78 research outputs found
ΠΠ°Π²ΠΈΠ³Π°ΡΠΈΠΎΠ½Π½Π°Ρ Π·Π°Π΄Π°ΡΠ° ΠΊΠΎΡΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π°ΠΏΠΏΠ°ΡΠ°ΡΠ° Π΄ΠΈΡΡΠ°Π½ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π·ΠΎΠ½Π΄ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΠ΅ΠΌΠ»ΠΈ ΠΏΠΎ ΡΡΠ΅ΠΌΠΊΠ΅ Π·Π΅ΠΌΠ½ΠΎΠΉ ΠΏΠΎΠ²Π΅ΡΡ Π½ΠΎΡΡΠΈ
Π ΠΎΠ·Π³Π»ΡΠ΄Π°ΡΡΡΡΡ Π²ΠΈΡΡΡΠ΅Π½Π½Ρ Π½Π°Π²ΡΠ³Π°ΡΡΠΉΠ½ΠΎΡ Π·Π°Π΄Π°ΡΡ ΠΊΠΎΡΠΌΡΡΠ½ΠΎΠ³ΠΎ Π°ΠΏΠ°ΡΠ°ΡΡ Π΄ΠΈΡΡΠ°Π½ΡΡΠΉΠ½ΠΎΠ³ΠΎ Π·ΠΎΠ½Π΄ΡΠ²Π°Π½Π½Ρ ΠΠ΅ΠΌΠ»Ρ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½ΡΠΌ ΠΌΠ°ΡΠ΅ΡΡΠ°Π»ΡΠ² Π·ΠΉΠΎΠΌΠΊΠΈ Π·Π΅ΠΌΠ½ΠΎΡ ΠΏΠΎΠ²Π΅ΡΡ
Π½Ρ. ΠΠ°Π΄Π°ΡΠ° Π²ΠΈΡΡΡΠ΅Π½Π° Π² ΡΡΠΈ Π΅ΡΠ°ΠΏΠΈ: ΠΏΠΎΠΏΠ΅ΡΠ΅Π΄Π½Ρ ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½Π° ΠΎΠ±ΡΠΎΠ±ΠΊΠ° Π·Π½ΡΠΌΠΊΠ° Π΄Π»Ρ Π²ΠΈΠ΄ΡΠ»Π΅Π½Π½Ρ ΡΠ° ΡΠ΄Π΅Π½ΡΠΈΡΡΠΊΠ°ΡΡΡ ΠΊΠΎΠ½ΡΡΡΠ½ΠΈΡ
Π»ΡΠ½ΡΠΉ Π½Π°Π·Π΅ΠΌΠ½ΠΈΡ
ΠΎΠ±βΡΠΊΡΡΠ², Π²ΠΈΡΡΡΠ΅Π½Π½Ρ Π·Π°Π΄Π°ΡΡ ΡΡΠΌΡΡΠ΅Π½Π½Ρ ΡΠΎΡΠΊΠΎΠ²ΠΈΡ
ΠΎΠ±βΡΠΊΡΡΠ² Π΄Π»Ρ Π²ΠΈΠΊΠ»ΡΡΠ΅Π½Π½Ρ ΠΏΠΎΡ
ΠΈΠ±ΠΎΠΊ ΡΠ΄Π΅Π½ΡΠΈΡΡΠΊΠ°ΡΡΡ Π½Π° ΠΏΠ΅ΡΡΠΎΠΌΡ Π΅ΡΠ°ΠΏΡ, Π²ΠΈΠ·Π½Π°ΡΠ΅Π½Π½Ρ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ² ΡΡΡ
Ρ ΠΊΠΎΡΠΌΡΡΠ½ΠΎΠ³ΠΎ Π°ΠΏΠ°ΡΠ°ΡΠ°, Π²ΠΈΠΊΠΎΡΠΈΡΡΠΎΠ²ΡΡΡΠΈ Π½Π΅Π²βΡΠ·ΠΊΡ ΡΠ°ΡΡΡΠΎΠ²ΠΈΡ
ΠΊΠΎΠΎΡΠ΄ΠΈΠ½Π°Ρ ΠΌΡΠΆ ΡΠΎΡΠΊΠ°ΠΌΠΈ Π·Π½ΡΠΌΠΊΠ° ΡΠ° ΠΊΠ°ΡΠ°Π»ΠΎΠ³ΠΎΠ²ΠΈΠΌ ΠΌΠ°ΡΠ΅ΡΡΠ°Π»ΠΎΠΌ.The navigation task of satellite have solved using the Earth remote sound picture. Firstly, some contours selected at the picture. Secondly, those contours recognized to use the cartographic contours. Then, authors used some methods of superposition two spot pictures. Thirdly, the data of orbital motion were estimating by least square method.Π Π°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ Π½Π°Π²ΠΈΠ³Π°ΡΠΈΠΎΠ½Π½ΠΎΠΉ Π·Π°Π΄Π°ΡΠΈ ΠΠ ΠΠΠ Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ² ΡΡΠ΅ΠΌΠΊΠΈ Π·Π΅ΠΌΠ½ΠΎΠΉ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ. ΠΠ°Π΄Π°ΡΠ° ΡΠ΅ΡΠ΅Π½Π° Π² ΡΡΠΈ ΡΡΠ°ΠΏΠ°: ΠΏΡΠ΅Π΄Π²Π°ΡΠΈΡΠ΅Π»ΡΠ½Π°Ρ ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠ° ΡΠ½ΠΈΠΌΠΊΠ° Ρ ΡΠ΅Π»ΡΡ Π²ΡΠ΄Π΅Π»Π΅Π½ΠΈΡ ΠΈ ΠΈΠ΄Π΅Π½ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΠΊΠΎΠ½ΡΡΡΠ½ΡΡ
Π»ΠΈΠ½ΠΈΠΉ Π½Π°Π·Π΅ΠΌΠ½ΡΡ
ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ², ΡΠ΅ΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°ΡΠΈ ΡΠΎΠ²ΠΌΠ΅ΡΠ΅Π½ΠΈΡ ΡΠΎΡΠ΅ΡΠ½ΡΡ
ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ² Ρ ΡΠ΅Π»ΡΡ ΠΈΡΠΊΠ»ΡΡΠ΅Π½ΠΈΡ ΠΎΡΠΈΠ±ΠΎΠΊ ΠΈΠ΄Π΅Π½ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ, Π΄ΠΎΠΏΡΡΠ΅Π½Π½ΡΡ
Π½Π° ΠΏΠ΅ΡΠ²ΠΎΠΌ ΡΡΠ°ΠΏΠ΅, ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² Π΄Π²ΠΈΠΆΠ΅Π½ΠΈΡ ΠΠ, ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΡ Π½Π΅Π²ΡΠ·ΠΊΡ ΡΠ°ΡΡΡΠΎΠ²ΡΡ
ΠΊΠΎΠΎΡΠ΄ΠΈΠ½Π°Ρ ΠΌΠ΅ΠΆΠ΄Ρ ΡΠΎΡΠΊΠ°ΠΌΠΈ ΡΠ½ΠΈΠΌΠΊΠ° ΠΈ ΠΊΠ°ΡΠ°Π»ΠΎΠ³ΠΎΠ²ΡΠΌ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠΌ
A high-pressure hydrogen time projection chamber for the MuCap experiment
The MuCap experiment at the Paul Scherrer Institute performed a
high-precision measurement of the rate of the basic electroweak process of
nuclear muon capture by the proton, . The
experimental approach was based on the use of a time projection chamber (TPC)
that operated in pure hydrogen gas at a pressure of 10 bar and functioned as an
active muon stopping target. The TPC detected the tracks of individual muon
arrivals in three dimensions, while the trajectories of outgoing decay (Michel)
electrons were measured by two surrounding wire chambers and a plastic
scintillation hodoscope. The muon and electron detectors together enabled a
precise measurement of the atom's lifetime, from which the nuclear muon
capture rate was deduced. The TPC was also used to monitor the purity of the
hydrogen gas by detecting the nuclear recoils that follow muon capture by
elemental impurities. This paper describes the TPC design and performance in
detail.Comment: 15 pages, 13 figures, to be submitted to Eur. Phys. J. A; clarified
section 3.1.2 and made minor stylistic corrections for Eur. Phys. J. A
requirement
Vectorial Ribaucour Transformations for the Lame Equations
The vectorial extension of the Ribaucour transformation for the Lame
equations of orthogonal conjugates nets in multidimensions is given. We show
that the composition of two vectorial Ribaucour transformations with
appropriate transformation data is again a vectorial Ribaucour transformation,
from which it follows the permutability of the vectorial Ribaucour
transformations. Finally, as an example we apply the vectorial Ribaucour
transformation to the Cartesian background.Comment: 12 pages. LaTeX2e with AMSLaTeX package
ΠΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Ξ²-ΡΡΠ½ΠΊΡΠΈΠΈ Π² ΡΠΈΡΠΎΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΈΠΈ Π΄Π»Ρ ΡΡΠ΅ΡΠ° Π°ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΠΈ ΠΊΡΠΈΠ²ΡΡ ΠΎΡΠΊΠ»ΠΈΠΊΠ° Π²ΠΈΠ΄ΠΎΠ² ΡΠ°ΡΡΠ΅Π½ΠΈΠΉ
Π ΡΠ°Π±ΠΎΡΠ΅ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ Π΄Π»Ρ ΡΠΈΡΠΎΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΎΡΠ΅Π½ΠΊΠΈ ΡΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ°ΠΊΡΠΎΡΠΎΠ² Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π°Π»ΡΠ½ΡΡ
ΡΠΊΠ°Π» Ρ ΡΡΠ΅ΡΠΎΠΌ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΠΊΠ°ΡΠ΄ΠΈΠ½Π°Π»ΡΠ½ΡΡ
ΡΠΎΡΠ΅ΠΊ ΠΈ Π²Π΅ΡΠΎΡΡΠ½ΠΎΠΉ Π°ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΠΈ ΠΊΡΠΈΠ²ΡΡ
ΠΎΡΠΊΠ»ΠΈΠΊΠ° Π²ΠΈΠ΄ΠΎΠ² ΡΠ°ΡΡΠ΅Π½ΠΈΠΉ. ΠΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ°ΠΊΡΠΎΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΡΡΡΡΡ ΡΠΈΡΠΎΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΠΌΠΈ ΡΠΊΠ°Π»Π°ΠΌΠΈ, Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½ Π²Π°ΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΊΠΎΡΠΎΡΡΡ
ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½. Π ΡΠ΅Π½ΡΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ°ΡΡΠΈ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π° ΡΠ°ΠΊΡΠΎΡΠ° ΠΊΡΠΈΠ²Π°Ρ ΠΎΡΠΊΠ»ΠΈΠΊΠ° Π²ΠΈΠ΄Π° ΠΈΠΌΠ΅Π΅Ρ ΡΠΎΡΠΌΡ, ΠΊΠΎΡΠΎΡΡΡ ΠΌΠΎΠΆΠ½ΠΎ Π½Π°Π΄Π΅ΠΆΠ½ΠΎ Π°ΠΏΠΏΡΠΎΠΊΡΠΈΠΌΠΈΡΠΎΠ²Π°ΡΡ Π½ΠΎΡΠΌΠ°Π»ΡΠ½ΡΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ ΠΠ°ΡΡΡΠ°. ΠΡΠΎ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΠΏΠΎΠ»Π½ΠΎΡΡΡΡ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΎ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΠΊΠ°ΡΠ΄ΠΈΠ½Π°Π»ΡΠ½ΡΡ
ΡΠΎΡΠ΅ΠΊ, ΠΊΠΎΡΠΎΡΡΠ΅ Π½Π΅ΠΏΠΎΡΡΠ΅Π΄ΡΡΠ²Π΅Π½Π½ΠΎ ΠΎΠ±ΠΎΠ·Π½Π°ΡΠ°ΡΡΡΡ ΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΎΡΠ½ΡΠΌΠΈ Π·Π½Π°ΡΠ΅Π½ΠΈΡΠΌΠΈ Π²ΠΈΠ΄Π°, Π²ΡΡΠΈΡΠ»ΡΡΡ ΠΎΡΠ΅Π½ΠΊΠΈ ΡΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΠΏΡΠΈΠΌΡΠΌΠ° Π²ΠΈΠ΄Π°. Π£ΡΡΠ΅Π΄Π½Π΅Π½Π½ΡΠ΅ Π·Π½Π°ΡΠ΅Π½ΠΈΡ ΠΎΡΠ΅Π½ΠΎΠΊ ΡΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΎΠΏΡΠΈΠΌΡΠΌΠΎΠ² Π²ΠΈΠ΄ΠΎΠ² ΡΠΎΠΎΠ±ΡΠ΅ΡΡΠ²Π°, Π²Π·Π²Π΅ΡΠ΅Π½Π½ΡΡ
Ρ ΡΡΠ΅ΡΠΎΠΌ ΠΈΡ
ΠΏΡΠΎΠ΅ΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΠΎΠΊΡΡΡΠΈΡ, Π΄Π°ΡΡ ΡΠΈΡΠΎΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΠΎΡΠ΅Π½ΠΊΡ ΡΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ°ΠΊΡΠΎΡΠ°. ΠΡΠΈ ΠΏΡΠΈΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠΈ ΠΊ ΠΌΠ°ΡΠ³ΠΈΠ½Π°Π»ΡΠ½ΡΠΌ ΠΏΠΎΠ·ΠΈΡΠΈΡΠΌ Π³ΡΠ°Π΄ΠΈΠ΅Π½ΡΠ° ΠΏΡΠΎΠΈΡΡ
ΠΎΠ΄ΠΈΡ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ Π°ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΡΠ½ΠΎΡΡΠΈ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ Π²ΠΈΠ΄ΠΎΠ². Π’Π°ΠΊΠΎΠ΅ ΡΠ²Π»Π΅Π½ΠΈΠ΅ Π½Π°Π±Π»ΡΠ΄Π°Π΅ΡΡΡ ΠΏΡΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ ΡΠ΅Π°Π»ΡΠ½ΡΡ
Π³ΡΠ°Π΄ΠΈΠ΅Π½ΡΠΎΠ². ΠΡΠΈ ΡΠ²Π»Π΅Π½ΠΈΡ ΡΠ°ΠΊΠΆΠ΅ ΡΠ²Π»ΡΡΡΡΡ ΡΠ»Π΅Π΄ΡΡΠ²ΠΈΠ΅ΠΌ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ²ΠΎΠΉΡΡΠ² ΡΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΊΠ°Π». ΠΠ»Ρ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΊΡΠΈΠ²ΡΡ
ΠΎΡΠΊΠ»ΠΈΠΊΠ° ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ Π²ΠΈΠ΄ΠΎΠ² Π² ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ Π°Π»ΡΡΠ΅ΡΠ½Π°ΡΠΈΠ²Ρ ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΡΠ½ΠΎΠΉ Π³Π°ΡΡΡΠΎΠ²ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΏΡΠΈΠΌΠ΅Π½ΡΠ΅ΡΡΡ Ξ²-ΡΡΠ½ΠΊΡΠΈΡ. ΠΡΠ° ΡΡΠ½ΠΊΡΠΈΡ ΠΌΠΎΠΆΠ΅Ρ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°ΡΡ ΠΊΠ°ΠΊ ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΡΠ½ΡΠ΅, ΡΠ°ΠΊ ΠΈ Π°ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΡΠ½ΡΠ΅ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ. Π’Π°ΠΊ ΠΊΠ°ΠΊ ΡΠΈΡΠΎΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΈΡ Π²ΡΠΏΠΎΠ»Π½ΡΠ΅Ρ ΠΎΠ±ΡΠ°ΡΠ½ΡΡ Π·Π°Π΄Π°ΡΡ Π² ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΈ Ρ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΊΡΠΈΠ²ΡΡ
ΠΎΡΠΊΠ»ΠΈΠΊΠ°, ΡΠΎ Π²ΠΏΠΎΠ»Π½Π΅ ΡΠΌΠ΅ΡΡΠ½ΠΎ Ξ²-ΡΡΠ½ΠΊΡΠΈΡ ΡΠ°ΠΊΠΆΠ΅ ΠΏΡΠΈΠΌΠ΅Π½ΠΈΡΡ Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°Ρ ΡΠΈΡΠΎΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΈΠΈ. ΠΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Ξ²-ΡΡΠ½ΠΊΡΠΈΠΈ ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΠ»ΠΎ ΠΎΡΠ΅Π½ΠΈΡΡ Π·ΠΎΠ½Ρ ΠΎΠΏΡΠΈΠΌΡΠΌΠ° Π²ΠΈΠ΄Π° Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π΅Π³ΠΎ ΠΊΠ°ΡΠ΄ΠΈΠ½Π°Π»ΡΠ½ΡΡ
ΡΠΎΡΠ΅ΠΊ Ρ ΡΡΠ΅ΡΠΎΠΌ Π²Π΅ΡΠΎΡΡΠ½ΠΎΠΉ Π°ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΠΈ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΊΡΠΈΠ²ΠΎΠΉ ΠΎΡΠΊΠ»ΠΈΠΊΠ° Π²ΠΈΠ΄Π°. Π’Π°ΠΊΠΆΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΡΠΈΠ²ΠΎΠΉ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ Π²ΠΈΠ΄Π° Π΄Π°Π΅Ρ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΡΡΠ·ΠΈΡΡ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΡΡ
Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΡΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ°ΠΊΡΠΎΡΠ°, Π² ΡΡΠ»ΠΎΠ²ΠΈΡΡ
ΠΊΠΎΡΠΎΡΠΎΠ³ΠΎ Π²ΠΈΠ΄ ΠΌΠΎΠΆΠ΅Ρ Π΄Π΅ΠΌΠΎΠ½ΡΡΡΠΈΡΠΎΠ²Π°ΡΡ Π½Π°Π±Π»ΡΠ΄Π°Π΅ΠΌΠΎΠ΅ ΠΎΠ±ΠΈΠ»ΠΈΠ΅ Π² ΡΠΎΠΎΠ±ΡΠ΅ΡΡΠ²Π΅. Π‘ΠΎΠΎΡΠ²Π΅ΡΡΡΠ²Π΅Π½Π½ΠΎ, ΡΡΠΎ ΡΠ²Π΅Π»ΠΈΡΠΈΠ²Π°Π΅Ρ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΡΠ΅Π½Π½ΠΎΡΡΡΒ Π²ΠΈΠ΄ΠΎΠ² Π² ΡΠΎΠΎΠ±ΡΠ΅ΡΡΠ²Π΅ ΠΈ ΡΠ°ΠΊΠΈΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅ΡΒ Π΄ΠΎΡΡΠΈΡΡ Π±ΠΎΠ»ΡΡΠ΅ΠΉ Π½Π°Π΄Π΅ΠΆΠ½ΠΎΡΡΠΈ ΡΠΈΡΠΎΠΈΠ½Π΄ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΡ
ΠΎΡΠ΅Π½ΠΎΠΊ
On elliptic solutions of the quintic complex one-dimensional Ginzburg-Landau equation
The Conte-Musette method has been modified for the search of only elliptic
solutions to systems of differential equations. A key idea of this a priory
restriction is to simplify calculations by means of the use of a few Laurent
series solutions instead of one and the use of the residue theorem. The
application of our approach to the quintic complex one-dimensional
Ginzburg-Landau equation (CGLE5) allows to find elliptic solutions in the wave
form. We also find restrictions on coefficients, which are necessary conditions
for the existence of elliptic solutions for the CGLE5. Using the investigation
of the CGLE5 as an example, we demonstrate that to find elliptic solutions the
analysis of a system of differential equations is more preferable than the
analysis of the equivalent single differential equation.Comment: LaTeX, 21 page
Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling g_P
The MuCap experiment at the Paul Scherrer Institute has measured the rate L_S
of muon capture from the singlet state of the muonic hydrogen atom to a
precision of 1%. A muon beam was stopped in a time projection chamber filled
with 10-bar, ultra-pure hydrogen gas. Cylindrical wire chambers and a segmented
scintillator barrel detected electrons from muon decay. L_S is determined from
the difference between the mu- disappearance rate in hydrogen and the free muon
decay rate. The result is based on the analysis of 1.2 10^10 mu- decays, from
which we extract the capture rate L_S = (714.9 +- 5.4(stat) +- 5.1(syst)) s^-1
and derive the proton's pseudoscalar coupling g_P(q^2_0 = -0.88 m^2_mu) = 8.06
+- 0.55.Comment: Updated figure 1 and small changes in wording to match published
versio
Measurement of the Rate of Muon Capture in Hydrogen Gas and Determination of the Proton's Pseudoscalar Coupling
The rate of nuclear muon capture by the proton has been measured using a new
experimental technique based on a time projection chamber operating in
ultra-clean, deuterium-depleted hydrogen gas at 1 MPa pressure. The capture
rate was obtained from the difference between the measured
disappearance rate in hydrogen and the world average for the decay
rate. The target's low gas density of 1% compared to liquid hydrogen is key to
avoiding uncertainties that arise from the formation of muonic molecules. The
capture rate from the hyperfine singlet ground state of the atom is
measured to be , from which the induced
pseudoscalar coupling of the nucleon, , is
extracted. This result is consistent with theoretical predictions for
that are based on the approximate chiral symmetry of QCD.Comment: submitted to Phys.Rev.Let
Ocean-bottom seismographs based on broadband MET sensors: architecture and deployment case study in the Arctic
The Arctic seas are now of particular interest due to their prospects in terms of hydrocarbon extraction, development of marine transport routes, etc. Thus, various geohazards, including those related to seismicity, require detailed studies, especially by instrumental methods. This paper is devoted to the ocean-bottom seismographs (OBS) based on broadband molecularβelectronic transfer (MET) sensors and a deployment case study in the Laptev Sea. The purpose of the study is to introduce the architecture of several modifications of OBS and to demonstrate their applicability in solving different tasks in the framework of seismic hazard assessment for the Arctic seas. To do this, we used the first results of several pilot deployments of the OBS developed by Shirshov Institute of Oceanology of the Russian Academy of Sciences (IO RAS) and IP Ilyinskiy A.D. in the Laptev Sea that took place in 2018β2020. We highlighted various seismological applications of OBS based on broadband MET sensors CME-4311 (60 s) and CME-4111 (120 s), including the analysis of ambient seismic noise, registering the signals of large remote earthquakes and weak local microearthquakes, and the instrumental approach of the site response assessment. The main characteristics of the broadband MET sensors and OBS architectures turned out to be suitable for obtaining high-quality OBS records under the Arctic conditions to solve seismological problems. In addition, the obtained case study results showed the prospects in a broader context, such as the possible influence of the seismotectonic factor on the bottom-up thawing of subsea permafrost and massive methane release, probably from decaying hydrates and deep geological sources. The described OBS will be actively used in further Arctic expeditions
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