8,680 research outputs found

    Maximum Distance Separable Codes and Arcs in Projective Spaces

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    Given any linear code CC over a finite field GF(q)GF(q) we show how CC can be described in a transparent and geometrical way by using the associated Bruen-Silverman code. Then, specializing to the case of MDS codes we use our new approach to offer improvements to the main results currently available concerning MDS extensions of linear MDS codes. We also sharply limit the possibilities for constructing long non-linear MDS codes.Comment: 18 Pages; co-author added; some results updated; references adde

    Inequalities for electron-field correlation functions

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    I show that there exists a class of inequalities between correlation functions of different orders of a chaotic electron field. These inequalities lead to the antibunching effect and are a consequence of the fact that electrons are fermions -- indistinguishable particles with antisymmetric states. The derivation of the inequalities is based on the known form of the correlation functions for the chaotic state and on the properties of matrices and determinants.Comment: 8 pages Latex2e, 2 eps figure

    A new proton fluence model for E greater than 10 MeV

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    Researchers describe a new engineering model for the fluence of protons with energies greater than 10 MeV. The data set used is a combination of observations made primarily from the Earth's surface between 1956 and 1963 and observations made from spacecraft in the vicinity of Earth between 1963 and 1985. With this data set we find that the distinction between ordinary proton events and anomalously large proton events made in earlier work disappears. The greater than 10 MeV fluences at 1 AU calculated with the new model are about twice those expected on the basis of models now in use. In contrast to earlier models, results do not depend critically on the fluence from any one event

    Chiral molecules split light: Reflection and refraction in a chiral liquid

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    A light beam changes direction as it enters a liquid at an angle from another medium, such as air. Should the liquid contain molecules that lack mirror symmetry, then it has been predicted by Fresnel that the light beam will not only change direction, but will actually split into two separate beams with a small difference in the respective angles of refraction. Here we report the observation of this phenomenon. We also demonstrate that the angle of reflection does not equal the angle of incidence in a chiral medium. Unlike conventional optical rotation, which depends on the path-length through the sample, the reported reflection and refraction phenomena arise within a few wavelengths at the interface and thereby suggest a new approach to polarimetry that can be used in microfluidic volumes

    Iso-singlet Down Quark Mixing And CP Violation Experiments

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    We confront the new physics models with extra iso-singlet down quarks in the new CP violation experimental era with sin(2β)\sin{(2\beta)} and ϵ/ϵ\epsilon'/\epsilon measurements, K+π+ννˉK^+ \to \pi^+ \nu \bar{\nu} events, and xsx_s limits. The closeness of the new experimental results to the standard model theory requires us to include full SM amplitudes in the analysis. In models allowing mixing to a new isosinglet down quark, as in E6_6, flavor changing neutral currents are induced that allow a Z0Z^0 mediated contribution to BBˉB-\bar B mixing and which bring in new phases. In (ρ,η)(\rho,\eta), (xs,sin(γ))(x_s,\sin{(\gamma)}), and (xs,sin(2ϕs))(x_s, \sin{(2\phi_s)}) plots we still find much larger regions in the four down quark model than in the SM, reaching down to η0\eta \approx 0, 0sin(γ)10 \leq \sin{(\gamma)} \leq 1, .75sin(2α)0.15-.75 \leq \sin{(2\alpha)} \leq 0.15, and sin(2ϕs)\sin{(2\phi_s)} down to zero, all at 1σ\sigma. We elucidate the nature of the cancellation in an order λ5\lambda^5 four down quark mixing matrix element which satisfies the experiments and reduces the number of independent angles and phases. We also evaluate tests of unitarity for the 3×33\times3 CKM submatrix.Comment: 14 pages, 16 figures, REVTeX

    The Full Range of Predictions for B Physics From Iso-singlet Down Quark Mixing

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    We extend the range of predictions of the isosinglet (or vector) down quark model to the fully allowed physical ranges, and also update this with the effect of new physics constraints. We constrain the present allowed ranges of sin(2*beta) and sin(2*alpha), gamma, x_s, and A_{B_s}. In models allowing mixing to a new isosinglet down quark (as in E_6) flavor changing neutral currents are induced that allow a Z^0 mediated contribution to B-Bbar mixing and which bring in new phases. In (rho, eta), (x_s, sin(gamma)), and (x_s, A_{B_s}) plots for the extra isosinglet down quark model which are herein extended to the full physical range, we find new allowed regions that will require experiments on sin(gamma) and/or x_s to verify or to rule out an extra down quark contribution.Comment: 13 pages in RevTeX, 7 postscript figure
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