Binding of heavy fermions by a single light atom in one dimension
| Autor: | A. Tononi, J. Givois, D. S. Petrov |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Physical Review A. 106 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.106.l011302 |
| Popis: | We consider the problem of $N$ identical fermions interacting via a zero-range attractive potential with a lighter atom in one dimension. Using the few-body approach based on the Skorniakov and Ter-Martirosian equation, we determine the energies and the critical mass ratios for the emergence of the tetramer, pentamer, and hexamer. For large $N$, we solve the problem analytically by using the mean-field theory based on the Thomas-Fermi approximation. The system becomes bound when the heavy-to-light mass ratio exceeds a critical value which grows as $N^3$ at large $N$. We also employ a more sophisticated Hartree-Fock approach, which turns out to be equivalent to the Thomas-Fermi approximation for determining the energies, but provides a better description of the microscopic structure of the clusters. Comment: 6 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|