41 research outputs found

    Thermodynamic formalism for contracting Lorenz flows

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    We study the expansion properties of the contracting Lorenz flow introduced by Rovella via thermodynamic formalism. Specifically, we prove the existence of an equilibrium state for the natural potential ϕ^t(x,y,z):=−tlog⁥J(x,y,z)cu\hat\phi_t(x,y, z):=-t\log J_{(x, y, z)}^{cu} for the contracting Lorenz flow and for tt in an interval containing [0,1][0,1]. We also analyse the Lyapunov spectrum of the flow in terms of the pressure

    Pionic decay of a possible d' dibaryon and the short-range NN interaction

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    We study the pionic decay of a possible dibaryon dâ€Č→N+N+π in the microscopic quark shell model. The initial dâ€Č dibaryon wave function (JP=0-, T=0) consists of one 1ħω six-quark shell-model s5p[51]X configuration. The most important final six-quark configurations s6[6]X, s4p2[42]X, and (s4p2-s52s)[6]X are properly projected onto the NN channel. The final state NN interaction is investigated by means of two phase-equivalent—but off-shell different—potential models. We demonstrate that the decay width Γdâ€Č depends strongly on the short-range behavior of the NN wave function. In addition, the width Γdâ€Č is very sensitive to the mass and size of the dâ€Č dibaryon. For dibaryon masses slightly above the experimentally suggested value Mdâ€Č=2.065GeV, we obtain a pionic decay width of Γdâ€Č≈0.18–0.32MeV close to the experimental value Γdâ€Č≈0.5MeV.Obukhovsky, I. Itonaga, K. ; Wagner, Georg ; Buchmann, A. ; Faessler, Aman

    High-density compression experiments at ILE, Osaka

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    Direct-drive implosion experiments on the GEKKO XII laser (9 kJ, 0.5 Όm, 2 ns) with deuterium and tritium (DT) exchanged plastic hollow shell targets demonstrated fuel areal densities (ρR) of approximately 0.1 g/cm2 and fuel densities of approximately 600 times liquid density at fuel temperatures of approximately 0.3 keV. (The density and ρR values refer only to DT and do not include carbons in the plastic targets.) These values are to be compared with thermonuclear ignition conditions, i.e., fuel densities of 500-1000 times liquid density, fuel areal densities greater than 0.3 g/cm2, and fuel temperatures greater than 5 keV. The irradiation nonuniformity in these experiments was significantly reduced to a level of <5% in root mean square by introducing random-phase plates. The target irregularity was controlled to a 1% level. The fuel ρR was directly measured with the neutron activation of Si, which was originally compounded in the plastic targets. The fuel densities were estimated from the ρR values using the mass conservation relation, where the ablated mass was separately measured using the time-dependent X-ray emission from multilayer targets. Although the observed densities were in agreement with one-dimensional calculation results with convergence ratios of 25-30, the observed neutron yields were significantly lower than those of the calculations. This suggests the implosion uniformity is not sufficient to create a hot spark in which most neutrons should be generated
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