Eur. Phys. J. D 13, 33-41 (2001)
https://doi.org/10.1007/s100530170284

Binding energies and scattering observables in the ⁴He₃ atomic system

¹ Physikalisches Institut der Universität Bonn, Endenicher Allee 11-13, 53115 Bonn, Germany
² Physics Department, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa
³ Joint Institute for Nuclear Research, Dubna 141980, Russia

Corresponding author: ^a motovilv@thsun1.jinr.ru

Received: 19 June 2000
Published online: 15 January 2001

Abstract

The ⁴He₃ system is investigated using a hard-core version of the Faddeev differential equations. Realistic ⁴He-⁴He interactions are employed, among them the LM2M2 potential by Aziz and Slaman and the recent TTY potential by Tang, Toennies and Yiu. We calculate the binding energies of the ⁴He trimer, but concentrate in particular on scattering observables. The scattering lengths and the atom-diatom phase shifts are calculated for center of mass energies up to 2.45 mK. It is found that the LM2M2 and TTY potentials, although of quite different structure, give practically the same bound-state and scattering results.