8,109 research outputs found

    Diffusion-Oscillatory Dynamics in Liquid Water on Data of Dielectric Spectroscopy

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    When analyzing the broadband absorption spectrum of liquid water (10^10 - 10^13 Hz), we find its relaxation-resonance features to be an indication of Frenkel's translation-oscillation motion of particles, which is fundamentally inherent to liquids. We have developed a model of water structure, of which the dynamics is due to diffusion of particles, neutral H2O molecules and H3O+ and OH- ions - with their periodic localizations and mutual transformations. This model establishes for the first time a link between the dc conductivity, the Debye and the high frequency sub-Debye relaxations and the infrared absorption peak at 180 cm-1. The model reveals the characteristic times of the relaxations, 50 ps and 3 ps, as the lifetimes of water molecules and water ions, respectively. The model sheds light on the anomalous mobility of a proton and casts doubt on the long lifetime of a water molecule, 10 hours, commonly associated with autoionization.Comment: 7 pages, 4 figure

    Beyond the `Pentagon Identity'

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    An algebraical background of the Lattice Conformal Field Theory is refined with the help of a novel qq-exponential identity.Comment: 3 pages, LATE

    q-combinatorics and quantum integrability

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    The idea that a Dynkin diagram can provide one of the `spatial' variables for an integrable difference-difference system is no news. I propose a `model' where the only variable is of this sort.Comment: 3 pages, LATE

    Energy Resolved Supercurrent between two superconductors

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    In this paper I study the energy resolved supercurrent of a junction consisting of a dirty normal metal between two superconductors. I also consider a cross geometry with two additional arms connecting the above mentioned junction with two normal reservoirs at equal and opposite voltages. The dependence of the supercurrent between the two superconductors on the applied voltages is studied.Comment: revtex, 7 pages, 8 figures. accepted by Phys. Rev.

    Pion Polarizability in the NJL model and Possibilities of its Experimental Studies in Coulomb Nuclear Scattering

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    The charge pion polarizability is calculated in the Nambu-Jona-Lasinio model, where the quark loops (in the mean field approximation) and the meson loops (in the 1/Nc1/N_c approximation) are taken into account. We show that quark loop contribution dominates, because the meson loops strongly conceal each other. The sigma-pole contribution (mσ2t)1(m^2_\sigma-t)^{-1} plays the main role and contains strong t-dependence of the effective pion polarizability at the region t4Mπ2|t|\geq 4M_\pi^2. Possibilities of experimental test of this sigma-pole effect in the reaction of Coulomb Nuclear Scattering are estimated for the COMPASS experiment.Comment: 11 pages, 8 figure

    Effective Dresselhaus and Rashba spin-orbit interactions in narrow quantum wells

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    Rashba and linear Dresselhaus interactions are believed to yield dominant contribution to the spin splitting of two-dimensional electrons in the quantum wells based on A3_3B5_5 compounds. We show that the interfacial spin-orbit interaction significantly renormalizes the value of the corresponding Rashba (αSIA\alpha_{SIA}) and Dresselhaus (αBIA\alpha_{BIA}) parameters. For this purpose, we solve the effective mass equation in a quantum well supplemented by the original boundary conditions on the atomically sharp interfaces and calculate the interfacial contributions to αSIA\alpha_{SIA} and αBIA\alpha_{BIA}. Our results explain a considerable spread in the experimental data on spin-orbit parameters in GaAs/AlGaAs quantum wells. We also demonstrated that the non-equivalence of the interfaces leads to the anisotropy of the spin splitting even in quantum wells with zero average electric field

    The decay τK0Kντ\tau \rightarrow K^{0}K^{-}\nu_{\tau} in the extended Nambu-Jona-Lasinio model

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    The full and differential widths of the decay τK0Kντ\tau \rightarrow K^{0}K^{-}\nu_{\tau} are calculated in the framework of the extended Nambu-Jona-Lasinio model. The contributions of the subprocesses with the intermediate vector mesons ρ\rho(770) and ρ\rho(1450) are taken into account. The obtained results are in satisfactory agreement with the experimental data.Comment: 6 pages, 3 figure

    The decays τ(η,η)Kντ\tau \rightarrow (\eta,\eta') K^{-} \nu_{\tau} in the extended Nambu-Jona-Lasinio model

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    The decays τ(η,η)Kντ\tau \rightarrow (\eta,\eta') K^{-} \nu_{\tau} are described in the framework of the extended Nambu-Jona-Lasinio model. Both full and differential widths of these decays are calculated. The vector and scalar channels are considered. In the vector channels, the subprocesses with intermediate K(892)K^{*}(892) and K(1410)K^{*}(1410) mesons play the main role. In the scalar channels, the subprocesses with intermediate K0(800)K_{0}^{*}(800) and K0(1430)K_{0}^{*}(1430) mesons are taken into account. Scalar channels play a less important role in calculation of the full width of the decay τ(η,η)Kντ\tau \rightarrow (\eta,\eta') K^{-} \nu_{\tau}. The obtained results are in satisfactory agreement with the experimental data.Comment: 8 pages, 4 figure

    The decay τKπ0ντ\tau \rightarrow K^{-}\pi^{0}\nu_{\tau} in the Nambu-Jona-Lasinio model

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    In this paper, the width of the decay τKπ0ντ\tau \rightarrow K^{-}\pi^{0}\nu_{\tau} is calculated in the framework of the Nambu-Jona-Lasinio model. The contributions of the intermediate vector K(892)K^{*}(892) and scalar K0(800)K_{0}^{*}(800) mesons are taken into account. It is shown that the main contribution to the width of this decay is given by the subprocesses with the intermediate WW-boson and vector K(892)K^{*}(892) meson. The scalar channel with the intermediate K0(800)K_{0}^{*}(800) meson gives an insignificant contribution. In Appendix, it is shown that the contribution of the subprocess with the intermediate K(1410){K^{*}}'(1410) meson is negligible as well. The obtained results are in satisfactory agreement with the experimental data.Comment: 7 pages, 3 figure

    The production of the f1(1285)γf_1(1285) \gamma and a1(1260)γa_1(1260) \gamma in colliding e+ee^{+}e^{-}-beams in threshold domain

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    The processes e+e ⁣ ⁣(f1(1285),a1(1260))γe^{+}e^{-}\!\to\! (f_1(1285), a_1(1260))\gamma in threshold domain are considered in the framework of the extended Nambu--Jona-Lasinio model. The channels with the ground ρ(770)\rho(770), ω(782)\omega(782) and radially excited ρ(1450)\rho(1450), ω(1420)\omega(1420) intermediate meson states are taken into account. It is shown that in the process e+ef1(1285)γe^{+}e^{-}\to f_1(1285)\gamma, the probability of the subprocesses with ρ\rho-mesons significantly exceeds the probability of the subprocesses with ω\omega-mesons, whereas, in the process e+ea1(1260)γe^{+}e^{-} \to a_1(1260) \gamma, ρ\rho- and ω\omega-channels give approximately equal contributions. The mechanism of this effect is discussed. The radiative decay widths of ρ(1450) ⁣ ⁣f1(1285)γ\rho(1450)\!\to\! f_{1}(1285)\gamma, ω(1420) ⁣ ⁣f1(1285)γ\omega(1420)\!\to\! f_{1}(1285)\gamma, ρ(1450) ⁣ ⁣a1(1260)γ\rho(1450)\!\to\! a_1(1260)\gamma and ω(1420) ⁣ ⁣a1(1260)γ\omega(1420)\!\to\! a_1(1260)\gamma are calculated.Comment: Accepted for publication in IJMP
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