8,109 research outputs found

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

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'

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

### q-combinatorics and quantum integrability

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

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

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 $1/N_c$ approximation) are taken into account. We show that quark loop
contribution dominates, because the meson loops strongly conceal each other.
The sigma-pole contribution $(m^2_\sigma-t)^{-1}$ plays the main role and
contains strong t-dependence of the effective pion polarizability at the region
$|t|\geq 4M_\pi^2$. 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

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 A$_3$B$_5$ compounds. We show that the interfacial spin-orbit
interaction significantly renormalizes the value of the corresponding Rashba
($\alpha_{SIA}$) and Dresselhaus ($\alpha_{BIA}$) 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 $\alpha_{SIA}$ and $\alpha_{BIA}$. 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 $\tau \rightarrow K^{0}K^{-}\nu_{\tau}$ in the extended Nambu-Jona-Lasinio model

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

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

The decays $\tau \rightarrow (\eta,\eta') K^{-} \nu_{\tau}$ 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 $K^{*}(892)$ and $K^{*}(1410)$ mesons play the main role. In the
scalar channels, the subprocesses with intermediate $K_{0}^{*}(800)$ and
$K_{0}^{*}(1430)$ mesons are taken into account. Scalar channels play a less
important role in calculation of the full width of the decay $\tau \rightarrow
(\eta,\eta') K^{-} \nu_{\tau}$. The obtained results are in satisfactory
agreement with the experimental data.Comment: 8 pages, 4 figure

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

In this paper, the width of the decay $\tau \rightarrow
K^{-}\pi^{0}\nu_{\tau}$ is calculated in the framework of the
Nambu-Jona-Lasinio model. The contributions of the intermediate vector
$K^{*}(892)$ and scalar $K_{0}^{*}(800)$ 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 $W$-boson and vector $K^{*}(892)$ meson. The
scalar channel with the intermediate $K_{0}^{*}(800)$ meson gives an
insignificant contribution. In Appendix, it is shown that the contribution of
the subprocess with the intermediate ${K^{*}}'(1410)$ 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 $f_1(1285) \gamma$ and $a_1(1260) \gamma$ in colliding $e^{+}e^{-}$-beams in threshold domain

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

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