An analytic and parameter-free wavefunction for studying the stability of three-body systems
| Autor: | Gustavo Gasaneo, L. U. Ancarani |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Cusp (singularity)
Physics Nuclear and High Energy Physics Polynomial Photon STABILITY CUSP CONDITIONS THREE-BODY SYSTEMS Ciencias Físicas Condensed Matter Physics Stability (probability) Atomic and Molecular Physics and Optics Astronomía Simple (abstract algebra) Quantum mechanics Bound state Physical and Theoretical Chemistry Ground state Wave function CIENCIAS NATURALES Y EXACTAS |
| Zdroj: | Hyperfine Interactions. 193:135-139 |
| ISSN: | 1572-9540 0304-3843 |
| DOI: | 10.1007/s10751-009-0053-2 |
| Popis: | An analytic wavefunction is proposed for the ground state of general atomic three-body systems in which two light particles are negatively charged and the third (heavy) is positively charged. By construction the wavefunction (i) has the same analytical form for all systems; (ii) is parameter-free; (iii) is nodeless; (iv) satisfies all two-particle cusp conditions; and (v) yields reasonable ground state energies for several three-body systems, including the prediction of a bound state for H-, D-, T- and Mu-. Simple polynomial fits are provided for certain important subcases, allowing for a rapid estimate of the ground state energy and of the stability of three-body systems. Fil: Ancarani, L. U.. Université Paul Verlaine-Metz; Francia Fil: Gasaneo, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina |
| Databáze: | OpenAIRE |
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