dorsal/arxiv
View SchemaInteraction of Ultracold Antihydrogen with a Conducting Wall
| Authors | A. Yu. Voronin, P. Froelich, B. Zygelman |
|---|---|
| Categories | |
| ArXiv ID | physics/0612050 |
| URL | https://arxiv.org/abs/physics/0612050 |
| DOI | 10.1103/PHYSREVA.72.062903 |
| Journal | Phys.Rev.A72:062903,2005 |
Abstract
We investigate the interaction of ultracold antihydrogen with a conducting surface. Our discussion focuses on the physical regime where the phenomenon of quantum reflection manifests. We calculate the reflection probability as function of incident atom energy. We find that, for ground state $\bar{H}$ atoms (with $T< 10^{-5}$ K), the probability of reflection is $R \simeq 1-k b$, where $k$ is the momentum of the atom and $b = 2174.0$ a.u. is a constant determined solely by the van der Waals-Casimir tail of the atom-wall interaction. We show that quantum reflection, which suppresses the direct contact of ultra-cold atoms with the surface, allows for the possibility of confinement and storage of cold antihydrogen atoms. We calculate the life-time of confinement as a function of antihydrogen energy. We develop a theory of $\bar{H}$ in a wave-guide and propose its application to fundamental measurements. In particular, for measurement of retardation corrections in the long-range component of the antiatom - wall potential. We demonstrate, for $\bar{H}$ falling in the gravitational field of Earth onto a conducting surface, the existence of quantized $\bar{H}$ states. We calculate that the lifetime of ultracold $\bar{H}$ in its lowest gravitational state and obtain $\tau=(Mg b/2\hbar)^{-1}\simeq 0.1$ s, where $Mg$ is a gravitational force acting on the antiatom. We propose that measurement of this lifetime may provide a new test for the gravitational properties of antimatter.
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"abstract": "We investigate the interaction of ultracold antihydrogen with a conducting\nsurface. Our discussion focuses on the physical regime where the phenomenon of\nquantum reflection manifests. We calculate the reflection probability as\nfunction of incident atom energy. We find that, for ground state $\\bar{H}$\natoms (with $T\u003c 10^{-5}$ K), the probability of reflection is $R \\simeq 1-k b$,\nwhere $k$ is the momentum of the atom and $b = 2174.0$ a.u. is a constant\ndetermined solely by the van der Waals-Casimir tail of the atom-wall\ninteraction. We show that quantum reflection, which suppresses the direct\ncontact of ultra-cold atoms with the surface, allows for the possibility of\nconfinement and storage of cold antihydrogen atoms. We calculate the life-time\nof confinement as a function of antihydrogen energy. We develop a theory of\n$\\bar{H}$ in a wave-guide and propose its application to fundamental\nmeasurements. In particular, for measurement of retardation corrections in the\nlong-range component of the antiatom - wall potential. We demonstrate, for\n$\\bar{H}$ falling in the gravitational field of Earth onto a conducting\nsurface, the existence of quantized $\\bar{H}$ states. We calculate that the\nlifetime of ultracold $\\bar{H}$ in its lowest gravitational state and obtain\n$\\tau=(Mg b/2\\hbar)^{-1}\\simeq 0.1$ s, where $Mg$ is a gravitational force\nacting on the antiatom. We propose that measurement of this lifetime may\nprovide a new test for the gravitational properties of antimatter.",
"arxiv_id": "physics/0612050",
"authors": [
"A. Yu. Voronin",
"P. Froelich",
"B. Zygelman"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PHYSREVA.72.062903",
"journal_ref": "Phys.Rev.A72:062903,2005",
"title": "Interaction of Ultracold Antihydrogen with a Conducting Wall",
"url": "https://arxiv.org/abs/physics/0612050"
},
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