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Scattering length
About: Scattering length is a research topic. Over the lifetime, 13022 publications have been published within this topic receiving 273781 citations.
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TL;DR: In this article, the atomic scattering factors for all angles of coherent scattering and at the higher photon energies are obtained from these tabulated forward-scattering values by adding a simple angle-dependent form-factor correction.
5,470 citations
TL;DR: The application of thermal neutron scattering to the study of the structure and dynamics of condensed matter requires a knowledge of the scattering lengths and the corresponding scattering and absorption cross sections of the elements as discussed by the authors.
Abstract: The application of thermal neutron scattering to the study of the structure and dynamics of condensed matter requires a knowledge of the scattering lengths and the corresponding scattering and absorption cross sections of the elements. Ln some cases, values for the individual isotopes are needed as well. This information is required to obtain an absolute normalization ofthe scatteredneutron distributions, tocalculate unit-cell structure factors in neutron crystallography, and to correct for effects such as absorption, self-shielding, extinction, multiple scattering, incoherent scattering, and detector efficiency.
3,077 citations
TL;DR: It is shown how various well-known asymptotic power laws in S(q) are obtained from the above theory, and the theory is compared with experimental results on x-ray scattering from a polished Pyrex glass surface.
Abstract: The scattering of x rays and neutrons from rough surfaces is calculated. It is split into specular reflection and diffuse scattering terms. These are calculated in the first Born approximation, and explicit expressions are given for surfaces whose roughness can be described as self-affine over finite length scales. Expressions are also given for scattering from liquid surfaces, where it is shown that ``specular'' reflections only exist by virtue of a finite length cutoff to the mean-square height fluctuations. Expressions are also given for the scattering from randomly oriented surfaces, as studied in a typical small-angle scattering experiment. It is shown how various well-known asymptotic power laws in S(q) are obtained from the above theory. The distorted-wave Born approximation is next used to treat the case where the scattering is large (e.g., near the critical angle for total external reflection), and its limits of validity are discussed. Finally, the theory is compared with experimental results on x-ray scattering from a polished Pyrex glass surface.
2,031 citations
TL;DR: In this paper, two such resonances have been observed in optically trapped Bose-Einstein condensates of sodium atoms by varying an external magnetic field, which gave rise to enhanced inelastic processes and a dispersive variation of the scattering length by a factor of over ten.
Abstract: It has long been predicted that the scattering of ultracold atoms can be altered significantly through a so-called ‘Feshbach resonance’. Two such resonances have now been observed in optically trapped Bose–Einstein condensates of sodium atoms by varying an external magnetic field. They gave rise to enhanced inelastic processes and a dispersive variation of the scattering length by a factor of over ten. These resonances open new possibilities for the study and manipulation of Bose–Einstein condensates.
1,640 citations
TL;DR: In this paper, it was shown that the derivative of the scattering phase shift with respect to energy, dn/dE, must exceed a certain limit if the interaction of scattered particle and scatterer vanishes beyond a certain distance.
Abstract: It is shown that the derivative of the scattering phase shift with respect to energy, dn/dE, must exceed a certain limit if the interaction of scattered particle and scatterer vanishes beyond a certain distance. This limitation of dn/dE is, fundamentally, a consequence of the principle of causality; it is derived, however, from a property of the derivative matrix R.
1,505 citations