Using the data acquired in the CMS experiment at the Large Hadron Collider (LHC) within 2016—2018, beautiful baryons decaying into
are studied. The existence of the
,
,
, and
states is confirmed and ...their masses are measured.
Using the data collected by the CMS experiment at the Large Hadron Collider in collisions of protons with a center-of-mass energy of 8 TeV, excited
P
-wave states
and B
s1
(5830)
0
of the
meson are ...studied. The decay
is observed for the first time, the first indication of the
decay existence is obtained, the probabilities of these decays with respect to the corresponding decays into B
(
*
)+
are measured. B
0
and B
+
ground states are reconstructed using
and
decays. Masses of
P
-wave
mesons and the natural width of the
meson are measured; the mass difference
between charged and neutral B* mesons is determined for the first time.
The first observation of two excited states of the
is presented together with the measurements of the
mass and the mass difference
. Additionally, we present a study of
-baryon excited states, ...namely,
,
,
, and
, decaying into
. The two analyses are carried out using the data collected in proton-proton collisions at a centre-of-mass energy of 13 TeV by the CMS experiment and corresponding to an integrated luminosity of about 140 fb
.
Studies of rare decays of heavy hadrons make it possible to perform sensitive tests of the Standard Model predictions. In this paper, we present new measurements of
and
decays in the CMS experiment. ...The analysis is performed using the data acquired in 13-TeV proton–proton collisions corresponding to the integrated luminosity of 140 fb
–1
.
This article formulates the foundations of modern mathematical education that meet the new goals and objectives of mathematical education dictated by changes in mathematics itself over the last ...century, by changes in its role in the modern digital world, and by changes in the world. The basic system of concepts is described, starting from which the whole modern mathematics of the finite, as well as primary mathematical education, is built. For all levels of mathematical education and for all learners, the ability to solve problems whose solutions are not known (to the student) and to do it independently with the help and support of a motivating teacher is a fundamental skill. A significant role is played by a computer mathematical experiment and the transfer of tasks with solutions having been found by the student to the computer. This article also describes the actual state of affairs in the Russian mass education system and proposes the necessary actions to implement the formulated principles of modern mathematical education in Russia. Most of the articles presented in this issue demonstrate and detail the implementation of the formulated principles.
We consider the content and methods of teaching mathematics in primary school in the context of digitalization. The necessity of a significant updating of the curriculum is shown. In particular, this ...implies the use of digital tools as an object of study and a way of significantly improving the content and effectiveness of learning mathematics to prepare children for the future life and work.
The first ever observation of the decay process
B
0
→
J
/ψη′ is described. The branching ratios were measured for the decay processes
B
(s)
→ J/ψη(′), and the η–η′ mixing angles were determined on ...this basis. The first indication of the occurrence of the decay process
B
s
→ ψ(2
S
)η′ is presented. The respective analysis was performed on the basis of data accumulated with the LHCb detector in proton–proton collisions at the c.m. collision energies of 7 and 8 TeV and the integrated luminosity of 3 fb
−1
.
