2021 Impact factor 3.131
Hadrons and Nuclei
Eur. Phys. J. A 16, 437-446 (2003)
DOI: 10.1140/epja/i2002-10119-4

New parameterization of the trinucleon wave function and its application to the $\mth{\pi}$ $\chem{^{3}He}$ scattering length

V. Baru1, J. Haidenbauer1, C. Hanhart1 and J.A. Niskanen2

1  Institut für Kernphysik, Forschungszentrum Jülich, D-52425 Jülich, Germany
2  Department of Physical Sciences, P.O. Box 64, FIN-00014 University of Helsinki, Finland


(Received: 12 August 2002 / Revised version: 21 November 2002 / Published online: 25 February 2003)

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 $\pi\, ^3$He scattering length in chiral-perturbation theory. We find reasonable agreement with experimental values inferred from data on level shifts in pionic $\chem{^{3}He}$ bound states. The relevance of the $\pi$-triton system for an alternative determination of the $\pi N$ scattering lengths is discussed.

25.80.Ls - Pion inclusive scattering and absorption.
25.80.Hp - Pion-induced reactions.
25.10.+s - Nuclear reactions involving few-nucleon systems.
21.45.+v - Few-body systems.

© Società Italiana di Fisica, Springer-Verlag 2003

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