One-dimensional tunneling of the two-body bound state

Q: What type of study is this?

This is a Quantitative Study study.

N. Shypka; Orest Hryhorchak; V. Pastukhov

doi:10.48550/arxiv.2510.11932

October 13, 2025Open Access

One-dimensional tunneling of the two-body bound state

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Key Points

The analysis shows an enhancement of dimer reflection compared to a single atom, indicating unique behaviors in this system.
Local and scattering wave functions were calculated to explore the interactions of dimer states with a zero-range potential.
Dimer properties were identified without the risk of two-body bound-state collapse, which is a critical aspect of the system's stability.
Findings suggest that the reflection characteristics depend on interaction strengths, especially near attractive potentials.

Implication

Analysis uncovers bound and scattering states in one-dimensional dimers, suggesting reflections vary significantly.

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.

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Cite This Study

Shypka et al. (2025) studied this question.

synapsesocial.com/papers/68f3793258f37cefb60d3540 https://doi.org/10.48550/arxiv.2510.11932

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One-dimensional tunneling of the two-body bound state

Key Points

Implication

Abstract

Discussion

Cite This Study

One-dimensional tunneling of the two-body bound state

Key Points

Implication

Abstract

Discussion

Cite This Study

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