Universality in a one-dimensional three-body system
Quantum Physics
2019-07-31 v2
Abstract
We study a heavy-heavy-light three-body system confined to one space dimension. Both binding energies and corresponding wave functions are obtained for (i) the zero-range, and (ii) two finite-range attractive heavy-light interaction potentials. In case of the zero-range potential, we apply the method of Skorniakov and Ter-Martirosian to explore the accuracy of the Born-Oppenheimer approach. For the finite-range potentials, we solve the Schr\"odinger equation numerically using a pseudospectral method. We demonstrate that when the two-body ground state energy approaches zero, the three-body bound states display a universal behavior, independent of the shape of the interaction potential.
Cite
@article{arxiv.1904.07544,
title = {Universality in a one-dimensional three-body system},
author = {Lucas Happ and Matthias Zimmermann and Santiago I. Betelu and Wolfgang P. Schleich and Maxim A. Efremov},
journal= {arXiv preprint arXiv:1904.07544},
year = {2019}
}
Comments
16 pages, 9 figures, 1 table