dorsal/arxiv
View SchemaScaling predictions for radii of weakly bound triatomic molecules
| Authors | M. T. Yamashita, R. S. Marques de Carvalho, Lauro Tomio, T. Frederico |
|---|---|
| Categories | |
| ArXiv ID | physics/0303031 |
| URL | https://arxiv.org/abs/physics/0303031 |
| DOI | 10.1103/PhysRevA.68.012506 |
| Journal | Phys.Rev.A68:012506,2003 |
Abstract
The mean-square radii of the molecules $^4$He$_3$, $^4$He$_2-^6$Li, $^4$He$_2-^7$Li and $^4$He$_2-^{23}$Na are calculated using a three-body model with contact interactions. They are obtained from a universal scaling function calculated within a renormalized scheme for three particles interacting through pairwise Dirac-delta interaction. The root-mean-square distance between two atoms of mass $m_A$ in a triatomic molecule are estimated to be of de order of ${\cal C}\sqrt{\hbar^2/[m_A(E_3-E_2)]}$, where $E_2$ is the dimer and $E_3$ the trimer binding energies, and ${\cal C}$ is a constant (varying from $\sim 0.6$ to $\sim 1$) that depends on the ratio between $E_2$ and $E_3$. Considering previous estimates for the trimer energies, we also predict the sizes of Rubidium and Sodium trimers in atomic traps.
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"abstract": "The mean-square radii of the molecules $^4$He$_3$, $^4$He$_2-^6$Li,\n$^4$He$_2-^7$Li and $^4$He$_2-^{23}$Na are calculated using a three-body model\nwith contact interactions. They are obtained from a universal scaling function\ncalculated within a renormalized scheme for three particles interacting through\npairwise Dirac-delta interaction. The root-mean-square distance between two\natoms of mass $m_A$ in a triatomic molecule are estimated to be of de order of\n${\\cal C}\\sqrt{\\hbar^2/[m_A(E_3-E_2)]}$, where $E_2$ is the dimer and $E_3$ the\ntrimer binding energies, and ${\\cal C}$ is a constant (varying from $\\sim 0.6$\nto $\\sim 1$) that depends on the ratio between $E_2$ and $E_3$. Considering\nprevious estimates for the trimer energies, we also predict the sizes of\nRubidium and Sodium trimers in atomic traps.",
"arxiv_id": "physics/0303031",
"authors": [
"M. T. Yamashita",
"R. S. Marques de Carvalho",
"Lauro Tomio",
"T. Frederico"
],
"categories": [
"physics.atm-clus",
"cond-mat.soft",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.68.012506",
"journal_ref": "Phys.Rev.A68:012506,2003",
"title": "Scaling predictions for radii of weakly bound triatomic molecules",
"url": "https://arxiv.org/abs/physics/0303031"
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