Universality in a one-dimensional three-body system
arXiv:1904.07544 · doi:10.1103/PhysRevA.100.012709
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 Schrödinger 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.
16 pages, 9 figures, 1 table
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Cited by in corpus (8)
- Direct Measurements of Collisional Dynamics in Cold Atom Triads
- Efimov effect in non-integer dimensions induced by an external field
- Energy states of Rydberg excitons in finite crystals: From weak to strong confinement
- Universality of excited three-body bound states in one dimension
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