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The dynamics of two-component solitons is studied, analytically and numerically, in the framework of a system of coupled extended nonlinear Schrodinger equations, which incorporate the cross-phase modulation, pseudo-stimulated-Raman-scattering (pseudo-SRS), cross-pseudo-SRS, and spatially inhomogeneous second-order dispersion (SOD). The system models co-propagation of electromagnetic waves with orthogonal polarizations in plasmas. It is shown that the soliton's wavenumber downshift, caused by pseudo-SRS, may be compensated by an upshift, induced by the inhomogeneous SOD, to produce stable stationary two-component solitons. The corresponding approximate analytical solutions for stable solitons are found. Analytical results are well confirmed by their numerical counterparts. Further, the evolution of inputs composed of spatially even and odd components is investigated by means of systematic simulations, which reveal three different outcomes: formation of a breather which keeps opposite parities of the components; splitting into a pair of separating vector solitons; and spreading of the weak odd component into a small-amplitude pedestal with an embedded dark soliton.

Evolution of solitons is addressed in the framework of a third-order nonlinear Schrodinger equation (NLSE), including nonlinear dispersion, third-order dispersion and a pseudo-stimulated-Raman-scattering (pseudo- SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is well known as a part of the temporal-domain NLSE in optics. In this context, it is induced by the underlying interaction of the high-frequency envelope wave with a damped low-frequency wave mode. In addition, spatial inhomogeneity of the second-order dispersion (SOD) is assumed. As a result, it is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, can be compensated with the upshift provided by decreasing SOD coefficients. Analytical results and numerical results are in a good agreement.

We report preliminary results on the cross section of the process e+e− → φ(1020)η measured at 30 center-of-mass energy points in the range from 1.59 up to 2.0 GeV. Data analysis is based on the integrated luminosity of 22 pb−1 collected with the CMD-3 detector in 2011–2012. The obtained cross section agrees with the BaBar measurement and has better statistical accuracy.

The dynamics of a two-component Davydov–Scott (DS) soliton with a small mismatch of the initial location or velocity of the high-frequency (HF) component was investigated within the framework of the Zakharov-type system of two coupled equations for the HF and low-frequency (LF) fields. In this system, the HF field is described by the linear Schrodinger equation with the potential generated by the LF component varying in time and space. The LF component in this system is described by the Korteweg–de Vries equation with a term of quadratic influence of the HF field on the LF field. The frequency of the DS soliton's component oscillation was found analytically using the balance equation. The perturbed DS soliton was shown to be stable. The analytical results were confirmed by numerical simulations.

We introduce a nonlinear Schroedinger equation (NLSE) which combines the pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a non-conservative cubic one with the first spatial derivative, and an external potential, which helps to stabilize solitons against the pseudo-SRS effect. Dynamics of solitons is addressed by means of analytical and numerical methods. The quasi-particle approximation (QPA) for the solitons demonstrates that the SRS-induced downshift of the soliton's wavenumber may be compensated by a potential force, producing a stable stationary soliton. Three physically relevant potentials are considered: a harmonic-oscillator (HO) trap, a spatially periodic cosinusoidal potential, and the HO trap subjected to periodic temporal modulation. Both equilibrium positions of trapped pulses (solitons) and their regimes of motion with trapped and free trajectories are accurately predicted by the QPA and corroborated by direct simulations of the underlying NLSE. In the case of the time-modulated HO trap, a parametric resonance is demonstrated, in the form of motion of the driven soliton with an exponentially growing amplitude of oscillations., to be published in Communications in Nonlinear Science and Numerical Simulation

Dynamics of solitons is considered in the framework of the extended nonlinear Schrodinger equation (NLSE), which is derived from a system of the Zakharov’s type for the interaction between high- and low-frequency (HF and LF) waves, in which the LF field is subject to diffusive damping. The model may apply to the propagation of HF waves in plasmas. The resulting NLSE includes a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as an ingredient of the temporal-domain NLSE in optics. Also included is inhomogeneity of the spatial second-order diffraction (SOD). It is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, may be compensated by an upshift provided by the SOD whose coefficient is a linear function of the coordinate. An analytical solution for solitons is obtained in an approximate form. Analytical and numerical results agree well, including the predicted balance between the pseudo-SRS and the linearly inhomogeneous SOD.

The dynamics of high-frequency field solitons is considered using the extended nonhomogeneous nonlinear Schrodinger equation with induced scattering from damped low-frequency waves (pseudoinduced scattering). This scattering is a 3D analog of the stimulated Raman scattering from temporal spatially homogeneous damped low-frequency modes, which is well known in optics. Spatial inhomogeneities of secondorder linear dispersion and cubic nonlinearity are also taken into account. It is shown that the shift in the 3D spectrum of soliton wavenumbers toward the short-wavelength region is due to nonlinearity increasing in coordinate and to decreasing dispersion. Analytic results are confirmed by numerical calculations.

We consider the soliton dynamics within the framework of an extended nonlinear Schrodinger equation with pseudo stimulated scattering, which occurs from the damped low-frequency waves, and the spatially inhomogeneous cubic nonlinearity. It is shown that the pseudo stimulated scattering, which leads to a shift of the spectrum of the soliton wave numbers to the long-wavelength region, and the nonlinearity, which increases with the coordinate and shifts the soliton spectrum to the short-wavelength region, can be in balance. The soliton solution, which results from this balance, is explicitly obtained.

Experiments with the CMD-3 detector at the VEPP-2000 electron–positron collider in the range of center of mass collision energies from 0.32 to 2 GeV have been performed since December 2010. The amount of accumulated data corresponds to an integrated luminosity of about 60 pb-1. The resultsof a preliminary analysis are presented for the following annihilation channels: e + e - → 3(π+π-), 2(π+π-π0), K + K -π+π-, K + K -, $$p\bar p$$ , and π+π-. Since processes of electron–positron annihilation that involve the production of multihadron states proceed through several intermediate states, their analysis is necessary for the correct description of the emission-angle and invariant-mass distributions of product particles.

Preliminary results of an experiment that is aimed at measuring the cross section for the process e+e− → K+K− at c.m. energies in the range between 1.01 and 2.0 GeV with the aid of the CMD-3 detector and which is being performed at the VEPP-2000 collider of the Budker Institute of Nuclear Physics (Novosibirsk, Siberian Branch, Russian Academy of Sciences) are presented.

The cross sections for the processes e + e − → 2(π+π−π0) and e + e − → 3(π+π−) at c.m. energies in the range of 1.5–2 GeV were measured with the aid of the CMD-3 detector at the VEPP-2000 collider of the Budker Institute of Nuclear Physics (Novosibirsk, Siberian Branch, Russian Academy of Sciences). The integrated luminosity in the respective experiment was 22 pb−1.

New two-component soliton solutions of the coupled high-frequency (HF)-low-frequency (LF) system, based on Schrodinger-Korteweg-de Vries (KdV) system with the Zakharov's coupling, are obtained for arbitrary relative strengths of the nonlinearity and dispersion in the LF component. The complex HF field is governed by the linear Schrodinger equation with a potential generated by the real LF component, which, in turn, is governed by the KdV equation including the ponderomotive coupling term, representing the feedback of the HF field onto the LF component. First, we study the evolution of pulse-shaped pulses by means of direct simulations. In the case when the dispersion of the LF component is weak in comparison to its nonlinearity, the input gives rise to several solitons in which the HF component is much broader than its LF counterpart. In the opposite case, the system creates a single soliton with approximately equal widths of both components. Collisions between stable solitons are studied too, with a conclusion that the collisions are inelastic, with a greater soliton getting still stronger, and the smaller one suffering further attenuation. Robust intrinsic modes are excited in the colliding solitons. A new family of approximate analytical two-component soliton solutions with two free parameters is found for an arbitrary relative strength of the nonlinearity and dispersion of the LF component, assuming weak feedback of the HF field onto the LF component. Further, a one-parameter (non-generic) family of exact bright-soliton solutions, with mutually proportional HF and LF components, is produced too. Intrinsic dynamics of the two-component solitons, induced by a shift of their HF component against the LF one, is also studied, by means of numerical simulations, demonstrating excitation of a robust intrinsic mode. In addition to the above-mentioned results for LF-dominated two-component solitons, which always run in one (positive) velocities, we produce HF-dominated soliton complexes, which travel in the opposite (negative) direction. They are obtained in a numerical form and by means of a quasi-adiabatic analytical approximation. The solutions with positive and negative velocities correspond, respectively, to super- and subsonic Davydov-Scott solitons.

We study the stationary wave solutions of an extended nonlinear Schrodinger equation with nonlinear dispersion and stimulated scattering. New classes of the kink waves with nonlinear phase modulation, the existence of which is stipulated by the balance of nonlinear dispersion and stimulated scattering, have been found.

We consider the soliton dynamics in terms of the extended nonlinear Schrodinger equation taking into account the inhomogeneous linear second-order dispersion (SOD) and stimulated scattering by damped low-frequency waves (SSDW). It is shown that the wave number downshift due to SSDW is compensated by an upshift due to the SOD decrease on the spatial coordinate. A new class of stationary nonlinear localized solutions (solitons) arising as an equilibrium of SSDW and decreasing spatial SOD is found analytically within the framework of the extended inhomogeneous nonlinear Schrodinger equation. A regime of the dynamic equilibrium of SSDW and inhomogeneous dispersive medium with the soliton parameters periodically varied in time is found. Analytical and numerical results are in good agreement for this regime.

Since December 2010, the CMD-3 detector has collected data at the electronpositron collider VEPP-2000. The sample of the accumulated data corresponds to about 60 pb −1 of integrated luminosity in the c.m. energy from 0.32 up to 2 GeV. Preliminary results of the analysis of various processes e + e − annihilation to hadrons are presented. It is shown the processes with multihadron events have several intermediate states which must be taken into account to correctly describe the angular and invariant mass distributions as well as cross section dependence versus energy.

Dynamics of Langmuir solitons is considered in the framework of the extended nonlinear Schrodinger equation (NLSE), including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, caused by stimulated scattering on damping ion-sound waves. Also included are spatially decreasing second-order dispersion (SOD) and increasing self-phase modulation (SPM), caused by spatially decreasing electron temperature of plasma. It is shown that the wavenumber downshift of solitons, caused by the pseudo-SRS, may be compensated by an upshift provided by the decreasing SOD and increasing SPM coefficients. An analytical solution for solitons is obtained in an approximate form. Analytical and numerical results agree well.

We study interaction of different-polarization single-component vector solitons of the envelope function in anisotropic media within the framework of the system of two coupled third-order nonlinear Schrodinger equations which allow for the third-order linear dispersion, nonlinear dispersion, nonlinear cross-phase modulation, and cross-nonlinear dispersion. The regimes of mutual reflection, passage, and asymptotic approach of the solitons are obtained. It is shown that the character of interaction of such solitons is determined by the initial relationship of their amplitudes and phases. The stationary mutual locations of interacting solitons and their coupled, the so-called breather states are discussed. The roles of the cubic nonlinearity, cubic cross-nonlinearity, and cross-nonlinear dispersion during interaction of solitons are studied.

An interaction of vector solitons in the frame of coupled third-order nonlinear Schrodinger equations taking into account third-order linear dispersion, nonlinear dispersion, and cross-phase modulation terms is considered. Phase nature of the solitonsʼ interaction is shown. In particular, dependence of solitonsʼ trajectories on initial distance between solitons is shown. Conditions of reflection and propagation of solitons through each other are obtained.

The dynamics of solitons is considered in the framework of an extended nonlinear Schrödinger equation (NLSE), which is derived from a Zakharov-type model for wind-driven high-frequency surface waves in the ocean, coupled to damped low-frequency internal waves. The drive gives rise to a convective (but not absolute) instability in the system. The resulting NLSE includes a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, which is a spatial-domain counterpart of the SRS term, a well-known ingredient of the temporal-domain NLSE in optics. Analysis of the field-momentum balance and direct simulations demonstrates that wave-number downshift by the pseudo-SRS may be compensated by the upshift induced by the wind traction, thus maintaining robust bright solitons in both stationary and oscillatory forms; in particular, they are not destroyed by the underlying convective instability. Analytical soliton solutions are found in an approximate form and are verified by numerical simulations. Solutions for soliton pairs are obtained in the numerical form.

Within the framework of the third-order approximation of the nonlinear wave dispersion theory, we find new classes of short scalar and vector solitons of lengths about several wavelengths. Short scalar solitons are found within the framework of a third-order nonlinear Schrodinger equation (NSE-3) including both the nonlinear dispersion terms and the third-order linear dispersion term. The interaction of such solitons is studied, and the soliton stability is proved. Short vector solitons are found within the framework of a coupled third-order nonlinear Schroodinger equation (CNSE-3). Interaction and stability of such solitons are studied.

We find a class of short vector soliton solutions of the coupled third-order nonlinear Schrodinger equation (CNSE-3) and analyze the stability of such solitons in the adiabatic approximation. The analytical results are confirmed by numerical simulations of the dynamics of perturbed short vector solitons corresponding to the CNSE-3.

Regular operation of the VEPP-2000 electron-positron collider started at the end of 2010 and about 60 pb −1 were collected so far by the CMD-3 detector in the whole available c.m. energy range from 0.32 GeV to 2.0 GeV. One of the main goals of the experiments at VEPP-2000 is a sub-percent measurement of the e + e − → π + π − cross-section. Here we present the overview of the data analysis techniques and the preliminary results of this measurement.

Dynamics of solitons is considered in the framework of an extended nonlinear Schrodinger equation (NLSE), which is derived from a system of the Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves. The resulting NLSE includes a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is a known ingredient of the temporal-domain NLSE in optics. Also included is inhomogeneity of the spatial second-order dispersion (SOD) and linear losses of HF waves. It is shown that wavenumber downshift by the pseudo-SRS may be compensated by upshift provided by SOD whose local strength is an exponentially decaying function of the coordinate. An analytical soliton solution with a permanent shape is found in an approximate form, and is verified by comparison with numerical results, 13 pages, 6 figures, Optics Communications, in press. arXiv admin note: text overlap with arXiv:1306.4550

We report preliminary results on the measurement of the cross sections of the processes e + e − → K + K − π + π − and e + e − → φη in the c.m.energy range from 1.5 GeV to 2 GeV with the CMD-3 detector. The cross sections of these processes agree with BaBar results and have better accuracy.

Since 2010 the CMD-3 detector has been collecting data at the VEPP-2000 e + e − collider. CMD-3 is a general purpose detector designed to study e + e − annihilation into hadrons in the center-of-mass (c.m.) energy range from 0.3 up to 2 GeV. Preliminary results for the e + e − → 2(π + π − π 0 ) cross section were obtained in the c.m. energy range from 1.5 up to 2 GeV. The analysis is based on a data sample of 22 pb −1 .

A class of short vector solitons in the frame of the coupled third-order nonlinear Schrodinger equation (CNSE-3) is found. Stability of the solitons in adiabatic approximation is considered. The analytical results are confirmed by numerical simulations of the dynamics of the perturbed short vector solitons in the frame of the CNSE-3.

We consider the dynamics of short envelope solitons within the framework of the third-order nonlinear Schrodinger equation with allowance for both linear losses and pumping by an external wave field. An equation for the soliton amplitude is derived. The stationary value of the soliton amplitude is found.

The interaction of short envelope solitons with external wave fields is considered in the framework of the third-order nonlinear Schrodinger equation. First, the scattering of external fields at a soliton with constant parameters is analyzed. Then, the variation of soliton parameters is considered in the adiabatic approximation. This variation is caused by the nonlinear dispersion. Estimates of the amplification of short optical solitons with duration of a few femtoseconds in fibers are given.

The propagation of short (of the order of a few wavelengths) intense wave packets in smoothly inhomogeneous media with an arbitrary profile of the potential is considered within the framework of the third-order nonlinear Schrodinger equation with inhomogeneous potential. An equation for trajectories of the center of mass of a packet is studied under the Hirota conditions. Parabolic and periodic profiles of inhomogeneity are considered in detail.

Dynamics of wave packets described by the third-order nonlinear Schrodinger equation is considered employing numerical methods. It is shown that initial pulse tends to one or a few solitons plus a linear quasi-periodic wave under the condition of the same signs of parameters of the third-order linear dispersion and nonlinear dispersion. The number and parameters of the solitons depend on the magnitudes of both initial pulse parameters and parameters of the equation.

The dynamics of short envelope solitons in media with controlled dispersion is investigated in the framework of the third-order nonlinear Schrodinger equation. Evolution of the solitons amplitude is analyzed in the adiabatic approximation. The existence of short envelope solitons independent from linear dispersion inhomogeneity is shown.

We present the results of numerical study of the evolution of wave packets and envelope soliton interaction in terms of the third-order nonlinear Schrodinger equation. It is shown that an arbitrary initial pulse evolves to a few solitons and a linear quasiperiodic wave. The interaction of solitons is accompanied by the radiation of part of the wave field in the form of a linear quasiperiodic wave from the interaction region, amplification of the soliton with larger amplitude and attenuation of the soliton with smaller amplitude.

Frequency modulated nonlocalized stationary wave solutions in a general type equation of the third-order approximation of the nonlinear dispersion wave theory (third-order nonlinear Schrodinger equation) are studied. The case of a polynomial type dependence of additional frequency on wave amplitude Ω ∼ A is considered. Sech-like and algebraic soliton solutions are obtained.

We analyze nonlinear waves within the framework of the basic equation of the third approximation of the theory of dispersion of nonlinear waves. This equation, which includes terms of nonlinear and linear dispersion of the third order, adquately describes short wave packets with a width of up to several wavelengths.

We have obtained solutions in the form of stationary waves within the framework of the generalized KdV-Burgers equation, which contains nonconservative terms of linear pump, linear HF dissipation, and nonlinear dissipation. Both periodic and solitary waves are analyzed.

Propagation of 1D short (of the order of a few wavelengths) nonlinear wave packets and envelope solitons in a smoothly inhomogeneous medium with a linear potential using the general nonlinear equation of the third-order approximation of the dispersion theory is considered. First, the explicit solution for the trajectories of nonlinear waves is studied. There are different modes wave packet movement depending on the value of the third-order terms. Then, the explicit envelope-soliton solution is obtained. This solution may be reduced, in a particular case, to the well-known Chen soliton solution.

Solitons dynamics in the frame of the extended nonlinear Schrodinger equation taking into account space stimulated Raman scattering (SSRS), synchronic spatial variation of inhomogeneous second-order dispersion (SOD), and self-phase modulation (SPM) is considered both analytically and numerically. Compensation of soliton Raman self–wave number down shift by synchronically increasing SOD and SPM is shown. Analytical soliton solution as a result of the equilibrium of SSRS and increasing both SOD and SPM is found. Regime of the dynamical equilibrium of SSRS and inhomogeneous media with periodical variation of soliton's parameters is found. Analytical and numerical results are in a good agreement.

Dynamics of solitons is considered in the framework of the extended nonlinear Schrodinger equation (NLSE), which is derived from a system of Zakharov's type for the interaction between high- and low-frequency (HF and LF) waves, in which the LF field is subject to diffusive damping. The model may apply to the propagation of HF waves in plasmas. The resulting NLSE includes a pseudo-stimulated-Raman-scattering (PSRS) term, i.e., a spatial-domain counterpart of the SRS term which is well known as an ingredient of the temporal-domain NLSE in optics. Also included is inhomogeneity of the spatial second-order diffraction (SOD). It is shown that the wavenumber downshift of solitons, caused by the PSRS, may be compensated by an upshift provided by the SOD whose coefficient is a linear function of the coordinate. An analytical solution for solitons is obtained in an approximate form. Analytical and numerical results agree well, including the predicted balance between the PSRS and the linearly inhomogeneous SOD., Comment: 9 pages, 5 figures, J. Plasma Physics (accepted)

A unified description of both short (on the order of a few wavelengths) envelope solitons and video solitons (without high-frequency filling) in dispersive media of different nature is given within the framework of the general third-order nonlinear equation of nonlinear dispersion theory. This solution includes, as particular cases, the well-known envelope solitons of the nonlinear Schrodinger equation (NSE), a modified Hirota equation, a combined nonlinear equation at the zero-dispersion point (ZDP), and video solitons of a modified Korteweg-de Vries (KdV) equation. An explicit soliton solution for inhomogeneous media is found within the framework of the third-order nonlinear equation with a linear-profile potential. This solution can be reduced to the well-known Chen-soliton solution. The examples of short intense solitons of electromagnetic and Langmuir waves in an isotropic plasma and of optical solitons in cubic nonlinear optical media are considered. In an isotropic plasma, the soliton velocity in a third-order approximation of nonlinear dispersion theory depends on the soliton amplitude. Short intense phase-modulated optical solitons are obtained for cubic nonlinear isotropic optical media. The length of these solitons is less than the length of NSE solitons. This increases the information capacity of fiberoptical lines of communication when a short base pulse is used.

The study of the evolution of 1 —D intense high-frequency (HF) packets in a smoothly inhomogeneous plane-layer medium with local and nonlocal striction nonlinearities is reviewed. The role of low-frequency (LF) radiation from an HF packet in an inhomogeneous medium with nonlocal nonlinearity is discussed.

Dynamics of solitons in the frame of the extended nonlinear Schrodinger equation (NSE) taking into account stimulated Raman scattering (SRS) and inhomogeneous second-order dispersion (SOD) is considered. Compensation of soliton Raman self-wave number downshift in media with increasing second-order linear dispersion is shown. Quasi-soliton solution with small wave number spectrum variation, amplitude and extension are found analytically in adiabatic approximation and numerically. The soliton is considered as the equilibrium of SRS and increasing SOD. For dominate SRS soliton wave number spectrum tends to long wave region. For dominate increasing SOD soliton wave number spectrum tends to shortwave region.

Dynamics of Langmuir solitons is considered in plasmas with spatially inhomogeneous electron temperature. An underlying Zakharov-type system of two unidirectional equations for the Langmuir and ion-sound fields is reduced to an inhomogeneous nonlinear Schrodinger equation with spatial variation of the second-order dispersion and self-phase modulation coefficients, induced by a spatially inhomogeneous profile of the electron temperature. Analytical trajectories of motion of a soliton in the plasma with an electron-temperature hole, barrier, or cavity between two barriers are found, using the method of integral moments. The possibility of the soliton to pass a high-temperature barrier is shown too. Analytical results are well corroborated by numerical simulations.

Dynamics of solitons is considered in an extended nonlinear Schrodinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, nonlinear dispersion and inhomogeneity of the spatial second-order dispersion (SOD). It is shown that wave-number downshift by the pseudo-SRS may be compensated by upshift provided by spatially increasing SOD with taking into account nonlinear dispersion. The equilibrium state is stable for negative parameter of nonlinear dispersion and unstable for positive one. The analytical solutions are verified by comparison with numerical results

Since December 2010 the CMD-3 detector has taken data at the electron-positron collider VEPP-2000. The collected data sample corresponds to an integrated luminosity of 60 pb−1 in the c.m. energy from 0.32 up to 2 GeV. The preliminary results of the luminosity measurement are presented in various energy ranges. The current accuracy for integrated luminosity is estimated to be 1%.

It’s good known the difference in 3.5 sigma between the muon (g – 2) experimental result and its calculation in Standard Model. To clarify this intriguing discrepancy the new stage of muon (g – 2) measurement is under preparation at Fermi National Laboratory. On other hand, regular data taking for measurements of hadron cross section production in e + e − annihilations is under way since December 2010 at the electron-positron collider VEPP-2000 with the CMD-3 and SND detectors. The collected data sample corresponds to about 60 inverse picobarns of integrated luminosity per detector in the energy range from 0.32 up to 2 GeV. Preliminary analysis of various hadronic cross sections has been performed.

During years 2011 and 2012 data taking runs have been carried out at VEPP-2000 e+e- collider to measure the production of the nucleon-antinucleon pairs [Formula: see text] near threshold. In this talk the preliminary results on the nucleon timelike electromagnetic form factors (FF) and the |GE/GM| ratio are presented.

We report preliminary results on the measurement of the [Formula: see text] cross section with the CMD-3 detector at the VEPP-2000 electron-positron collider based on 4.5 pb-1 of integrated luminosity collected in the c.m. energy range 1.92 - 2.0 GeV. Event selection using information from the Drift Chamber and Calorimeters provides a clean sample of [Formula: see text] events. The obtained results are in good agreement with the previous measurements.

The VEPP-2000 electron-positron collider was commissioned in 2010. About 60 pb-1 were collected so far by CMD-3 detector in the whole available c.m. energy range from 0.32 GeV to 2.0 GeV. The preliminary results of data analysis for various modes of e+e− → hadrons are discussed.