English

One-dimensional tunneling of the two-body bound state

Quantum Physics 2025-10-15 v1

Abstract

We consider bound and scattering states of the one-dimensional dimer formed by two coupled non-identical atoms when one of them also interacts with the zero-range potential located at the origin. By calculating the dimer localized and scattering wave functions, we identify properties of the system without the two-body bound-state collapse. In general, we predict an enhancement of the dimer reflection compared to a single atom, except for a narrow region on the attractive side of the external potential.

Keywords

Cite

@article{arxiv.2510.11932,
  title  = {One-dimensional tunneling of the two-body bound state},
  author = {N. Shypka and O. Hryhorchak and V. Pastukhov},
  journal= {arXiv preprint arXiv:2510.11932},
  year   = {2025}
}

Comments

6 pages, 13 figures; comments and relevant references are welcome