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Study of temporal and spectral characteristics of the X-ray emission from solar flares
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作者 Veena Choithani Rajmal Jain +3 位作者 Arun K.Awasthi Geetanjali Singh Sneha Chaudhari Som Kumar Sharma 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2018年第10期33-48,共16页
Temporal and spectral characteristics of X-ray emission from 60 flares of intensity ≥C class observed by the Solar X-ray Spectrometer (SOXS) during 2003-2011 are presented. We analyze the X-ray emission observed in... Temporal and spectral characteristics of X-ray emission from 60 flares of intensity ≥C class observed by the Solar X-ray Spectrometer (SOXS) during 2003-2011 are presented. We analyze the X-ray emission observed in four and three energy bands by the Si and Cadmium-Zinc-Telluride (CZT) detectors, respectively. The number of peaks in the intensity profile of the flares varies between 1 and 3. We find moderate correlation (R ~=0.2) between the rise time and the peak flux of the first peak of the flare irrespective of energy band, which is indicative of its energy-independent nature. Moreover, the magnetic field complexity of the flaring region is found to be highly anti-correlated (R = 0.61) with the rise time of the flares while positively correlated (R = 0.28) with the peak flux of the flare. The time delay between the peak of the X-ray emission in a given energy band and that in 25-30keV decreases with increasing energy, suggesting conduction cooling is dominant in the lower energies. Analysis of 340 spectra from 14 flares reveals that the peak of differential emission measure (DEM) evolution is delayed by 60-360 s relative to that of the temperature, and this time delay is inversely proportional to the peak flux of the flare. We conclude that temporal and intensity characteristics of flares are dependent on energy as well as the magnetic field configuration of the active region. 展开更多
关键词 SUN X-rays gamma rays - Sun magnetic fields - Sun flares - Sun CORONA
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方ray可解方程组与rayS^*-阵的图论特征 被引量:2
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作者 李琳 邵嘉裕 吴群 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2005年第4期530-534,共5页
给出了系数矩阵为方阵的复线性方程组为ray可解、非负ray可解及全非零ray可解等的图论特征刻画,得到了这些方程组的解的ray模式的图论表述.应用这些结论还给出了ray S*-阵和ray S-阵的图论特征刻画,及其他若干类特殊的复线性方程组的ra... 给出了系数矩阵为方阵的复线性方程组为ray可解、非负ray可解及全非零ray可解等的图论特征刻画,得到了这些方程组的解的ray模式的图论表述.应用这些结论还给出了ray S*-阵和ray S-阵的图论特征刻画,及其他若干类特殊的复线性方程组的ray可解性条件. 展开更多
关键词 矩阵 符号 ray模式矩阵 ray可解方程组 有向图 ray S^*-
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An algorithm to resolve γ-rays from charged cosmic rays with DAMPE 被引量:4
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作者 Zun-Lei Xu Kai-Kai Duan +18 位作者 Zhao-Qiang Shen Shi-Jun Lei Tie-Kuang Dong Fabio Gargano Simone Garrappa Dong-Ya Guo Wei Jiang Xiang Li Yun-Feng Liang Mario Nicola Mazziotta Maria Fernanda Munoz Salinas Meng Su Valerio Vagelli Qiang Yuan Chuan Yue Jing-Jing Zang Ya-Peng Zhang Yun-Long Zhang Stephan Zimmer 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2018年第3期25-36,共12页
The DArk Matter Particle Explorer(DAMPE),also known as Wukong in China,which was launched on 2015 December 17,is a new high energy cosmic ray and γ-ray satellite-borne observatory.One of the main scientific goals o... The DArk Matter Particle Explorer(DAMPE),also known as Wukong in China,which was launched on 2015 December 17,is a new high energy cosmic ray and γ-ray satellite-borne observatory.One of the main scientific goals of DAMPE is to observe Ge V-Te V high energy γ-rays with accurate energy,angular and time resolution,to indirectly search for dark matter particles and for the study of high energy astrophysics. Due to the comparatively higher fluxes of charged cosmic rays with respect to γ-rays,it is challenging to identify γ-rays with sufficiently high efficiency,minimizing the amount of charged cosmic ray contamination. In this work we present a method to identify γ-rays in DAMPE data based on Monte Carlo simulations,using the powerful electromagnetic/hadronic shower discrimination provided by the calorimeter and the veto detection of charged particles provided by the plastic scintillation detector. Monte Carlo simulations show that after this selection the number of electrons and protons that contaminate the selected γ-ray events at~10 Ge V amounts to less than 1% of the selected sample.Finally,we use flight data to verify the effectiveness of the method by highlighting known γ-ray sources in the sky and by reconstructing preliminary light curves of the Geminga pulsar. 展开更多
关键词 gamma rays general - instrumentation detectors - methods data analysis
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The Effect of Spatial Structure Character of Heat Source on the Ray Path and the Evolution of Wave Energy of Meridional Wave Train
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作者 徐祥德 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 1991年第1期87-98,共12页
This paper studies correlations between the spatial structure character of thermal forcing and deformation and the amplitude of rays of meridional wave train. It is shown that if thermal forcing appears a meridional l... This paper studies correlations between the spatial structure character of thermal forcing and deformation and the amplitude of rays of meridional wave train. It is shown that if thermal forcing appears a meridional linear variation the rays of quasi-stationary planetary wave may propagate along oblique lines and if the meridional variability of heat source has second order term the rays show distinct deformation as a great circular route. Additionally, the inhomogeneous distribution may cause lower frequency oscillations in mid- and low-latitudes. The combination of zonal and meridional wave numbers and distributive character of heat source may form an inverse mechanism of variational trend of generized wave energy, reflecting in some degree the physical process of transition between meridional and zonal flow patterns. 展开更多
关键词 The Effect of Spatial Structure character of Heat Source on the ray Path and the Evolution of Wave Energy of Meridional Wave Train PATH Wave
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On the intrinsic shape of the gamma-ray spectrum for Fermi blazars 被引量:1
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作者 Shi-Ju Kang Qingwen Wu +8 位作者 Yong-Gang Zheng Yue Yin Jia-Li Song Hang Zou Jian-Chao Feng Ai-Jun Dong Zhong-Zu Wu Zhi-Bin Zhang Lin-Hui Wu 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2018年第5期93-98,共6页
The curvature of the γ-ray spectrum in blazars may reflect the intrinsic distribution of emitting electrons, which will further give some information on the possible acceleration and cooling processes in the emitting... The curvature of the γ-ray spectrum in blazars may reflect the intrinsic distribution of emitting electrons, which will further give some information on the possible acceleration and cooling processes in the emitting region. The γ-ray spectra of Fermi blazars are normally fitted either by a single power-law(PL) or a log-normal(call Logarithmic Parabola, LP) form. The possible reason for this difference is not clear. We statistically explore this issue based on the different observational properties of 1419 Fermi blazars in the 3 LAC Clean Sample. We find that the γ-ray flux(100 Me V–100 Ge V) and variability index follow bimodal distributions for PL and LP blazars, where the γ-ray flux and variability index show a positive correlation. However, the distributions of γ-ray luminosity and redshift follow a unimodal distribution. Our results suggest that the bimodal distribution of γ-ray fluxes for LP and PL blazars may not be intrinsic and all blazars may have an intrinsically curved γ-ray spectrum, and the PL spectrum is just caused by the fitting effect due to less photons. 展开更多
关键词 GALAXIES active - galaxies jets - gamma rays galaxies - galaxies STATISTICS
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A statistical classification of the unassociated gamma-ray sources in the second Fermi Large Area Telescope Catalog 被引量:1
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作者 Zhu Mao Yun-Wei Yu 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2013年第8期952-960,共9页
With the assistance of the identified/associated sources in the second Fermi Large Area Telescope (LAT) catalog, we analyze and resolve the spatial distribution and the distributions of the gamma-ray spectral and va... With the assistance of the identified/associated sources in the second Fermi Large Area Telescope (LAT) catalog, we analyze and resolve the spatial distribution and the distributions of the gamma-ray spectral and variability indices of the remaining 575 unassociated Fermi LAT sources. Consequently, it is suggested that the unassociated sources could statistically consist of Galactic supernova remnants/pulsar wind nebulae, BL Lacertae objects, fiat spectrum radio quasars and other types of active galaxies with fractions of 25%, 29%, 41% and 5%, respectively. 展开更多
关键词 gamma rays general - catalogs - methods: statistical
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Scattering from Rough Surfaces Using the"Shooting and Bouncing Rays" Technique
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作者 Gao Huo-tao Ke Heng-yu +1 位作者 Hou Jie-chang Wu Shi-cai 《Wuhan University Journal of Natural Sciences》 EI CAS 1999年第3期319-321,共3页
The “shooting and bouncing rays” (SBR) technique is used to analyze the electromagnetic scattering characters of ocean rough surfaces varying with time. Some numerical results are presented and compared with the met... The “shooting and bouncing rays” (SBR) technique is used to analyze the electromagnetic scattering characters of ocean rough surfaces varying with time. Some numerical results are presented and compared with the method of moments, and some factors, such as the incident angle, polarization and frequency are investigated which influence on electromagnetic scattering characters of ocean rough surfaces. 展开更多
关键词 “shooting and bouncing rays technique electromagnetic scattering characters ocean rough surfaces
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Possible modulated γ-ray emission from the transitional millisecond pulsar binary PSR J1023+0038
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作者 Yi Xing Zhong-Xiang Wang Jumpei Takata 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2018年第10期109-116,共8页
We report the results from our analysis of Fermi Large Area Telescope (LAT) data for the transitional millisecond pulsar binary PSR J1023+0038. The time period of the data is nearly 9 yr, and that after the source... We report the results from our analysis of Fermi Large Area Telescope (LAT) data for the transitional millisecond pulsar binary PSR J1023+0038. The time period of the data is nearly 9 yr, and that after the source's transition, in June 2013 from the disk-free state to the active state of having an accretion disk, is approximately 4 yr. We identify a high-energy 〉5.5 GeV component in the source's spectrum in the active state, and find this component is only significantly detected in half of the orbital phase centered at the descending node (when the pulsar is moving towards the Earth). Considering the pulsar scenario proposed for multi-frequency emission from the source, in which the pulsar is still active and a cold-relativistic pulsar wind inverse-Compton scatters the photons from the accretion disk, we discuss the origin of the high-energy component. In order to explain the observed spectrum, a power-law distribution of particles, with an index of ~3, in the pulsar wind is required, while the orbital variations are possibly due to changes in power-law index as a function of orbital phase. 展开更多
关键词 gamma rays stars - binaries eclipsing - stars NEUTRON
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Searching forγ-ray counterparts to very faint X-ray transient neutron star binaries
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作者 Ge-Ge Wang Zhong-Xiang Wang 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2018年第9期47-52,共6页
Very faint X-ray transients (VFXTs) are a group of X-ray binaries with low luminosities, displaying peak X-ray luminosities during their outbursts of only 1034-1036 erg s^-1. Using γ-ray data obtained with the Larg... Very faint X-ray transients (VFXTs) are a group of X-ray binaries with low luminosities, displaying peak X-ray luminosities during their outbursts of only 1034-1036 erg s^-1. Using γ-ray data obtained with the Large Area Telescope (LAT) onboard the Fermi Gamma-Ray Space Telescope (Fermi), we investigate their possible nature of containing rotation-powered pulsars, or more specifically being transitional millisecond pulsars (MSPs). Among more than 40 known VFXTs, we select 12 neutron star systems. We analyze the LAT data for the fields of 12 VFXTs in the energy range 0.2-300GeV, but do not find any counterparts likely detected by Fermi. We obtain luminosity upper limits for the 12 sources. While the distances to the sources are largely uncertain, the upper limits are comparable to the luminosities of two transitional systems, PSR J1023-0038 and XSS J12270-4859. From our study, we conclude that no evidence is found at γ-rays for the suggestion that some VFXTs could contain rotation-powered MSPs (or be transitional MSP systems). 展开更多
关键词 STARS pulsars - stars binaries - gamma rays STARS
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Possible Contribution of Mature γ-ray Pulsars to Cosmic-ray Positrons
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作者 Quan-Gui Gao Ze-Jun Jiang Li Zhang 《Chinese Journal of Astronomy and Astrophysics》 CSCD 2008年第1期87-95,共9页
We restudy the possible contribution of mature gamma-ray pulsars to cosmic ray positrons based on the new version of outer gap model. In this model, the inclination angle and average properties of the outer gap are ta... We restudy the possible contribution of mature gamma-ray pulsars to cosmic ray positrons based on the new version of outer gap model. In this model, the inclination angle and average properties of the outer gap are taken into account, and more mature pulsars can have the outer gap and emit high energy photons. Half of the primary particles in the outer gaps will flow back toward the star surface and emit synchrotron photons, which can produce electron/positron pairs by the cascade of pair production. Some of these pairs will escape from the light cylinder and be accelerated to relativistic energies in the pulsar wind driven by low-frequency electromagnetic waves. Using a Monte Carlo method, we obtain a sample of mature gamma-ray pulsars and then calculate the production of the positrons from these pulsars. The observed excess of cosmic positrons can be well explained by this model. 展开更多
关键词 stars PULSARS general - acceleration of particles - ISM cosmic rays
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Ring-Shaped Jets in Gamma-Ray Bursts
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作者 Ming Xu Yong-Feng Huang Si-Wei Kong 《Chinese Journal of Astronomy and Astrophysics》 CSCD 2008年第4期411-420,共10页
When the axis of a gamma-ray burst (GRB) does not coincide with the spin axis of its source, there may result a ring-shaped jet. Using some refined jet dynamics, we calculate multi-wavelength afterglow light curves ... When the axis of a gamma-ray burst (GRB) does not coincide with the spin axis of its source, there may result a ring-shaped jet. Using some refined jet dynamics, we calculate multi-wavelength afterglow light curves for such ring-shaped jets. In the R-band we find an obvious break in the afterglow light curve due to the beaming effect and the break is affected by many parameters, such as the electron energy fraction ζe, the magnetic energy fraction ζB^2, the width of ring △θ and the medium number density n. The overall light curve can be divided into three power-law stages, i.e., an ultra-relativistic stage, an after-break stage and a deep Newtonian stage. For each stage the power-law index is larger in the ring-shaped jet than in the corresponding conical jet. 展开更多
关键词 gamma rays bursts - ISM jets and outflows
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Gamma-ray Bursts: a Probe of Black Holes
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作者 Wei Wang and Yong-Heng Zhao National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012 《Chinese Journal of Astronomy and Astrophysics》 CSCD 北大核心 2001年第6期487-493,共7页
There is strong evidence for the existence of black holes (BHs) in some X-ray binaries and in most galactic nuclei based on different types of measurement, but black holes have not been definitely identified for the l... There is strong evidence for the existence of black holes (BHs) in some X-ray binaries and in most galactic nuclei based on different types of measurement, but black holes have not been definitely identified for the lack of very firm observational evidence up to now. Because direct evidence for BHs should come from determination of strong gravitational redshift, we expect an object can fall into the region near the BH horizon where radiation can be detected. Therefore the object must be a compact star such as a neutron star (NS), and intense astrophysical processes will release highly energetic radiation that is transient and fast-varying. These characteristics may point to the observed gamma-ray bursts (GRBs). Recent observations of iron lines suggest that afterglows of GRBs show properties similar to those observed in active galactic nuclei (AGNs), implying that the GRBs may originate from intense events related to black holes. A model for GRBs and after-glows is proposed here to obtain the range of gravitational redshifts (zg) of GRBs with known cosmological redshifts. Here, we provide a new method that, with a search for high-energy emission lines (X- or -γ-rays) in GRBs, one can determine the gravitational redshift. We expect zg to be 0.5 or even larger, so we can rule out the possibility of other compact objects such as NSs, and identify the central progenitors of GRBs as black holes. 展开更多
关键词 black hole physics - accretion accretion disks - gamma rays: burst
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BACKGROUND RECTIFICATION AND FEATURE EXTRACTION OF IMAGE IN A SPOT WELD OF AL ALLOY X-RAY DETECTION
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作者 T.Gang J.Zhang M.B.Zhang and F.X.Liu (1)AWPT National Key.,HIT,Harbin 15001,China 2)State 159 Factory,China) 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2000年第1期75-79,共5页
A primary study on Processing in X - ray inspection of spot weld for aluminum alloy spot welding,in- cluding for background simulation,acquisition of ideal binary image, and extraction and identifi- cation of defec... A primary study on Processing in X - ray inspection of spot weld for aluminum alloy spot welding,in- cluding for background simulation,acquisition of ideal binary image, and extraction and identifi- cation of defect features was presented. 展开更多
关键词 X - ray detection image processing spot weld aluminium alloy
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Time-resolved spectral analysis of prompt emission from long gamma-ray bursts with GeV emission
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作者 Arikkala Raghurama Rao Rupal Basak +4 位作者 Jishnu Bhattacharya Sarthak Chandra Nikunj Maheshwari Manojendu Choudhury Ranjeev Misra 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2014年第1期35-46,共12页
We performed detailed time-resolved spectroscopy of bright tong gamma- ray bursts (GRBs) which show significant GeV emissions (GRB 080916C, GRB 090902B and GRB 090926A). In addition to the standard Band model, we ... We performed detailed time-resolved spectroscopy of bright tong gamma- ray bursts (GRBs) which show significant GeV emissions (GRB 080916C, GRB 090902B and GRB 090926A). In addition to the standard Band model, we also use a model consisting of a black body and a power law to fit the spectra. We find that for the latter model there are indications of an additional soft component in the spectra. While previous studies have shown that such models are required for GRB 090902B, here we find that a composite spectral model consisting of two blackbodies and a power law adequately fits the data of all the three bright GRBs. We investigate the evolution of the spectral parameters and find several interesting features that appear in all three GRBs, like (a) temperatures of the blackbodies are strongly correlated with each other, (b) fluxes in the black body components are strongly correlated with each other, (c) the temperatures of the black body trace the profile of the individual pulses of the GRBs, and (d) the characteristics of power law components like the spectral index and the delayed onset bear a close similarity to the emission characteristics in the GeV regions. We discuss the implications of these results and the possibility of identifying the radiation mechanisms during the prompt emission of GRBs. 展开更多
关键词 gamma rays bursts - gamma rays observations - methods: data analysis
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Gamma-ray Emission from the γ-ray-loud BL Lac Objects
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作者 Guang-ZhongXie Ben-ZhongDai +1 位作者 En-WeiLiang Zhao-HuaXie 《Chinese Journal of Astronomy and Astrophysics》 CSCD 北大核心 2001年第6期494-500,共7页
Using the HST observation data of BL Lac objects by Urry et al. and γ-ray observation data, we find that there is a correlation between Fγ and Fonuclei forγ-ray-loud BL Lac objects (correlation coefficients: 7γ=0.... Using the HST observation data of BL Lac objects by Urry et al. and γ-ray observation data, we find that there is a correlation between Fγ and Fonuclei forγ-ray-loud BL Lac objects (correlation coefficients: 7γ=0.63,p = 4.0 × 10-2), but no correlation between Fγ and Fohost, where Fonuclei and Fohost are the fluxes of nuclei and host galaxy in V-band. For 19γ-ray-loud BL Lac objects with observed spectral index in multi-wavebands, the spectral index correlations between any two bands are as follow: (1) there is a strong correlation between aγ and aK for 15 BL Lac objects(γ = 0.84,p = 3.11 × 10-4); (2) the correlation between aγ and ao for 12 BL Lac objects isγ = 0.82, p = 1.5 × 10-3; (3) there is no correlation between a7 and ax for 16 BL Lac objects. The results, together with characteristic double-humped shape of their SEDs, show that the synchrotron self-Compton mechanism might be a main mechanism for theγ-ray emission of the BL Lac objects. The electrons emitting JR and optical radiation via synchrotron are also responsible for upscattering these photons toγ-rays, and a variability in IR-optical regime should be accompanied by a change in theγ-rays. 展开更多
关键词 gamma rays - BL Lacertae objects: general
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The Relationship between the Rise Width and the Full Width of γ-ray Burst Pulses and Its Implications
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作者 Rui-Jing Lu Yi-Ping Qin Ting-Feng Yi 《Chinese Journal of Astronomy and Astrophysics》 CSCD 2006年第1期52-60,共9页
We investigate the relationship between the rise width and the full width of gamma-ray burst pulses. Theoretical analysis shows that either width is proportional to Г^-2△τθ,FWHMRc/c(Г the Lorentz factor of the b... We investigate the relationship between the rise width and the full width of gamma-ray burst pulses. Theoretical analysis shows that either width is proportional to Г^-2△τθ,FWHMRc/c(Г the Lorentz factor of the bulk motion, △τθ,FWHM a local pulse's width, Rc the radius of fireballs and c the velocity of light). We study the relationship for four samples of observed pulses. We find: (1) merely the curvature effect could reproduce the relationship between the rise and full widths with the same slope as derived from the model of Qin et al.; (2) gamma-ray burst pulses, selected from both the short and long GRBs, follow the same sequence in the rise width vs. full width diagram, with the shorter pulses at one end; (3) all GRBs may intrinsically result from local Gaussian pulses. These features place constraints on the physical mechanism(s) for producing long and short GRBs. 展开更多
关键词 gamma rays bursts - gamma rays theory methods: data analysis
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On the Evolution of the Apparent Size of Gamma-Ray Burst Remnants
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作者 Ting-Ting Gao Yong-Feng Huang 《Chinese Journal of Astronomy and Astrophysics》 CSCD 2006年第3期305-311,共7页
The remnants of two gamma-ray bursts, GRB 030329 and GRB 041227, have been resolved by Very Long Baseline Interferometry observations. The radio counterparts were observed to expand with time. These observations provi... The remnants of two gamma-ray bursts, GRB 030329 and GRB 041227, have been resolved by Very Long Baseline Interferometry observations. The radio counterparts were observed to expand with time. These observations provide an important way to test the dynamics of the standard fireball model. We show that the observed size evolution of these two events cannot be explained by a simple jet model, rather, it can be satisfactorily explained by the two-component jet model. It strongly hints that gamma-ray burst ejecta may have complicated structures. 展开更多
关键词 gamma rays bursts - ISM: jets and outflows
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1,4-二苯基-6-苯基氨基-1,3,5-三嗪-2(1H)-硫酮的合成与晶体结构
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作者 朱晓彤 张荣丽 +2 位作者 刘永民 徐洲 姜波 《徐州医学院学报》 CAS 2013年第3期151-154,共4页
目的研究1,4-二苯基-6-苯基氨基-1,3,5-三嗪-2(1H)-硫酮(分子式C2,H16N4S,相对分子质量356.44)的合成方法和其单晶结构。方法先将一定量的苄脒、氢氧化钠和N,N-二甲基甲酰胺(DMF)混合放入10ml反应器中搅拌10min,然后将一... 目的研究1,4-二苯基-6-苯基氨基-1,3,5-三嗪-2(1H)-硫酮(分子式C2,H16N4S,相对分子质量356.44)的合成方法和其单晶结构。方法先将一定量的苄脒、氢氧化钠和N,N-二甲基甲酰胺(DMF)混合放入10ml反应器中搅拌10min,然后将一定量的苯基异硫氰酸酯加入反应器中,预搅拌20S后,在110℃温度下微波辐射(MWI)15min,高产率得到目标化合物。化合物的结构通过核磁共振氢谱(^1HNMR)、红外光谱(IR)和高分辨率气相色谱质谱(HRMS)验证,并通过X—ray单晶衍射进一步确定了产物的结构。结果合成的标题化合物C21H16N4S结构通过单晶X射线衍射分析确定,单斜晶系,空间群C2/c,a=22.94(2),b=9.5092(15),c=22.027(2)A,d=90°,D=110.473(2)°,^γ=90°,R=0.0465andwR:0.0758。分子中新形成的1,3,5-三嗪-2(1H)-硫酮环是个平面结构;它与相邻的苯环接近于共平面,二者的二面角为7.36(0.17);而它与相邻的N一取代苯环近似于垂直,二者的二面角为85.31(0.13)。结论提供了一种1,3,5-三嗪衍生物的绿色合成方法,并经过单晶衍生确定了其分子结构及分子结构中各个六员环之间的关系。 展开更多
关键词 1 3 5-三嗪衍生物 合成 微波辐射 X—ray单晶衍射
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一类含有3n个非零元的谱任意ray模式
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作者 霍英杰 乔晓玲 邵燕灵 《中北大学学报(自然科学版)》 北大核心 2017年第2期114-118,共5页
利用矩阵特征值理论,研究了一类含有3n个非零元的n阶ray模式矩阵.在该ray模式矩阵的定性矩阵类中任取一个n阶复矩阵,求出该复矩阵的特征多项式,利用数学分析的方法,找到该复矩阵为幂零矩阵的条件,再运用幂零-雅可比方法,证明了该类ray... 利用矩阵特征值理论,研究了一类含有3n个非零元的n阶ray模式矩阵.在该ray模式矩阵的定性矩阵类中任取一个n阶复矩阵,求出该复矩阵的特征多项式,利用数学分析的方法,找到该复矩阵为幂零矩阵的条件,再运用幂零-雅可比方法,证明了该类ray模式矩阵及其任意母模式都是谱任意的. 展开更多
关键词 幂零-雅可比 ray模式 谱任意 蕴含幂零
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一类非零元个数最少的谱任意Ray模式
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作者 邓将武 刘月 《福州大学学报(自然科学版)》 CAS 北大核心 2018年第5期613-619,共7页
针对谱任意问题的研究情况,找到了一个新的非零元个数最少的谱任意Ray模式矩阵,并且用幂零-中心化方法证明了该Ray模式矩阵是谱任意的.
关键词 ray模式 幂零-中心化方法 谱任意
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