3,684 research outputs found

    Electron-based crystalline undulator

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    We discuss the features of a crystalline undulator of the novel type based on the effect of a planar channeling of ultra-relativistic electrons in a periodically bent crystals. It is demonstrated that an electron-based undulator is feasible in the tens of GeV range of the beam energies, which is noticeably higher than the energy interval allowed in a positron-based undulator. Numerical analysis of the main parameters of the undulator as well as the characteristics of the emitted undulator radiation is carried out for 20 and 50 GeV electrons channeling in diamond and silicon crystals along the (111) crystallographic planes.Comment: 16 pages, 8 figures, Latex, IOP styl

    Coherent radiation of an ultra-relativistic charged particle channeled in a periodically bent crystal

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    We suggest a new type of the undulator radiation which is generated by an ultra-relativistic particle channeled along a periodically bent crystallographic plane or axis. The electromagnetic radiation arises mainly due to the bending of the particle's trajectory, which follows the shape of the channel. The parameters of this undulator, which totally define the spectrum and the angular distribution of the radiation (both spontaneous and stimulated), depend on the type of the crystal and the crystallographic plane (axis), on the type of a projectile and its energy, and on the shape of the bent channel, and, thus, can be varied significantly by varying these characteristics. As an example, we consider the acoustically induced radiation (AIR) which is generated by ultra-relativistic particles channeled in a crystal which is bent by a transverse acoustic wave. The AIR mechanism allows to make the undulator with the main parameters varying in wide ranges, which are inaccessible in the undulators based on the motion of particles in the periodic magnetic fields and also in the field of the laser radiation. The intensity of AIR can be easily made larger than the intensity of the radiation in a linear crystal and can be varied in a wide range by varying the frequency and the amplitude of the acoustic wave in the crystal. A possibility to generate stimulated emission of high-energy photons (in keV - MeV region) is also discussed.Comment: published in J. Phys. G: Nucl. Part. Phys. 24 (1998) L45-L53, http://www.iop.or

    Названия морских ΠΊΠ°Ρ€Ρ‚, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… опасностСй, ΠΏΡ€Π΅Π΄ΡƒΠΏΡ€Π΅ΠΆΠ΄Π΅Π½ΠΈΠΉ ΠΈ сигналов Π² украинском языкС

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    Бтаття ΠΏΡ€ΠΎΠ΄ΠΎΠ²ΠΆΡƒΡ” Π½ΠΈΠ·ΠΊΡƒ ΠΏΡƒΠ±Π»Ρ–ΠΊΠ°Ρ†Ρ–ΠΉ Π°Π²Ρ‚ΠΎΡ€Π°, присвячСних Π²ΠΈΠ²Ρ‡Π΅Π½Π½ΡŽ сучасної ΡƒΠΊΡ€Π°Ρ—Π½ΡΡŒΠΊΠΎΡ— Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΎ-Π³Ρ–Π΄Ρ€ΠΎΠ³Ρ€Π°Ρ„Ρ–Ρ‡Π½ΠΎΡ— Ρ‚Π΅Ρ€ΠΌΡ–Π½ΠΎΠ»ΠΎΠ³Ρ–Ρ—. Π£ статті ΠΏΡ€ΠΎΠ°Π½Π°Π»Ρ–Π·ΠΎΠ²Π°Π½ΠΎ Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π½Ρ– Π³Ρ€ΡƒΠΏΠΈ ΡƒΠΊΡ€Π°Ρ—Π½ΡΡŒΠΊΠΎΡ— Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΎ-Π³Ρ–Π΄Ρ€ΠΎΠ³Ρ€Π°Ρ„Ρ–Ρ‡Π½ΠΎΡ— лСксики Π½Π° позначСння ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… ΠΊΠ°Ρ€Ρ‚, ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΈΡ… Π½Π΅Π±Π΅Π·ΠΏΠ΅ΠΊ, ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΈΡ… ΠΏΠΎΠΏΠ΅Ρ€Π΅Π΄ΠΆΠ΅Π½ΡŒ Ρ– сигналів, окрСслСно пСрспСктиви ΠΏΠΎΠ΄Π°Π»ΡŒΡˆΠΈΡ… лінгвістичних Π΄ΠΎΡΠ»Ρ–Π΄ΠΆΠ΅Π½ΡŒ Ρ‚Π΅Ρ€ΠΌΡ–Π½ΠΎΠ»ΠΎΠ³Ρ–Ρ— Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΎ-Π³Ρ–Π΄Ρ€ΠΎΠ³Ρ€Π°Ρ„Ρ–Ρ‡Π½ΠΎΡ— Π³Π°Π»ΡƒΠ·Ρ–. Бтаття Π²Ρ–Π΄ΠΎΠ±Ρ€Π°ΠΆΠ°Ρ” Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚ΠΈ Π½Π°ΡƒΠΊΠΎΠ²ΠΎΠ³ΠΎ Π°Π½Π°Π»Ρ–Π·Ρƒ Ρ‚Π΅Ρ€ΠΌΡ–Π½Ρ–Π² Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΎΡ— Π³Ρ–Π΄Ρ€ΠΎΠ³Ρ€Π°Ρ„Ρ–Ρ— Π· погляду Ρ—Ρ…Π½ΡŒΠΎΡ— структури Ρ‚Π° сСмантики, ΠΏΠΎΠ΄Π°Ρ” лСксико-Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π½Π΅ групування слів Π½Π° позначСння ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… ΠΊΠ°Ρ€Ρ‚, ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΈΡ… Π½Π΅Π±Π΅Π·ΠΏΠ΅ΠΊ, ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΈΡ… ΠΏΠΎΠΏΠ΅Ρ€Π΅Π΄ΠΆΠ΅Π½ΡŒ Ρ– сигналів. Π£ статті Π·Ρ€ΠΎΠ±Π»Π΅Π½ΠΎ спробу Π²ΠΈΠ·Π½Π°Ρ‡ΠΈΡ‚ΠΈ сСмантичні Ρ‚Π° словотвірні особливості Ρ‚Π΅Ρ€ΠΌΡ–Π½Ρ–Π² Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΎ-Π³Ρ–Π΄Ρ€ΠΎΠ³Ρ€Π°Ρ„Ρ–Ρ‡Π½ΠΎΡ— Π³Π°Π»ΡƒΠ·Ρ–, з’ясовано класифікаційні ΠΎΠ·Π½Π°ΠΊΠΈ лСксичних Π³Ρ€ΡƒΠΏ Π½Π° позначСння ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… ΠΊΠ°Ρ€Ρ‚, ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΈΡ… Π½Π΅Π±Π΅Π·ΠΏΠ΅ΠΊ, ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΈΡ… ΠΏΠΎΠΏΠ΅Ρ€Π΅Π΄ΠΆΠ΅Π½ΡŒ Ρ– сигналів, Π²ΠΈΠΎΠΊΡ€Π΅ΠΌΠ»Π΅Π½ΠΎ ΠΉ систСматизовано Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π½Ρ– ΠΏΡ–Π΄Π³Ρ€ΡƒΠΏΠΈ ΠΉ ΠΌΡ–ΠΊΡ€ΠΎΠ³Ρ€ΡƒΠΏΠΈ, установлСно Π΄ΠΎΠΌΡ–Π½ΡƒΠ²Π°Π»ΡŒΠ½ΠΈΠΉ Ρ‚ΠΈΠΏ сСмантичних Π²Ρ–Π΄Π½ΠΎΡˆΠ΅Π½ΡŒ Ρƒ Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π½ΠΈΡ… Π³Ρ€ΡƒΠΏΠ°Ρ… Π½Π°Π·Π² ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… ΠΊΠ°Ρ€Ρ‚, ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΈΡ… Π½Π΅Π±Π΅Π·ΠΏΠ΅ΠΊ, ΠΌΠΎΡ€ΡΡŒΠΊΠΈΡ… Π½Π°Π²Ρ–Π³Π°Ρ†Ρ–ΠΉΠ½ΠΈΡ… ΠΏΠΎΠΏΠ΅Ρ€Π΅Π΄ΠΆΠ΅Π½ΡŒ Ρ– сигналів.The article continues the cycle of author’s articles, devoted to the study of the modern navigation and hydrographical terminology. The article deals with the thematic groups of the Ukrainian navigation and hydrographical vocabulary on denotation of the names of sea charts, marine dangers to navigation, marine navigational warnings and signals. Problems of consequent linguistic researches of navigation and hydrographical terminology are defined. The results of semantic and word-formation analysis of the modern navigation and hydrographical terms are represented. The classification of the vocabulary according to thematic groups on denotation of the names of sea charts, marine dangers to navigation, marine navigational warnings and signals is considered. The kernel and periphery of the modern navigation and hydrographical terminology are determined in the given article. An attempt to find out semantic and word-formation peculiarities of the navigation and hydrographical terminology is made in the article. The classification signs of the lexical groups on denotation of the names of sea charts, marine dangers to navigation, navigational warnings and signals are analyzed in the article. Thematic subgroups and microgroups are singled out. It is established that the dominating type of semantic relations in thematic groups on denotation of the names of sea charts, marine dangers to navigation, navigational warnings and signals is a hyperhiponimic relations.Π‘Ρ‚Π°Ρ‚ΡŒΡ ΠΏΡ€ΠΎΠ΄ΠΎΠ»ΠΆΠ°Π΅Ρ‚ Ρ†ΠΈΠΊΠ» ΠΏΡƒΠ±Π»ΠΈΠΊΠ°Ρ†ΠΈΠΉ Π°Π²Ρ‚ΠΎΡ€Π°, посвящённых ΠΈΠ·ΡƒΡ‡Π΅Π½ΠΈΡŽ соврСмСнной украинской Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½ΠΎ-гидрографичСской Ρ‚Π΅Ρ€ΠΌΠΈΠ½ΠΎΠ»ΠΎΠ³ΠΈΠΈ. Π’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ ΠΏΡ€ΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Π½Ρ‹ тСматичСскиС Π³Ρ€ΡƒΠΏΠΏΡ‹ украинской Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½ΠΎ-гидрографичСской лСксики Π½Π° ΠΎΠ±ΠΎΠ·Π½Π°Ρ‡Π΅Π½ΠΈΠ΅ морских ΠΊΠ°Ρ€Ρ‚, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… опасностСй, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… ΠΏΡ€Π΅Π΄ΡƒΠΏΡ€Π΅ΠΆΠ΄Π΅Π½ΠΈΠΉ ΠΈ сигналов, ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Ρ‹ пСрспСктивы Π΄Π°Π»ΡŒΠ½Π΅ΠΉΡˆΠΈΡ… лингвистичСских исслСдований Ρ‚Π΅Ρ€ΠΌΠΈΠ½ΠΎΠ»ΠΎΠ³ΠΈΠΈ Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½ΠΎ-гидрографичСской отрасли. Π‘Ρ‚Π°Ρ‚ΡŒΡ ΠΎΡ‚Ρ€Π°ΠΆΠ°Π΅Ρ‚ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ Π½Π°ΡƒΡ‡Π½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° Ρ‚Π΅Ρ€ΠΌΠΈΠ½ΠΎΠ² Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½ΠΎΠΉ Π³ΠΈΠ΄Ρ€ΠΎΠ³Ρ€Π°Ρ„ΠΈΠΈ с Ρ‚ΠΎΡ‡ΠΊΠΈ зрСния ΠΈΡ… структуры ΠΈ сСмантики, Π΄Π°Ρ‘Ρ‚ лСксико-Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΡ‡Π΅ΡΠΊΡƒΡŽ ΠΊΠ»Π°ΡΡΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΡŽ слов Π½Π° ΠΎΠ±ΠΎΠ·Π½Π°Ρ‡Π΅Π½ΠΈΠ΅ морских ΠΊΠ°Ρ€Ρ‚, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… опасностСй, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… ΠΏΡ€Π΅Π΄ΡƒΠΏΡ€Π΅ΠΆΠ΄Π΅Π½ΠΈΠΉ ΠΈ сигналов. Π’ ΡΡ‚Π°Ρ‚ΡŒΠ΅ сдСлана ΠΏΠΎΠΏΡ‹Ρ‚ΠΊΠ° ΠΎΠΏΡ€Π΅Π΄Π΅Π»ΠΈΡ‚ΡŒ сСмантичСскиС ΠΈ ΡΠ»ΠΎΠ²ΠΎΠΎΠ±Ρ€Π°Π·ΠΎΠ²Π°Ρ‚Π΅Π»ΡŒΠ½Ρ‹Π΅ особСнности Ρ‚Π΅Ρ€ΠΌΠΈΠ½ΠΎΠ² Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½ΠΎ-гидрографичСской отрасли, ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Ρ‹ классификационныС ΠΏΡ€ΠΈΠ·Π½Π°ΠΊΠΈ лСксичСских Π³Ρ€ΡƒΠΏΠΏ Π½Π° ΠΎΠ±ΠΎΠ·Π½Π°Ρ‡Π΅Π½ΠΈΠ΅ морских ΠΊΠ°Ρ€Ρ‚, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… опасностСй, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… ΠΏΡ€Π΅Π΄ΡƒΠΏΡ€Π΅ΠΆΠ΄Π΅Π½ΠΈΠΉ ΠΈ сигналов, Π²Ρ‹Π΄Π΅Π»Π΅Π½Ρ‹ ΠΈ систСматизированы тСматичСскиС ΠΏΠΎΠ΄Π³Ρ€ΡƒΠΏΠΏΡ‹ ΠΈ ΠΌΠΈΠΊΡ€ΠΎΠ³Ρ€ΡƒΠΏΠΏΡ‹, установлСн Π΄ΠΎΠΌΠΈΠ½ΠΈΡ€ΡƒΡŽΡ‰ΠΈΠΉ Ρ‚ΠΈΠΏ сСмантичСских ΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΠΉ Π² тСматичСских Π³Ρ€ΡƒΠΏΠΏΠ°Ρ… морских ΠΊΠ°Ρ€Ρ‚, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… опасностСй, морских Π½Π°Π²ΠΈΠ³Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… ΠΏΡ€Π΅Π΄ΡƒΠΏΡ€Π΅ΠΆΠ΄Π΅Π½ΠΈΠΉ ΠΈ сигналов

    The Usage of Radiointerpherometric Method Under the Execution of Highly Accurate Geodesic Tasks

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    Розглянуто Ρ‚Π΅ΠΎΡ€Π΅Ρ‚ΠΈΠΊΠΎ-ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΈΡ‡Π½Ρ– Ρ‚Π° Π½Π°ΡƒΠΊΠΎΠ²ΠΎ-ΠΏΡ€Π°ΠΊΡ‚ΠΈΡ‡Π½Ρ– аспСкти застосування ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ Ρ€Π°Π΄Ρ–ΠΎΡ–Π½Ρ‚Π΅Ρ€Ρ„Π΅Ρ€ΠΎΠΌΠ΅Ρ‚Ρ€Ρ–Ρ— Π· Π½Π°Π΄Π΄ΠΎΠ²Π³ΠΈΠΌΠΈ Π±Π°Π·Π°ΠΌΠΈ (РНДБ-ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ). ΠžΡΠΎΠ±Π»ΠΈΠ²Ρƒ ΡƒΠ²Π°Π³Ρƒ ΠΏΡ€ΠΈΠ΄Ρ–Π»Π΅Π½ΠΎ ΠΏΡ€Π°ΠΊΡ‚ΠΈΡ‡Π½ΠΈΠΌ напрямам застосування Ρ†ΡŒΠΎΠ³ΠΎ ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ. ΠžΠΊΡ€Π΅ΠΌΠΎ окрСслСно ΠΊΠΎΠ»ΠΎ ΠΏΠΈΡ‚Π°Π½ΡŒ, Ρ‰ΠΎ ΠΌΠΎΠΆΡƒΡ‚ΡŒ Π²ΠΈΡ€Ρ–ΡˆΡƒΠ²Π°Ρ‚ΠΈΡΡ Π·Π° допомогою РНДБ-ΠΌΠ΅Ρ‚ΠΎΠ΄Ρƒ, Ρ– пСрспСктиви ΠΉΠΎΠ³ΠΎ використання Π² ΠΏΡ€Π°ΠΊΡ‚ΠΈΡ†Ρ– Π³Π΅ΠΎΠ΄Π΅Π·ΠΈΡ‡Π½ΠΈΡ… Ρ‚Π° зСмлСвпорядних Ρ€ΠΎΠ±Ρ–Ρ‚.Theoretical-methodical and scientific-practical aspects of the usage of radiointerpherometric method with overlong bases (ROLB-method) are studied in this paper. Special attention is paid to practical directions of the usage of this method. The range of questions that can be solved with the help of ROLBmethod and the prospects of its usage in the practice of geodesic and land managing tasks are separated

    The physical properties of AM CVn stars: new insights from Gaia DR2

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    AM CVn binaries are hydrogen deficient compact binaries with an orbital period in the 5-65 min range and are predicted to be strong sources of persistent gravitational wave radiation. Using Gaia Data Release 2, we present the parallaxes and proper motions of 41 out of the 56 known systems. Compared to the parallax determined using the HST Fine Guidance Sensor we find that the archetype star, AM CVn, is significantly closer than previously thought. This resolves the high luminosity and mass accretion rate which models had difficulty in explaining. Using Pan-STARRS1 data we determine the absolute magnitude of the AM CVn stars. There is some evidence that donor stars have a higher mass and radius than expected for white dwarfs or that the donors are not white dwarfs. Using the distances to the known AM CVn stars we find strong evidence that a large population of AM CVn stars have still to be discovered. As this value sets the background to the gravitational wave signal of LISA, this is of wide interest. We determine the mass transfer rate for 15 AM CVn stars and find that the majority have a rate significantly greater than expected from standard models. This is further evidence that the donor star has a greater size than expected.Comment: Accepted by A&A in main journa

    Primjena nove smjese i tehnologije granulacije sirovine za proces sinterovanje ΕΎeljezne rude

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    This paper presents a new technology for preparing the mixture for iron ore sintering process. The nature of component mixing and granulation has been discussed. The application of the intensive mixer in the preparation of the process components has been shown. The results of the analysis of the sintering mixture granulation process using laboratory installation for mixing and granulation have been presented.Članak donosi nove tehnologije za primjenu smjese za sinterovanje željezne rude. Raspravljena je priroda komponenti smjese i granulacija. Prikazana je intenzivna primjena smjese u pripremnom procesu komponenti. Prikazani su, rabljenjem laboratorijske opreme za smjesu i granulaciju, rezultati analiza granulacije sinterovane smjese

    Diabetic Erythrocytes Test by Correlation Coefficient

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    Even when a healthy individual is studied, his/her erythrocytes in capillaries continually change their shape in a synchronized erratic fashion. In this work, the problem of characterizing the cell behavior is studied from the perspective of bounded correlated random walk, based on the assumption that diffractometric data involves both deterministic and stochastic components. The photometric readings are obtained by ektacytometry over several millions of shear elongated cells, using a home-made device called Erythrodeformeter. We have only a scalar signal and no governing equations; therefore the complete behavior has to be reconstructed in an artificial phase space. To analyze dynamics we used the technique of time delay coordinates suggested by Takens, May algorithm, and Fourier transform. The results suggest that on random-walk approach the samples from healthy controls exhibit significant differences from those from diabetic patients and these could allow us to claim that we have linked mathematical nonlinear tools with clinical aspects of diabetic erythrocytes’ rheological properties

    Total spectrum of photon emission by an ultra-relativistic positron channeling in a periodically bent crystal

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    We present the results of numerical calculations of the channelling and undulator radiation generated by an ultra-relativistic positron channelling along a crystal plane, which is periodically bent. The bending might be due either to the propagation of a transverse acoustic wave through the crystal, or due to the static strain as it occurs in superlattices. The periodically bent crystal serves as an undulator. We investigate the dependence of the intensities of both the ordinary channelling and the undulator radiations on the parameters of the periodically bent channel with simultaneous account for the dechannelling effect of the positrons. We demonstrate that there is a range of parameters in which the undulator radiation dominates over the channelling one and the characteristic frequencies of both types of radiation are well separated. This result is important, because the undulator radiation can be used to create a tunable source of X-ray and gamma-radiation.Comment: published in J. Phys. G: Nucl. Part. Phys. 26 (2000) L87-L95, http://www.iop.org ; 12 pages, 4 figures, LaTe

    Formalism of collective electron excitations in fullerenes

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    We present a detailed formalism for the description of collective electron excitations in fullerenes in the process of the electron inelastic scattering. Considering the system as a spherical shell of a finite width, we show that the differential cross section is defined by three plasmon excitations, namely two coupled modes of the surface plasmon and the volume plasmon. The interplay of the three plasmons appears due to the electron diffraction of the fullerene shell. Plasmon modes of different angular momenta provide dominating contributions to the differential cross section depending on the transferred momentum.Comment: 11 pages, 2 figures; submitted to the special issue "Atomic Cluster Collisions: Structure and Dynamics from the Nuclear to the Biological Scale" of Eur. Phys. J.
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