dorsal/arxiv
View SchemaThe spectra of mixed $^3$He-$^4$He droplets
| Authors | S. Fantoni, R. Guardiola, J. Navarro, A. Zuker |
|---|---|
| Categories | |
| ArXiv ID | physics/0505029 |
| URL | https://arxiv.org/abs/physics/0505029 |
| DOI | 10.1063/1.1990112 |
Abstract
The diffusion Monte Carlo technique is used to calculate and analyze the excitation spectrum of $^3$He atoms bound to a cluster of $^4$He atoms, by using a previously determined optimum filling of single-fermion orbits with well defined orbital angular momentum $L$, spin $S$ and parity quantum numbers. The study concentrates on the energies and shapes of the three kinds of states for which the fermionic part of the wave function is a single Slater determinant: maximum $L$ or maximum $S$ states within a given orbit, and fully polarized clusters. The picture that emerges is that of systems with strong shell effects whose binding and excitation energies are essentially determined over configuration at fixed number of particles and spin, i.e., by the monopole properties of an effective Hamiltonian.
{
"annotation_id": "65810374-4a76-41bf-9922-926bd7be612d",
"date_created": "2026-03-02T18:00:56.379000Z",
"date_modified": "2026-03-02T18:00:56.379000Z",
"file_hash": "5eef8ed88a75ca928732f7dac4b64aa02ea5cd00257a4a5d4f71e608347a4d65",
"private": false,
"record": {
"abstract": "The diffusion Monte Carlo technique is used to calculate and analyze the\nexcitation spectrum of $^3$He atoms bound to a cluster of $^4$He atoms, by\nusing a previously determined optimum filling of single-fermion orbits with\nwell defined orbital angular momentum $L$, spin $S$ and parity quantum numbers.\nThe study concentrates on the energies and shapes of the three kinds of states\nfor which the fermionic part of the wave function is a single Slater\ndeterminant: maximum $L$ or maximum $S$ states within a given orbit, and fully\npolarized clusters. The picture that emerges is that of systems with strong\nshell effects whose binding and excitation energies are essentially determined\nover configuration at fixed number of particles and spin, i.e., by the monopole\nproperties of an effective Hamiltonian.",
"arxiv_id": "physics/0505029",
"authors": [
"S. Fantoni",
"R. Guardiola",
"J. Navarro",
"A. Zuker"
],
"categories": [
"physics.atm-clus",
"physics.chem-ph"
],
"doi": "10.1063/1.1990112",
"title": "The spectra of mixed $^3$He-$^4$He droplets",
"url": "https://arxiv.org/abs/physics/0505029"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4be31791-8efa-4ad3-8bf2-208d435d1502",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}