IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v117y1983i1p139-159.html
   My bibliography  Save this article

On the direct inversion of total scattering cross sections in the glory region

Author

Listed:
  • Mason, E.A.
  • van den Meijdenberg, C.J.N.

Abstract

The total scattering cross section as a function of velocity in the glory region can be accurately described semiclassically as the sum of an average part and an undulating part. In practice the velocity dependence of the average cross section is complicated because of contributions from different dispersion terms in the attractive part of the potential and eventually from repulsive terms as well. It is shown that the average cross section can be accurately retrieved from the data, without the assumption of a mathematical model for the potential, and that the retrieved values can be directly inverted to numerical values of the potential tail. The separated results for the undulating part yield numerical values for five of the usual glory parameters. The procedure is tested on simulated total cross section data showing several full glory oscillations, and the glory parameters and potential tail are reproduced to accuracies consistent with the graphical-numerical methods employed.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:117:y:1983:i:1:p:139-159
    DOI: 10.1016/0378-4371(83)90026-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437183900262
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/0378-4371(83)90026-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:117:y:1983:i:1:p:139-159. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.