A linear boundary value problem describing the axially symmetric steady viscous electrovortex flow in a hemispherical container is considered. The electrovortex flow is generated due to the ...interaction of an electric current flowing through the medium with the magnetic field produced by this current. In earlier works, formal double series in terms of the eigenfunctions of the Dirichlet problem for the Laplacian in a hemispherical layer were obtained for the solution of this problem. The Fourier coefficients were expressed in terms of hypergeometric functions, and they contained the eigenvalues of the hemispherical layer. In this paper, the classical solution of the boundary value problem under study is represented in the form of single series in terms of associated Legendre functions. The expansion coefficients are elementary functions of the radial variable. The first few terms are sufficient for the correct representation of the solution. The rate of decay of the terms is estimated. The smoothness of the solution is proved using Weyl’s lemma. The results can be useful in the study of other boundary value problems involving a vector Laplacian.
Calorimetry of the CMD-3 detector Akhmetshin, R R; Anisenkov, A V; Aulchenko, V M ...
Journal of physics. Conference series,
11/2017, Volume:
928, Issue:
1
Journal Article
Peer reviewed
Open access
The CMD-3 detector has been collecting data since 2010 at the e+e− collider VEPP-2000 in the Budker Institute of Nuclear Physics. VEPP-2000 uses the novel round beam technique and provides high ...luminosity in a wide c.m.energy range from 0.32 to 2 GeV. The physics goal of the CMD-3 experiment is a study of the e+e− annihilation into hadrons. CMD-3 is a general-purpose detector, which provides high efficiency for both charged and neutral particles. The electromagnetic calorimeter consists of the barrel calorimeter based on liquid xenon and CsI crystals, and the endcap calorimeter based on BGO crystals. The main parameters of the calorimeters are presented.
A study of hadron production at the nucleon-antinucleon threshold has been performed with the CMD-3 detector at the VEPP-2000
e
+
e
−
collider. A very fast rise with an about 1 MeV width has been ...observed in the
e
+
e
−
→
pp
̅ cross section. A sharp drop in the
e
+
e
−
→ 3(π
+
π
−
) cross section has been con?rmed and found to have a width of less than 2 MeV, in agreement with the observed fast rise of the
e
+
e
−
→
pp
̅ cross section. For the ?rst time a similar sharp drop is demonstrated in the
e
+
e
−
→
K
+
K
−
π
+
π
−
cross section. The behavior of the
e
+
e
−
→ 3(π
+
π
−
),
K
+
K
−
π
+
π
−
cross sections cannot be explained by an interference of any resonance amplitude with continuum, therefore this phenomenon cannot be due to a narrow near-threshold resonance. No such structure has been observed in the
e
+
e
−
→ 2(π
+
π
−
) cross section.
A large data sample of
e
+
e
-
→ 4π collected by the CMD-3 experiment at the VEPP-2000
e
+
e
−
collider allowed for an amplitude analysis of the process
e
+
e
−
→ 4π in the center-of-mass energy ...range 900–2000 MeV. Various intermediate components were distinguished and dominance of the ωπ
0
and a
1
π amplitudes has been proved.
A brief review of the recent results on the hadronic cross section measurements with the CMD-3 detector at the
e
+
e
−
collider VEPP-2000 is given. Focus is made on the processes with charged kaons ...in multihadron events, which have a strong impact on strange meson spectroscopy and form factors that are important ingredients in the Dalitz plot analysis. Experimental data relevant to the topic are presented from the broad energy range covered by VEPP-2000 and compared to earlier measurements by the different collaborations. The analysis is based on the integrated luminosity of about 100 pb
−1
collected in 2011, 2012 and 2017.
Existing Monte-Carlo generators with radiative corrections to the
e
+
e
-
→π
+
π
-
process are usually developed under the assumption that pions can be treated as pointlike particles. We study the
e
...+
e
-
→π
+
π
-
γ
process with final-state radiation and test this assumption using simulated events from the MCGPJ generator based on the scalar QED hypothesis. In order to increase a fraction of events with FSR, the analysis was performed in the energy region to the left from the
ρ
-meson peak (660÷785 MeV) that is based on the integrated luminosity of about 8.4 pb
-1
. The experimental data for the photon energy spectrum agree with the simulation results at 1% level.
The cross section of the process
e
+
e
−
→ π
+
π
−
π
+
π
−
has been measured using an integrated luminosity of 17 pb
−1
collected with the CMD-3 detector in the center-of-mass energy range 650-1000 ...MeV. High-precision measurements of various hadronic cross sections are of great interest in relation with the problem of the muon anomalous magnetic moment g-2. This measurement can be also used to test the relation between the cross section of
e
+
e
−
→ π
+
π
−
π
+
π
−
and the spectral function for the τ
−
→ π
−
π
0
π
0
π
0
decay predicted by the conservation of vector current (CVC).
Recent results from CMD-3 Ignatov, F. V.; Akhmetshin, R. R.; Amirkhanov, A. N. ...
EPJ Web of Conferences,
2019, Volume:
212
Journal Article, Conference Proceeding
Peer reviewed
Open access
Regular data taking with the CMD-3 at the electron-positron collider VEPP-2000 is under way since 2010. The collected data sample corresponds to about 200 inverse picobarns of integrated luminosity ...per detector in the energy range from 0.32 up to 2 GeV, with a goal to collect about 1
fb
−1
during next five years. Some of the recent results from the CMD-3 detector are discussed.
The cross section of the process e + e − → π + π − has been measured in the center of mass energy range from 0.32 to 1.2 GeV with the CMD-3 detector at the electron-positron collider VEPP-2000. The ...measurement is based on a full dataset collected below 1 GeV during three data taking seasons, corresponding to an integrated luminosity of about 62 pb − 1 . In the dominant ρ -resonance region, a systematic uncertainty of 0.7% has been reached. At energies around ϕ -resonance the π + π − production cross section was measured for the first time with high beam energy resolution. The forward-backward charge asymmetry in the π + π − production has also been measured. It shows a strong deviation from the theoretical prediction based on the conventional scalar quantum electrodynamics framework, and it is in good agreement with the generalized vector-meson-dominance and dispersive-based predictions. The impact of the presented results on the evaluation of the hadronic contribution to the anomalous magnetic moment of muon is discussed. Published by the American Physical Society 2024
The cross section of the process e+ e−→ KS KL π0 has been studied with the CMD-3 detector at the VEPP-2000 electron-positron collider in the center-of-mass energy range from 1.1 to 2 GeV. Preliminary ...results on the total cross section of the process are presented.
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