Academic literature on the topic 'MHV scattering amplitudes'

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Journal articles on the topic "MHV scattering amplitudes"

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Wu, Jun-Bao, and Chuan-Jie Zhu. "MHV Vertices and Scattering Amplitudes in Gauge Theory." Journal of High Energy Physics 2004, no. 07 (July 16, 2004): 032. http://dx.doi.org/10.1088/1126-6708/2004/07/032.

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ANTONIADIS, IGNATIOS, and GEORGE SAVVIDY. "CONFORMAL INVARIANCE OF TENSOR BOSON TREE AMPLITUDES." Modern Physics Letters A 27, no. 18 (June 14, 2012): 1250103. http://dx.doi.org/10.1142/s0217732312501039.

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The BCFW recursion relation allows to find out the tree-level scattering amplitudes for gluons and tensor gauge bosons in generalized Yang–Mills theory. We demonstrate that the corresponding MHV amplitudes for the tensor gauge bosons of spin-s and n gluons are invariant under conformal group of transformations. This is highly unexpected result for the higher-spin particles, in particular this is not true for the scattering amplitudes of gravitons. We discuss and compare the tree-level scattering amplitudes for the charged tensor bosons with the corresponding scattering amplitudes for gravitons, stressing their differences and similarities.
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GEORGIOU, GEORGE, and GEORGE SAVVIDY. "PRODUCTION OF NON-ABELIAN TENSOR GAUGE BOSONS TREE AMPLITUDES AND BCFW RECURSION RELATION." International Journal of Modern Physics A 26, no. 15 (June 20, 2011): 2537–55. http://dx.doi.org/10.1142/s0217751x1105350x.

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The BCFW recursion relation is used to calculate tree-level scattering amplitudes in generalized Yang–Mills theory and, in particular, four-particle amplitudes for the production rate of non-Abelian tensor gauge bosons of arbitrary high spin in the fusion of two gluons. The consistency of the calculations in different kinematical channels is fulfilled when all dimensionless cubic coupling constants between vector bosons and high spin non-Abelian tensor gauge bosons are equal to the Yang–Mills coupling constant. We derive a generalization of the Parke–Taylor formula in the case of production of two tensor gauge bosons of spin-s and N gluons (jets). The expression is holomorphic in the spinor variables of the scattered particles, exactly as the MHV gluon amplitude is, and reduces to the gluonic MHV amplitude when s = 1.
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Wu, Jun-Bao, and Chuan-Jie Zhu. "MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos." Journal of High Energy Physics 2004, no. 09 (September 29, 2004): 063. http://dx.doi.org/10.1088/1126-6708/2004/09/063.

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KIM, YONG JOO, and MOON HOE CHA. "COULOMB-MODIFIED EIKONAL MODEL ANALYSIS OF REFRACTIVE12C+12CELASTIC SCATTERING AT Elab= 240 AND 360MeV." International Journal of Modern Physics E 11, no. 03 (June 2002): 211–19. http://dx.doi.org/10.1142/s0218301302000764.

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We present the Coulomb-modified eikonal model by using a tangential velocity at the distance of closest approach. The Fraunhöfer oscillations observed in the elastic angular distributions of the12C +12C system at Elab= 240 and 360 MeV can be explained due to the strong interference between the near- and far-side scattering amplitudes. We have found that the strongly real and weakly imaginary potentials are required to describe the refractive12C +12C elastic scatterings at Elab= 240 and 360 MeV. The refractive pattern, dominated by the far-side component of the scattering amplitude, can be shown to be sensitive to the real part of optical potential at small radius. Introducing the tangential velocity, it is shown that the Coulomb-modified eikonal model satisfactorily reproduces experimental data concerning the refractive pattern in the angular distributions of the12C +12C system at Elab= 240 and 360 MeV.
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YAHYA, G. A. "DEFORMED OPTICAL POTENTIAL ANALYSES FOR P+12C." International Journal of Modern Physics E 13, no. 04 (August 2004): 851–66. http://dx.doi.org/10.1142/s0218301304002508.

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The high energy single folding optical potential approximation is studied to calculate the differential cross-section for proton elastic scattering of 12 C at 156 MeV and 1440 MeV and 12 C for state 2+ (4.44 MeV) at 1440 MeV. A Gaussian nuclear density distribution was used for the proton and Gaussian and Brink nuclear density distributions for the 12 C target. We used the following three effects to derive twelve different methods for the central optical potential: (i) Love and Franey and the Gaussian amplitudes, with the Brink and one-term Gaussian nuclear density distributions, (ii) Pauli correlation in the Gaussian amplitude with these densities, (iii) coupling channels on the differential cross-sections in proton elastic scattering of 12 C at 1440 MeV with single channel calculations using these amplitudes, nuclear density distributions and Pauli correlation in the Gaussian amplitude. A new numerical technique was performed to solve the deformed optical potential equations using computational programs.
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KHAN, Z. A., DEEKSHA CHAUHAN, and MINITA SINGH. "ANALYSIS OF p-4, 6, 8He AND p-6, 9, 11Li SCATTERING." International Journal of Modern Physics E 22, no. 11 (November 2013): 1350082. http://dx.doi.org/10.1142/s0218301313500821.

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Using the Coulomb modified Glauber model, we analyze the elastic scattering of protons from He and Li isotopes at 60 MeV and 72 MeV. The calculations require two inputs; the nucleon–nucleon (NN) amplitude and the nucleon density distributions in target nuclei. The central part of the NN amplitude is taken from the available NN scattering observables. To find the spin-dependent part, we employ p-4 He scattering data to fix its parameter values. For target nuclei, we use nucleon density distributions available in the literature. The NN amplitude, as obtained in this work, is then used to study the sensitivity of the calculated differential cross-section and polarization for p-6, 8 He scattering on the density distributions used. It is found that both the differential cross-section and polarization could provide a test to know which is the better choice of nucleon (especially neutron) density distributions. We also present the differential cross-sections for p-6, 9, 11 Li scattering at 60 MeV and 72 MeV in order to assess the suitability of the obtained NN amplitude. It is found that the results are in reasonable agreement with the experiment up to only moderate scattering angles, leaving significant discrepancy at large scattering angles. Our calculations suggest the need of medium modifications in the NN amplitude, arising due to Pauli blocking.
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Niskanen, J. A. "THE FORWARD AMPLITUDE IN LOW ENERGY $P\bar P$ SCATTERING." Modern Physics Letters A 03, no. 01 (January 1988): 57–64. http://dx.doi.org/10.1142/s021773238800009x.

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It is shown that the abrupt rise of around 200 MeV/c in the real-to-imaginary ratio ρ of the forward scattering amplitude in low energy [Formula: see text] scattering is not due to the [Formula: see text] threshold or approximations in the treatment of the coulomb nuclear interference. The latter breaks down below Plab≈100 MeV/c. The possibility of a potential resonance is discussed.
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Bartels, J., L. N. Lipatov, and A. Prygarin. "MHV amplitude for 3→3 gluon scattering in Regge limit." Physics Letters B 705, no. 5 (November 2011): 507–12. http://dx.doi.org/10.1016/j.physletb.2011.09.061.

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KIM, YONG JOO, and MOON HOE CHA. "COULOMB-MODIFIED EIKONAL PHASE SHIFT ANALYSIS BASED ON HYPERBOLIC TRAJECTORY FOR 12C + 12C ELASTIC SCATTERINGS." International Journal of Modern Physics E 13, no. 02 (April 2004): 439–50. http://dx.doi.org/10.1142/s0218301304002296.

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We present a Coulomb-modified eikonal model formalism based on hyperbolic trajectory for heavy-ion elastic scattering. This formalism has been applied satisfactorily to elastic scatterings of the 12 C + 12 C system at E lab =240, 360 and 1016 MeV. The presence of a nuclear rainbow in this system is evidenced through a classical deflection function. The Fraunhöfer oscillations observed in the elastic angular distributions can be explained due to interference between the near- and far-side amplitudes. We have found that the hyperbolic trajectory effect on the eikonal model is important when the absorptive potential is weak and the real potential is strong.
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Dissertations / Theses on the topic "MHV scattering amplitudes"

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Lize, Matheus Loss. "Scattering amplitudes using twistor strings." São Paulo, 2017. http://hdl.handle.net/11449/154417.

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Orientador: Nathan Jacob Berkovits
Banca: Andrey Yuryevich Mikhaylov
Banca: Diego Trancanelli
Resumo: Neste trabalho revisamos as amplitudes de MHV no contexto da teoria de super-Yang-Mills. Nós estudamos as simetrias das amplitudes de MHV no espaço de twistors como uma motivação para introduzir a teoria de cordas com twistors . A teoria de cordas com twistors feita por Nathan Berkovits [3] é revisada e uma fórmula geral é dada para calcular amplitudes de espalhamento com n gluons. No final, a partir desta fórmula deduzimos a amplitude de MHV
Abstract In this work we review the maximal helicity violating (MHV) scattering amplitude in the context of super-Yang-Mills theory. We study the symmetries of the MHV amplitude in the twistor space as a motivation to introduce the twistor string theory. The twistor string action introduced by Nathan Berkovits [3] is reviewed and also a general formula is given for the scattering amplitude with n gluons. In the end, the MHV amplitude is derived from this formula
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RATTI, CARLOALBERTO. "Topics in sym theories: * Ads/CFT & Mesonic Spectra ** Superspace & Scattering Amplitudes." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2010. http://hdl.handle.net/10281/11607.

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In this thesis two different topics in SYM theories are investigated. In the first part we use the AdS/CFT correspondence to study the problem of flavor symmetry for theories that are marginal deformations of the maximal SYM theory. In particular, we compute exactly the masses of the mesons of these theories. The results show that the mass spectrum is discrete, with a mass gap and a Zeeman-like splitting of the mass levels occurs. In the second part of the thesis, we develop a direct computational technique for scattering amplitudes in SYM theories. A combined use of background field method, superspace technologies and new pc programs makes a Feynman diagrammatic approach available. We apply this technique to compute the full two-loop MHV effective action of the maximal SYM theory. From there we move towards the extraction of the four point MHV scattering amplitude.
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Book chapters on the topic "MHV scattering amplitudes"

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Bullimore, Mathew Richard. "Amplitudes and MHV Diagrams." In Scattering Amplitudes and Wilson Loops in Twistor Space, 25–46. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00909-4_3.

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Conference papers on the topic "MHV scattering amplitudes"

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Zhou, Shuoming, Chunhua Xie, Shiyin Zhao, Hanli Liu, Libo He, Shoko Nioka, and Britton Chance. "Electro-Optical Scanner Using Phased Array Optical Systems." In Advances in Optical Imaging and Photon Migration. Washington, D.C.: Optica Publishing Group, 1996. http://dx.doi.org/10.1364/aoipm.1996.mt130.

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The problem of obtaining the precise localization of a hidden absorber in a highly scattering medium of large dimension has confronted the scientific community for a number of years. Optical methods can also use contrast agents and can identify a line from the tissue surface, including the localized contrast agent and hence the tumor. Localization of absorbers/fluorochromes deep within a highly scattering large body of tissue such as the human breast can be effected most precisely by photon diffusive waves (Yodh, physical Review) that are not only amplitude modulated in the MHz region. If they consist of paired sources or detector, in-phase and anti-phase signal can be obtained to establish a null plane (Ref 1,2,3). Such a null plane is highly sensitive to perturbations by extremely small objects, of the order of the size of 70 microliters volume and containing as little as 20 picamole of an absorber. The null plane afforded by the in phase and out of phase cancellation diffusive wave is extremely narrow, and displacements of the array with respect to the hidden absorber of a fraction of a millimeter can be detected. Previous work has shown that the multiple source array consisting of portion of laser diode modulated at 200Mhz (50Mhz) RF signal 180 degree out of phase with the rest of the array gives a sharp phase transition and amplitude null plane. This plane provides a sensitive way for the detection of heterogeneity, and thereby may be used for the localization of small tumors within the human tissue. In order to enlarge the search field for phased array, the amplitude of the RF(200Mhz or 50 MHz) is modulated' by a second lower frequency signal(60 Hz),the phase transition plane moves back and forth in the certain region at the lower frequency. That is the principle of electronic scanning of the phased array. With this technology, we can make a real-time display of the line sight, which can goide the needle to the tumor in the surgeon's biopsy operation. In this paper, we will present the work for the localization of object in media using the phased array scanning.
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Mitra, P., and A. Z. Genack. "Phase-resolved resonance scattering and emission in iodine vapor." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1985. http://dx.doi.org/10.1364/oam.1985.ft3.

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We address the distinction between resonance Raman scattering and fluorescence as the excitation source is continuously tuned through resonance. The experiments are performed in iodine vapor using a cw laser, whose intensity is electrooptically modulated in the 0.1-50-MHz frequency range. A lock-in amplifier is used to detect both the in-phase and out-of-phase response of the emission. The modulated signal is found to be the sum of two components. One component varies with angular modulation frequency ω, as (1 + ω2τ2)-1/2, where τ is the lifetime of the excited state. The other is found to be flat within the range of modulation frequency used in the experiment. Since the results of the modulation experiment are the Fourier transform of the response to pulsed excitation, the first component corresponds to exponential decay with the fluorescence lifetime and the second corresponds to a prompt response. A density matrix calculation shows that the prompt response would be absent if the absorption were independent of laser frequency. It exists as a result of the finite inhomogeneous linewidth and the laser detuning from the center of the transition. The amplitude of the delayed and prompt components is a function of laser frequency. This gives a full description of the dynamical response to the emission to linear excitation as the laser is tuned continuously through resonance. The response of the sample to nonlinear excitation is also discussed.
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Nargund, Shrikant. "Evaluation of Stress Wave Attenuation in a Polymer Matrix Composite Using Finite Element Analysis Technique." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-67055.

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The dynamic behavior of polymer composites is significantly affected by the properties of their micro constituents including shape and size of inclusions and inclusions/matrix adhesion properties. Wave propagation through such a composite is a complex phenomenon as it includes random scattering, absorption and transmittance of the incident wave and is dependent upon factors such as the properties, size and placement of the inclusions inside the matrix. Finite element modeling provides a viable approach for investigating the effects of micro constituent structure on the dynamic behavior of polymer composites. In this paper, we investigate the stress wave attenuation characteristics of a particulate polymer matrix composite using Finite Element (FE) analysis approach. The wave attenuation of ultrasonic sinusoidal waves of frequency ranging from 1 MHz to 4 MHz is evaluated for different FE models. The spherical inclusions are randomly distributed inside the polymer matrix with a certain minimum distance apart from each other. Inclusion-Matrix adhesion properties are studied by modeling a small region at the interface of inclusions and matrix known as interphase region. The interphase region is modeled explicitly using the cohesive zone modeling approach to study how the properties of this region will affect the wave attenuation characteristics of the polymer composite. Cohesive zone models are governed by traction separation law which helps in the measurement of the inclusion-matrix bonding strength and also allow the study of de-bonding at the interface in the critically stressed region produced due application of load. Thus the FE models consist of three phases; polymer matrix, particulate inclusions and the interphase region. Various three dimensional FE models are created using 3D tetrahedral/hexahedral elements by varying the radius of the spherical inclusions and by varying volume fraction of the inclusions. The analyses are performed using a general purpose finite element software LS-Dyna. A rate dependent viscoelastic material model with four terms in prony series expansion is used for modeling the polymer matrix. A linear elastic isotropic material model is used for modeling the inclusions. The wave attenuation is measured as reduction in the amplitude of the wave as it passes through the composite. A comparison of results for various models is done to check for general trend of attenuation coefficient as a function of size of inclusions, volume fraction of inclusions, frequency of loading and interphase region properties. Results show that volume fraction and load frequency have a maximum effect on the wave attenuation coefficient. Interphase region stiffness and interface de-bonding also plays an important role in attenuation characteristics of the polymer composite.
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