New parameterization of the trinucleon wavefunction and its application to the ${\pi }^3$He scattering length

Abstract

We present a new parameterization of the trinucleon wavefunction. As a novel feature a separable parameterization for the complete wavefunction is given. In this way any calculation that considers two body forces only is largely simplified. To demonstrate this we calculate the ${\pi }^3$He scattering length.

19 pages, 4 figures