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Improved calculation of total scattering cross sections in the glory region

Author

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  • Mason, E.A.
  • Nyeland, C.
  • Van Den Biesen, J.J.H.
  • Van Den Meijdenberg, C.J.N.

Abstract

The usual formula for the decomposition of the total scattering cross section into a slowly-varying average part plus an undulating glory part is not accurate enough for the analysis of recent experiments. A modified uniform approximation is used to derive an improved formula for the undulations. The correction depends on the shape of the potential well, and can be determined experimentally. An improved method for calculating the slowly-varying part is also suggested, and is used to discuss the interparticle distance probed by the measurements. Numerical examples are given for several potentials, and comparisons are made with detailed JWKB phase-shift calculations of the cross section.

Suggested Citation

  • Mason, E.A. & Nyeland, C. & Van Den Biesen, J.J.H. & Van Den Meijdenberg, C.J.N., 1982. "Improved calculation of total scattering cross sections in the glory region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 133-154.
    • Handle: RePEc:eee:phsmap:v:116:y:1982:i:1:p:133-154
    DOI: 10.1016/0378-4371(82)90234-5
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    1. A. M. McDowell, 1956. "The Economic Impact of Technology on Strawberries," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 38(5), pages 1785-1795.
    2. Borchardt Knut & Münnich Frank E. & Andel Norbert & Bohnet Michael & Hemmer Hans-Rimbert & Wagner Adolf & Bordiardt Knut & Born Karl Erich, 1970. "Einzelbesprechungen Hans-Rimbert Hemmer," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 184(6), pages 557-568, May.
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    1. Mason, E.A. & van den Meijdenberg, C.J.N., 1983. "On the direct inversion of total scattering cross sections in the glory region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(1), pages 139-159.
    2. Mason, E.A. & Hermans, R.M. & Van Den Meijdenberg, C.J.N., 1983. "On the direct inversion of total scattering cross sections beyond the glory region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(1), pages 160-170.
    3. van den Biesen, J.J.H. & van den Meijdenberg, C.J.N., 1982. "Relation between total cross section data and the interaction potential; A comparison with closely connected data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 375-395.

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