73 research outputs found

    Braiding Knots in Contact 3-Manifolds

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    We show that a transverse link in a contact structure supported by an open book decomposition can be transversely braided. We also generalize Markov's theorem on when the closures of two braids represent (transversely) isotopic links.Comment: 11 pages, 7 figure

    Photodisintegration of 4^4He into p+t

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    The two-body photodisintegration of 4^4He into a proton and a triton has been studied using the CEBAF Large-Acceptance Spectrometer (CLAS) at Jefferson Laboratory. Real photons produced with the Hall-B bremsstrahlung-tagging system in the energy range from 0.35 to 1.55 GeV were incident on a liquid 4^4He target. This is the first measurement of the photodisintegration of 4^4He above 0.4 GeV. The differential cross sections for the γ\gamma4^4Hept\to pt reaction have been measured as a function of photon-beam energy and proton-scattering angle, and are compared with the latest model calculations by J.-M. Laget. At 0.6-1.2 GeV, our data are in good agreement only with the calculations that include three-body mechanisms, thus confirming their importance. These results reinforce the conclusion of our previous study of the three-body breakup of 3^3He that demonstrated the great importance of three-body mechanisms in the energy region 0.5-0.8 GeV .Comment: 13 pages submitted in one tgz file containing 2 tex file and 22 postscrip figure

    Exclusive ρ0\rho^0 electroproduction on the proton at CLAS

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    The epepρ0e p\to e^\prime p \rho^0 reaction has been measured, using the 5.754 GeV electron beam of Jefferson Lab and the CLAS detector. This represents the largest ever set of data for this reaction in the valence region. Integrated and differential cross sections are presented. The WW, Q2Q^2 and tt dependences of the cross section are compared to theoretical calculations based on tt-channel meson-exchange Regge theory on the one hand and on quark handbag diagrams related to Generalized Parton Distributions (GPDs) on the other hand. The Regge approach can describe at the \approx 30% level most of the features of the present data while the two GPD calculations that are presented in this article which succesfully reproduce the high energy data strongly underestimate the present data. The question is then raised whether this discrepancy originates from an incomplete or inexact way of modelling the GPDs or the associated hard scattering amplitude or whether the GPD formalism is simply inapplicable in this region due to higher-twists contributions, incalculable at present.Comment: 29 pages, 29 figure

    First Measurement of Beam-Recoil Observables Cx and Cz in Hyperon Photoproduction

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    Spin transfer from circularly polarized real photons to recoiling hyperons has been measured for the reactions γ+pK++Λ\vec\gamma + p \to K^+ + \vec\Lambda and γ+pK++Σ0\vec\gamma + p \to K^+ + \vec\Sigma^0. The data were obtained using the CLAS detector at Jefferson Lab for center-of-mass energies WW between 1.6 and 2.53 GeV, and for 0.85<cosθK+c.m.<+0.95-0.85<\cos\theta_{K^+}^{c.m.}< +0.95. For the Λ\Lambda, the polarization transfer coefficient along the photon momentum axis, CzC_z, was found to be near unity for a wide range of energy and kaon production angles. The associated transverse polarization coefficient, CxC_x, is smaller than CzC_z by a roughly constant difference of unity. Most significantly, the {\it total} Λ\Lambda polarization vector, including the induced polarization PP, has magnitude consistent with unity at all measured energies and production angles when the beam is fully polarized. For the Σ0\Sigma^0 this simple phenomenology does not hold. All existing hadrodynamic models are in poor agreement with these results.Comment: 28 pages, 18 figures, Submitted to Physical Review

    Growth of single crystals in the (Na1/2Bi1/2)TiO3-(Sr1-xCax)TiO3 system by solid state crystal growth

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    Ceramics based on (Na1/2B1/2)TiO3 are promising candidates for actuator applications because of large strains generated by an electric field-induced phase transition. For example, the (1-x)(Na1/2Bi1/2)TiO3-xSrTiO(3) system exhibits a morphotropic phase boundary at x = 0.2-0.3, leading to high values of inverse piezoelectric constant d*(33), which can be further improved by the use of single crystals. In our previous work, single crystals of (Na1/2B1/2)TiO3-SrTiO3 and (Na1/2B1/2)TiO3-CaTiO3 were grown by the solid state crystal growth technique. Growth in the (Na1/2B1/2)TiO3-SrTiO3 system was sluggish whereas the (Na1/2B1/2)TiO3-CaTiO3 single crystals grew well. In the present work, 0.8(Na1/2Bi1/2)TiO3-0.2(Sr1-xCax)TiO3 single crystals (with x = 0.0, 0.1, 0.2, 0.3, 0.4) were produced by the solid state crystal growth technique in an attempt to improve crystal growth rate. The dependence of mean matrix grain size, single crystal growth distance, and electrical properties on the Ca concentration was investigated in detail. These investigations indicated that at x = 0.3 the matrix grain growth was suppressed and the driving force for single crystal growth was enhanced. Replacing Sr with Ca increased the shoulder temperature T-s and temperature of maximum relative permittivity T-max, causing a decrease in inverse piezoelectric properties and a change from normal to incipient ferroelectric behavior

    A measurement of the differential cross section for the reaction γnπp\gamma n \to \pi^{-} p from deuterium

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    We report a measurement of the differential cross section for the γnπp\gamma n \to \pi^- p process from the CLAS detector at Jefferson Lab in Hall B for photon energies between 1.0 and 3.5 GeV and pion center-of-mass (c.m.) angles (θc.m.\theta_{c.m.}) between 50^\circ and 115^\circ. We confirm a previous indication of a broad enhancement around a c.m. energy (s\sqrt{s}) of 2.2 GeV at θc.m.=90\theta_{c.m.}=90^\circ in the scaled differential cross section, s7dσdts^7 {\frac{d\sigma}{dt}}. Our data show the angular dependence of this enhancement as the scaling region is approached in the kinematic region from 70^\circ to 105^\circ.Comment: 6 pages, 3 figures. submitted to PR

    First measurement of target and double spin asymmetries for polarized e- polarized p --> e p pi0 in the nucleon resonance region above the Delta(1232)

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    The exclusive channel polarized proton(polarized e,e prime p)pi0 was studied in the first and second nucleon resonance regions in the Q2 range from 0.187 to 0.770 GeV2 at Jefferson Lab using the CEBAF Large Acceptance Spectrometer (CLAS). Longitudinal target and beam-target asymmetries were extracted over a large range of center-of-mass angles of the pi0 and compared to the unitary isobar model MAID, the dynamic model by Sato and Lee, and the dynamic model DMT. A strong sensitivity to individual models was observed, in particular for the target asymmetry and in the higher invariant mass region. This data set, once included in the global fits of the above models, is expected to place strong constraints on the electrocoupling amplitudes A_{1/2} and S_{1/2} for the Roper resonance N(1400)P11, and the N(1535)S11 and N(1520)D13 states.Comment: 13 pages, 13 figure

    Separated Structure Functions for the Exclusive Electroproduction of K+ΛK^+\Lambda and K+Σ0K^+\Sigma^0 Final States

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    We report measurements of the exclusive electroproduction of K+ΛK^+\Lambda and K+Σ0K^+\Sigma^0 final states from a proton target using the CLAS detector at the Thomas Jefferson National Accelerator Facility. The separated structure functions σT\sigma_T, σL\sigma_L, σTT\sigma_{TT}, and σLT\sigma_{LT} were extracted from the Φ\Phi- and ϵ\epsilon-dependent differential cross sections taken with electron beam energies of 2.567, 4.056, and 4.247 GeV. This analysis represents the first σL/σT\sigma_L/\sigma_T separation with the CLAS detector, and the first measurement of the kaon electroproduction structure functions away from parallel kinematics. The data span a broad range of momentum transfers from 0.5Q22.80.5\leq Q^2\leq 2.8 GeV2^2 and invariant energy from 1.6W2.41.6\leq W\leq 2.4 GeV, while spanning nearly the full center-of-mass angular range of the kaon. The separated structure functions reveal clear differences between the production dynamics for the Λ\Lambda and Σ0\Sigma^0 hyperons. These results provide an unprecedented data sample with which to constrain current and future models for the associated production of strangeness, which will allow for a better understanding of the underlying resonant and non-resonant contributions to hyperon production.Comment: 61 pages, 26 figures, 5 table

    CMS physics technical design report : Addendum on high density QCD with heavy ions

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