95 research outputs found
Representations of the q-deformed algebra
An algebra homomorphism from the q-deformed algebra
with generating elements , , and defining relations
, , (where
) to the extension of the
Hopf algebra is constructed. The algebra at
leads to the Lie algebra of the group ISO(2)
of motions of the Euclidean plane. The Hopf algebra is treated
as a Hopf -deformation of the universal enveloping algebra of
and is well-known in the literature. Not all irreducible representations of
can be extended to representations of the extension . Composing the homomorphism with irreducible
representations of we obtain representations of
. Not all of these representations of are
irreducible. The reducible representations of are decomposed
into irreducible components. In this way we obtain all irreducible
representations of when is not a root of unity. A part
of these representations turns into irreducible representations of the Lie
algebra iso when . Representations of the other part have no
classical analogue.Comment: 12 pages, LaTe
Професор Г.Л. Кулініч (09.12.1938 – 10.02.2022) – видатний вчений і педагог
Pages of the article in the issue: 11 - 21
Language of the article: UkrainianСторінки у випуску: 11 - 21
Мова статті: українськ
Measurement of the decay form factors in the OKA experiment
A precise measurement of the vector and axial-vector form factors difference
in the decay is presented.
About 95K events of are selected in
the OKA experiment. The result is .
Both errors are smaller than in the previous measurements.Comment: 9 pages, 8 figure
Searches for the light invisible axion-like particle in decay
A high statistics data sample of the decays is recorded by the OKA
collaboration. A missing mass analysis is performed to search for a light
invisible pseudoscalar axion-like particle (ALP) in the decay . No signal is observed, the upper limits for the branching
ratio of the decay are calculated. The confidence level upper limit is
changing from to for the ALP mass from 0 to
200 MeV/, except for the region of mass, where the upper limit
is .Comment: 6 pages, 6 figure
Study of the decay in the OKA experiment
A high statistics data sample of the decays of mesons to three charged
particles was accumulated by the OKA experiment in 2012 and 2013. This allowed
to select a clean sample of about 450 events with
decays with the energy of the photon in
the kaon rest frame greater than 30 MeV. The measured branching fraction of the
, with > 30 MeV is . The measured energy spectrum of the decay photon is
compared with the prediction of the chiral perturbation theory to O. A
search for an up-down asymmetry of the photon with respect to the hadronic
system decay plane is also performed.Comment: 9 pages, 7 figures, 1 tabl
Uniform design and analysis of iterative learning control for a class of impulsive first-order distributed parameter systems
A general class of periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
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