Three-body system in leading order Effective Field Theory without three-body forces

B. Blankleider, J. Gegelia

    Research output: Working paper/PreprintPreprint


    The use of leading order effective field theory (EFT) to describe neutron- deuteron scattering leads to integral equations that have unusual behaviour: when only two-body interactions are included, the scattering amplitude does not approach a limit when the cutoff used to solve the equations is removed. It has recently been shown that this cutoff dependence can be eliminated by the careful inclusion of a three-body force. In this paper we show that the cutoff dependence is just a reflection of the fact that the aforementioned inte- gral equations admit an infinite number of solutions amongst which only one corresponds to the physical scattering amplitude. We show how to numeri- cally extract the physical scattering amplitude from the general solution and in this way explicitly demonstrate that the amplitude for a particle scatter- ing off a two-body bound state, in leading order EFT, is in fact determined entirely by two-body forces.
    Original languageEnglish
    PublisherarXiv submission
    Number of pages16
    Publication statusSubmitted - 5 Sept 2000

    Publication series

    NamearXiv submission
    PublisherarXiv submission
    ISSN (Electronic)2331-8422


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