Academic literature on the topic 'Neutron scattering theories'

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Journal articles on the topic "Neutron scattering theories"

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Mansuripur, Masud. "A Tutorial on the Classical Theories of Electromagnetic Scattering and Diffraction." Nanophotonics 10, no. 1 (September 7, 2020): 315–42. http://dx.doi.org/10.1515/nanoph-2020-0348.

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AbstractStarting with Maxwell’s equations, we derive the fundamental results of the Huygens-Fresnel-Kirchhoff and Rayleigh-Sommerfeld theories of scalar diffraction and scattering. These results are then extended to cover the case of vector electromagnetic fields. The famous Sommerfeld solution to the problem of diffraction from a perfectly conducting half-plane is elaborated. Far-field scattering of plane waves from obstacles is treated in some detail, and the well-known optical cross-section theorem, which relates the scattering cross-section of an obstacle to its forward scattering amplitude, is derived. Also examined is the case of scattering from mild inhomogeneities within an otherwise homogeneous medium, where, in the first Born approximation, a fairly simple formula is found to relate the far-field scattering amplitude to the host medium’s optical properties. The related problem of neutron scattering from ferromagnetic materials is treated in the final section of the paper.
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DE BLASIO, F. V., and G. LAZZARI. "NUCLEAR EFFECTS ON SUPERFLUID NEUTRON STAR MATTER." Modern Physics Letters A 13, no. 17 (June 7, 1998): 1383–92. http://dx.doi.org/10.1142/s0217732398001443.

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In the inner crust of a neutron star, the superfluid neutron liquid shares a fraction of the volume with neutron-rich nuclei and thus cannot be considered as uniform. We find that quasi-resonant states, due to elastic scattering with the effective nuclear potential wells, can enhance the neutron density of states at the Fermi surface for some values of the energy of the incident neutron. This may locally change the pairing energy gap of the superfluid neutrons up to a factor of three to four. We then discuss the smoother change of the neutron effective matrix element induced by the presence of the nuclei considering the case in which the superfluid coherence length is larger than the nuclear sizes. The results show that the value of the pairing gap as calculated for infinite systems is not directly the one that should be expected to exist in the crust of a neutron star and we work out an approximate formula for the gap taking into account both effects. The sudden change of the neutronic superfluid gap in localized crust shells due to the nuclear quasi-resonant states can have consequences for theories of the rotational and thermal evolution of neutron stars while the smooth, continuous variation of the effective matrix element can have implications for the cooling of the star.
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Bénard, Pierre, Liang Chen, and A. M. S. Tremblay. "Neutron-scattering measurements as a test of theories of high-temperature superconductivity." Physical Review B 47, no. 1 (January 1, 1993): 589–92. http://dx.doi.org/10.1103/physrevb.47.589.

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Armstrong, Clare L., Laura Toppozini, Hannah Dies, Antonio Faraone, Michihiro Nagao, and Maikel C. Rheinstädter. "Incoherent Neutron Spin-Echo Spectroscopy as an Option to Study Long-Range Lipid Diffusion." ISRN Biophysics 2013 (March 31, 2013): 1–9. http://dx.doi.org/10.1155/2013/439758.

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Diffusion is the fundamental mechanism for lipids and other molecules to move in a membrane. It is an important process to consider in modelling the formation of membrane structures, such as rafts. Lipid diffusion is mainly studied by two different techniques: incoherent neutron scattering and fluorescence microscopy. Both techniques access distinctly different length scales. While neutron scattering measures diffusion over about 3 lipid diameters, microscopic techniques access motions of lipids over micrometer distances. The diffusion constants which are determined by these two methods often differ by about an order of magnitude, with the neutrons usually seeing a faster lipid diffusion. Different theories are used to describe lipid diffusion in the two experiments. In order to close the “gap” between these two techniques, we propose to study lipid diffusion at mesoscopic length scales using a neutron spin-echo (NSE) spectrometer. We have conducted an experiment in highly oriented, solid supported lipid bilayers to prove the feasibility of performing incoherent NSE on biological samples. Lateral lipid diffusion was measured in a fluid phase model membrane system at a length scale of 12 Å. Using the high-energy resolution of the NSE technique, we find evidence for two dynamic processes.
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Innerlohinger, Josef, Mario Villa, Matthias Baron, and Otto Glatter. "Ultra-small-angle neutron scattering from dense micrometre-sized colloidal systems: data evaluation and comparison with static light scattering." Journal of Applied Crystallography 39, no. 2 (March 12, 2006): 202–8. http://dx.doi.org/10.1107/s0021889806001592.

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Ultra-small-angle neutron scattering (USANS) probes the sameqregime as static light scattering (LS), making USANS an additional tool for the study of structures between 100 nm and 10 µm. Dense oil-in-water emulsions, which have already been characterized intensively by light scattering, are investigated in this study as a model system using USANS. The two basic problems of such scattering studies are the following: on the one hand, one has to use different scattering theories for USANS and LS, and on the other hand, in both cases one has to deal not only with particle interactions but also with multiple-scattering effects. For neutron scattering it is always possible to use the simpler Rayleigh–Debye–Gans (RDG) theory instead of the Lorenz–Mie theory, which generally describes light scattering from micrometre-sized globular objects. The samples have different contrasts in neutron and light scattering, such that only low-contrast (close to index match) LS data can be interpreted by the RDG theory. The data evaluation is performed by means of the generalized indirect Fourier transformation (GIFT) method, which enables the simultaneous calculation of the form and structure factors. The results are discussed and compared with those from light scattering experiments, taking into account the advantages of both methods. The effect of multiple scattering and its influence on data evaluation is also examined. Data evaluation by applying the GIFT method works well for both neutron and light scattering data, with results of comparable quality. The advantages of light scattering are the fast data acquisition and the large number of data points. USANS, on the other hand, covers a widerqrange and the problem of multiple scattering is not as severe as for light scattering, but still must not be neglected.
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DOSTER, W. "THE GLASS TRANSITION ANOMALIES OF MYOGLOBIN IN THE LIGHT OF MODE COUPLING THEORY." Modern Physics Letters B 05, no. 21 (September 10, 1991): 1407–14. http://dx.doi.org/10.1142/s0217984991001702.

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The physics and some predictions of recent mode coupling theories concerning the liquid to glass instability are reviewed with the scope to explore its potential to explain the dynamics of non-simple liquids. It is proposed that the dynamics scaling behaviour observed in the neutron scattering spectra of myoglobin reveal a critical temperature which is associated with the arrest of density fluctuations.
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Papoulias, D. K., and T. S. Kosmas. "Probing electromagnetic neutrino properties within the tensor non-standard neutrino-nucleus interactions." HNPS Proceedings 23 (March 8, 2019): 119. http://dx.doi.org/10.12681/hnps.1915.

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Non-standard coherent neutrino scattering off nuclei is extensively studied through realistic nuclear structure calculations performed within the framework of the quasi-particle random phase approximation (QRPA). More specifically, we focus on the accurate estimation of the number of events expected to be measured by the COHERENT experiment at the Spallation Neutron Source at Oak Ridge, as well as by the reactor neutrino experiments TEXONO and GEMMA. To this purpose our study concentrates on the relevant detector materials 20 Ne, 40 Ar, 76 Ge and 132 Xe. In this context, we obtain stringent constraints on the vector and tensor non-standard interaction parameters and examine their impact on various electromagnetic neutrino phenomena such as neutrino magnetic moments and neutrino milli-charges. Our results indicate that the aforementioned experiments offer significant prospects to probe neutrino properties predicted in theories beyond the Standard Model.
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Henning, Greg, Antoine Bacquias, Catalin Borcea, Mariam Boromiza, Roberto Capote, Philippe Dessagne, Jean-Claude Drohé, et al. "MEASUREMENT OF 182,184,186W (N, N’ γ) CROSS SECTIONS AND WHAT WE CAN LEARN FROM IT." EPJ Web of Conferences 247 (2021): 09003. http://dx.doi.org/10.1051/epjconf/202124709003.

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Today’s development of nuclear installations rely on numerical simulation for which the main input are evaluated nuclear data. Inelastic neutron scattering (n, xn) is a reaction of importance because it modifies the neutron population, the neutron energy distribution and may create new isotopes. The study of this reaction on tungsten isotopes is interesting because it is a common structural material. Additionally, tungsten isotopes are a good testing field for theories. The IPHC group started an experimental program with the GRAPhEME setup installed at the neutron beam facility GELINA to measure (n, xn γ) reaction cross sections using prompt gamma spectroscopy and neutron energy determination by time-of-flight. The obtained experimental data provide constraints on nuclear reaction mechanisms models for 182,184,186W. Indeed, to reproduce correctly the experimental (n, n’ γ) cross-sections, the reaction codes must include accurate models of the reaction mechanism, nuclear de-excitation process and use correct nuclear structure information.
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RANA, ANWAR MANZOOR, and M. IQBAL ANSARI. "PARTICLE COARSENING IN Fe(Cu) ALLOYS." Modern Physics Letters B 09, no. 06 (March 10, 1995): 343–50. http://dx.doi.org/10.1142/s0217984995000322.

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Particle coarsening behavior in Fe(Cu) alloys has been studied by electrical resistivity measurements at different ageing temperatures. Measured resistivity data for these alloys were analyzed by discussing the electrical resistivity behavior during thermal ageing and theories of diffusion-controlled coarsening of precipitates. Some important parameters such as the precipitate radius r, solute concentration C, diffusivity D, etc. were calculated and compared with the previous results obtained with Transmission Electron Microscopy (TEM) and Small Angle Neutron Scattering (SANS) techniques.
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Bramwell, Steven T. "Generalized longitudinal susceptibility for magnetic monopoles in spin ice." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370, no. 1981 (December 28, 2012): 5738–66. http://dx.doi.org/10.1098/rsta.2011.0596.

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The generalized longitudinal susceptibility χ (q, ω ) affords a sensitive measure of the spatial and temporal correlations of magnetic monopoles in spin ice. Starting with the monopole model, a mean field expression for χ (q, ω ) is derived as well as expressions for the mean square longitudinal field and induction at a point. Monopole motion is shown to be strongly correlated, and both spatial and temporal correlations are controlled by the dimensionless monopole density x which defines the ratio of the magnetization relaxation rate and the monopole hop rate. Thermal effects and spin-lattice relaxation are also considered. The derived equations are applicable in the temperature range where the Wien effect for magnetic monopoles is negligible. They are discussed in the context of existing theories of spin ice and the following experimental techniques: DC and AC magnetization, neutron scattering, neutron spin echo and longitudinal and transverse field μ SR. The monopole theory is found to unify diverse experimental results, but several discrepancies between theory and experiment are identified. One of these, concerning the neutron scattering line shape, is explained by means of a phenomenological modification to the theory.
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Dissertations / Theses on the topic "Neutron scattering theories"

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Needham, Lyn Michelle. "High energy inelastic scattering by condensed matter." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.238373.

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Pidopryhora, Yurii. "Testing the low energy theorem for spinless "proton-neutron" bremsstrahlung." Ohio : Ohio University, 2003. http://www.ohiolink.edu/etd/view.cgi?ohiou1060029614.

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Lee, Nan Young. "Polarized Compton Scattering off the Nucleon." Doctoral thesis, 2001. http://hdl.handle.net/11858/00-1735-0000-0006-B42F-F.

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Book chapters on the topic "Neutron scattering theories"

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Carlson, J., K. E. Schmidt, and M. H. Kalos. "Microscopic Calculations of Alpha-Neutron Scattering." In Condensed Matter Theories, 79–87. Boston, MA: Springer US, 1986. http://dx.doi.org/10.1007/978-1-4615-6707-3_8.

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Silver, Richard N. "Theory of Neutron Scattering Experiments on Momentum Distributions in Quantum Fluids." In Condensed Matter Theories, 131–42. Boston, MA: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0971-0_11.

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Erman, Burak, and James E. Mark. "Small-Angle Neutron Scattering." In Structures and Properties of Rubberlike Networks. Oxford University Press, 1997. http://dx.doi.org/10.1093/oso/9780195082371.003.0016.

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Small-angle neutron scattering (SANS) experiments from networks were initiated by Benoit and collaborators in the mid-1970s. Currently, SANS is an important major technique used in studying network structure and behavior. Its importance lies in its being a direct method with which observations may be made at the molecular-length scale without the need for a theoretical model for interpreting the data. This feature makes neutron scattering a valuable tool for testing various molecular theories on which current understanding of elastomeric networks is based. The general features of the technique are explained in section 14.1, followed in section 14.2 by a review of relevant experimental work. Section 14.3 then describes different theories of neutron scattering from networks, and compares them with experimental results. The technique of neutron scattering and its application to polymers in the dilute and bulk states, to blends, and to networks are described in several review articles and a book. The reader is referred to this literature for a more comprehensive understanding of the technique and the underlying theory. The neutrons incident on a sample during a typical experiment are from a nuclear reactor. Neutrons leaving the source are first collimated so that they arrive at the sample in the form of plane waves. Figure 14.1 shows such an incident neutron wave on two scattering centers i and j. After interacting with the scattering centers, the neutrons move in various directions. In a neutron scattering experiment, the intensity of the scattered neutron wave is measured as a function of the angle θ shown in the figure, in which the vectors k0 and k are the wave propagation vectors for incident and scattered neutron rays, respectively. In general, the magnitudes of k0 and k differ if there is energy change upon scattering, and in this case the scattering is called inelastic. Inelastic scattering experiments are particularly useful in studying the dynamics of a system, such as relaxation or diffusion.
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Boothroyd, Andrew T. "Kinematical Theory of Scattering." In Principles of Neutron Scattering from Condensed Matter, 73–98. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198862314.003.0003.

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The chapter introduces the kinematical theory of scattering, which is based on the Born approximation. It is shown that the neutron scattering response function can be written as the time Fourier transform of a correlation function, or intermediate scattering function. Several general properties of the correlation function are derived, and the response function is shown to satisfy the Principle of Detailed Balance. The distinction between static and dynamic correlations is explained, and their correspondence to elastic and inelastic scattering is established. The meaning of the static approximation is explained, and the link between the dynamical part of the response function and the absorptive part of the generalized susceptibility via the Fluctuation-Dissipation theorem is established. Some general sum rules are proved, and a spectral-weight function is defined. Response functions are obtained for some simple models.
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Peskin, Michael E. "Gauge Theories with Spontaneous Symmetry Breaking." In Concepts of Elementary Particle Physics, 251–64. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198812180.003.0016.

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This chapter describes theories that combine the ideas of gauge symmetry and spontaneous symmetry breaking. It explains that this combination gives rise to massive spin-1 bosons. This construction is used to propose fundamental equations for the weak interaction. The predictions of these equations for high-energy neutrino scattering are worked out and compared to experiment.
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Boothroyd, Andrew T. "Magnetic Scattering: General Properties." In Principles of Neutron Scattering from Condensed Matter, 185–212. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198862314.003.0006.

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The basic theory of magnetic scattering is presented. A response function for magnetic scattering is defined, and expressed in terms partial response functions. The relation between the partial response functions and the correlation function for components of the magnetization is obtained, and the dynamical part of the partial reponse functions is linked via the fluctuation-dissipation theorem to the absorptive part of the generalized susceptibility. It is shown how the dipole approximation can be used to simply the magnetic scattering operator for localized electrons, and the magnetic form factor is introduced. Examples of the use of the dipole magnetic form factor, as well as more general anisotropic magnetic form factors, are given. A comparison with the X-ray atomic form factor is given. Various sum rules for the magnetic response function and generalized susceptibility are obtained.
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Sethna, James P. "Correlations, response, and dissipation." In Statistical Mechanics: Entropy, Order Parameters, and Complexity, 287–320. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198865247.003.0010.

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This chapter studies how systems wiggle, and how they respond and dissipate energy when kicked. The wiggling fluctuations are described using correlation functions, the yielding and dissipation are described using susceptibilities. The intricate relations between these quantities are explored using the Onsager regression hypothesis, fluctuation--response and fluctuation--dissipation theorems, and the Kramers--Krönig relation derived from causality (the response cannot precede the kick). The powerful tools of linear response theory described here are basic tools in our exploration of materials with scattering of sound, light, X-rays, and neutrons, and have become our primary description of the behavior of materials. Exercises describe applications to noise in nanojunctions, humans on subways, magnetic spins, molecular dynamics and Ising models, liquids and magnets, materials at critical points, and fluctuations in the early Universe.
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