An equilateral model for the 4He trimer

Elena A. Kolganova, Alexander Konstantinovich Motovilov, Werner Sandhas

Tomás González‐Lezana, D. Lopez, Salvador Miret-Artés +3 more

Tomás González‐Lezana, Jesús Rubayo‐Soneira, Salvador Miret-Artés +3 more

LAWRENCE L. JUN. LOHR, S. M. Blinder

Abstract We have shown that a simple model based on pairwise deltafunction potentials can, with an appropriate choice of parameters, represent the general behavior of ultra‐low temperature helium dimers and trimers, including all possible isotopomers. The species 4He2, 4He3, and 4He23He are stable, with binding energies of approximately 1.3, 100, and 10 mK, respectively. An Efimov state for 4He23He is also predicted, bound by 2.4 mK. The remaining dimers and trimers, 4He 3He, 3He2, 4He 3He2, and 3He3, are evidently unstable. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001

T. K. Lim, Michael A. Zuniga

The binding energies of the 3,4He trimers are computed for a range of realistic interatomic potentials using the equivalent two-body method of Bodmer and Ali. We find a 4He trimer bound with a binding energy of about 0.25°K and a 3He trimer which is but loosely bound. We also confirm that the Hall–Post–Stenschke method gives poor lower bounds to the energy and that (4He)3 is large, having a root mean square interparticle spacing of 23 Å.

Leandra Vranješ Markić, Srećko Kilić