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 scattering length

V. Baru¹, J. Haidenbauer¹, C. Hanhart¹ and J.A. Niskanen<sup>2

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

c.hanhart@fz.juelich.de

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

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 He scattering length in chiral-perturbation theory. We find reasonable agreement with experimental values inferred from data on level shifts in pionic bound states. The relevance of the -triton system for an alternative determination of the scattering lengths is discussed.

PACS
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