dorsal/arxiv
View SchemaOn the Stability Domain of Systems of Three Arbitrary Charges
| Authors | Ali Krikeb, Andre Martin, Jean-Marc Richard, Tai T. Wu |
|---|---|
| Categories | |
| ArXiv ID | physics/9812031 |
| URL | https://arxiv.org/abs/physics/9812031 |
Abstract
We present results on the stability of quantum systems consisting of a negative charge $-q_1$ with mass $m_{1}$ and two positive charges $q_2$ and $q_3$, with masses $m_{2}$ and $m_{3}$, respectively. We show that, for given masses $m_{i}$, each instability domain is convex in the plane of the variables $(q_{1}/q_{2}, q_{1}/q_{3})$. A new proof is given of the instability of muonic ions $(\alpha, p, \mu^-)$. We then study stability in some critical regimes where $q_3\ll q_2$: stability is sometimes restricted to large values of some mass ratios; the behaviour of the stability frontier is established to leading order in $q_3/q_2$. Finally we present some conjectures about the shape of the stability domain, both for given masses and varying charges, and for given charges and varying masses.
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"abstract": "We present results on the stability of quantum systems consisting of a\nnegative charge $-q_1$ with mass $m_{1}$ and two positive charges $q_2$ and\n$q_3$, with masses $m_{2}$ and $m_{3}$, respectively. We show that, for given\nmasses $m_{i}$, each instability domain is convex in the plane of the variables\n$(q_{1}/q_{2}, q_{1}/q_{3})$. A new proof is given of the instability of muonic\nions $(\\alpha, p, \\mu^-)$. We then study stability in some critical regimes\nwhere $q_3\\ll q_2$: stability is sometimes restricted to large values of some\nmass ratios; the behaviour of the stability frontier is established to leading\norder in $q_3/q_2$. Finally we present some conjectures about the shape of the\nstability domain, both for given masses and varying charges, and for given\ncharges and varying masses.",
"arxiv_id": "physics/9812031",
"authors": [
"Ali Krikeb",
"Andre Martin",
"Jean-Marc Richard",
"Tai T. Wu"
],
"categories": [
"physics.atom-ph",
"quant-ph"
],
"title": "On the Stability Domain of Systems of Three Arbitrary Charges",
"url": "https://arxiv.org/abs/physics/9812031"
},
"schema_id": "dorsal/arxiv",
"source": {
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"variant": "snapshot-2026-03-01",
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