907 research outputs found
Sigma pole position and errors of a once and twice subtracted dispersive analysis of pi-pi scattering data
We show how the new precise data on kaon decays together with forward
dispersion relations, sum rules and once- and twice-subtracted
Roy's equations allow for a precise determination of the sigma meson pole
position. We present a comparison and a study of the different sources of
uncertainties when using either once- or twice-subtracted Roy's equations to
analyze the data. Finally we present a preliminary determination of the sigma
pole from the constrained dispersive data analysis.Comment: 4 pages, 6 figures. Contribution to the proceedings of the QCD08 14th
International QCD Conference. 7-12th July 2008 Montpellier (France); one
reference removed, changed errors in Eqs (4), (5) and (7
Fast and slow light in zig-zag microring resonator chains
We analyze fast and slow light transmission in a zig-zag microring resonator
chain. This novel device permits the operation in both regimes. In the
superluminal case, a new ubiquitous light transmission effect is found whereby
the input optical pulse is reproduced in an almost simultaneous manner at the
various system outputs. When the input carrier is tuned to a different
frequency, the system permits to slow down the propagating optical signal.
Between these two extreme cases, the relative delay can be tuned within a broad
range
Regge trajectory of the f_0(500) resonance from a dispersive connection to its pole
We report here our results on how to obtain the Regge trajectory of a
resonance from its pole in a scattering process by imposing analytic
constraints in the complex angular momentum plane. The method, suited for
resonances that dominate an elastic scattering amplitude, has been applied to
the {\rho}(770) and the f_0(500) resonances. Whereas for the former we obtain a
linear Regge trajectory, characteristic of ordinary quark-antiquark states, for
the latter we find a non-linear trajectory with a much smaller slope at the
resonance mass. This provides a strong indication of the non-ordinary nature of
the sigma meson.Comment: 4 pages, 2 figures, to appear in the proceedings of the "Seventh
International Symposium on Chiral Symmetry in Hadrons and Nuclei
New dispersion relations in the description of scattering amplitudes
We present a set of once subtracted dispersion relations which implement
crossing symmetry conditions for the scattering amplitudes below 1
GeV. We compare and discuss the results obtained for the once and twice
subtracted dispersion relations, known as Roy's equations, for three
partial JI waves, S0, P and S2. We also show that once subtracted dispersion
relations provide a stringent test of crossing and analyticity for
partial wave amplitudes, remarkably precise in the 400 to 1.1 GeV region, where
the resulting uncertainties are significantly smaller than those coming from
standard Roy's equations, given the same input.Comment: 8 pages, 2 figures, to appear in the Proceedings of the Meson 2008
conference, June 6-10, 2008, Cracow, Polan
Some Remarks on the Pade Unitarization of Low-Energy Amplitudes
We present a critical analysis of Pade-based methods for the unitarization of
low energy amplitudes. We show that the use of certain Pade Approximants to
describe the resonance region may lead to inaccurate determinations. In
particular, we find that in the Linear Sigma Model the unitarization of the low
energy amplitude through the inverse amplitude method produces essentially
incorrect results for the mass and width of the sigma. Alternative sequences of
Pades are studied and we find that the diagonal sequences (i.e., [N/N]) have
much better convergence properties.Comment: 12 pages, 4 fig
Development of the Neuron Assessment for Measuring Biology Students’ Use of Experimental Design Concepts and Representations
Researchers, instructors, and funding bodies in biology education are unanimous about the importance of developing students’ competence in experimental design. Despite this, only limited measures are available for assessing such competence development, especially in the areas of molecular and cellular biology. Also, existing assessments do not measure how well students use standard symbolism to visualize biological experiments. We propose an assessment-design process that 1) provides background knowledge and questions for developers of new “experimentation assessments,” 2) elicits practices of representing experiments with conventional symbol systems, 3) determines how well the assessment reveals expert knowledge, and 4) determines how well the instrument exposes student knowledge and difficulties. To illustrate this process, we developed the Neuron Assessment and coded responses from a scientist and four undergraduate students using the Rubric for Experimental Design and the Concept-Reasoning Mode of representation (CRM) model. Some students demonstrated sound knowledge of concepts and representations. Other students demonstrated difficulty with depicting treatment and control group data or variability in experimental outcomes. Our process, which incorporates an authentic research situation that discriminates levels of visualization and experimentation abilities, shows potential for informing assessment design in other disciplines
Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method
Chemical reaction networks (CRNs) are susceptible to mathematical modelling. The dynamic behavior of CRNs can be
investigated by solving the polynomial equations derived from its structure. However, simple CRN give rise to non-linear
polynomials that are difficult to resolve. Here we propose a procedure to locate the steady states of CRNs from a formula
derived through algebraic geometry methods. We have applied this procedure to define the steady states of a classic CRN
that exhibits instability, and to a model of programmed cell death
Security improvement of two dynamic ID-based authentication schemes by Sood-Sarje-Singh
In 2010, Sood-Sarje-Singh proposed two dynamic ID-based remote user authentication schemes. The first scheme
is a security improvement of Liao et al.’s scheme and the second scheme is a security improvement of Wang et
al.’s scheme. In both cases, the authors claimed that their schemes can resist many attacks. However, we find that
both schemes have security flaws. In addition, their schemes require a verification table and time-synchronization,
making the schemes unfeasible and unsecured for electronic services. In order to remedy the security flaws of
Sood et al.’s schemes, we propose a robust scheme which resists the well-known attacks and achieves all the
desirable security goals.Peer ReviewedPostprint (published version
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