both justice and peace. Criminal prosecution through courts and tribunals will not and cannot suit all situations, bring justice to all, or, still less, end all conflicts. Accountability and criminal responsibility are important and necessary. But the tribunals cannot deal adequately when massive cases are involved. Massive trials require large resources and are time-consuming, particularly when there are large numbers of defendants. In recent years, various measures of accountability have been employed for managing situations involving past serious violations of human rights. These measures include acknowledging and publicizing responsibility through truth commissions, dismissing or suspending officials connected with the abuses of the previous regimes, seizure of property and assets of the perpetrators, blocking financial sources of rogue organizations, and compensation for victims and their families. All these are intended to demonstrate that a sense of sanctions has been applied to misdeeds, though such sanctions may not be sufficient in all cases. The parties concerned must work out by themselves the best solution to suit their need

    Interventions for fall prevention in community-dwelling older persons

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    Falls in individuals over the age of 65 is a pervasive problem resulting in significant health and economic burden in our country. Thus, effective fall prevention strategies are an important public health measure, especially in an age group that is growing rapidly. Research has shown a multifactorial approach to fall prevention addressing environmental hazards, strength and balance, medications, and medical comorbidities to be most effective. Despite there being strong evidence to support this, many individuals are unaware of the factors that put them at risk and ways to mitigate them. An educational pamphlet containing evidence-based strategies to reduce fall risk was produced for distribution within the New Milford primary care clinic in New Milford, CT.https://scholarworks.uvm.edu/fmclerk/1511/thumbnail.jp

    Contextual Deterministic Quantum Mechanics

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    We present a simple proof of quantum contextuality for a spinless particle with a one dimensional configuration space. We then discuss how the maximally realistic deterministic quantum mechanics recently constructed by this author and V. Singh can be applied to different contexts.Comment: 7 pages,latex,no fig

    Integrating 'atomistic', intrinsic parameter fluctuations into compact model circuit analysis

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    MOSFET parameter fluctuations, resulting from the 'atomistic' granular nature of matter, are predicted to be a critical roadblock to the scaling of devices in future electronic systems. A methodology is presented which allows compact model based circuit analysis tools to exploit the results of 'atomistic' device simulation, allowing investigation of the effects of such fluctuations on circuits and systems. The methodology is applied to a CMOS inverter, ring oscillator, and analogue NMOS current mirror as simple initial examples of its efficacy
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