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New parameterization of the trinucleon wave function and its application to the π 3He scattering length

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The European Physical Journal A - Hadrons and Nuclei Aims and scope Submit manuscript

Abstract:

We present a new parameterization of the trinucleon wave function. As a novel feature a separable parameterization for the complete wave function is given. In this way any calculation that considers two-body currents only is largely simplified. To demonstrate this we calculate the π3He scattering length in chiral-perturbation theory. We find reasonable agreement with experimental values inferred from data on level shifts in pionic 3He bound states. The relevance of the π-triton system for an alternative determination of the πN scattering lengths is discussed.

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Authors and Affiliations

  1. Institut für Kernphysik, Forschungszentrum Jülich, D-52425 Jülich, Germany, , , , , , DE

    V. Baru, J. Haidenbauer & C. Hanhart

  2. Department of Physical Sciences, P.O. Box 64, FIN-00014 University of Helsinki, Finland, , , , , , FI

    J.A. Niskanen

Authors
  1. V. Baru
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  2. J. Haidenbauer
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  3. C. Hanhart
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  4. J.A. Niskanen
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Additional information

Received: 12 August 2002 / Accepted: 25 November 2002 / Published online: 25 February 2003

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ID="a"e-mail: c.hanhart@fz.juelich.de

Communicated by V. Vento

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Baru, V., Haidenbauer, J., Hanhart, C. et al. New parameterization of the trinucleon wave function and its application to the π 3He scattering length. Eur Phys J A 16, 437–446 (2003). https://doi.org/10.1140/epja/i2002-10119-4

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  • DOI: https://doi.org/10.1140/epja/i2002-10119-4

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