INVESTIGADORES
GASANEO Gustavo
artículos
Título:
An analytic and parameter-free wavefunction for studying the stability of three-body systems
Autor/es:
L. U. ANCARANI AND G. GASANEO
Revista:
HYPERFINE INTERACTIONS
Editorial:
Springer
Referencias:
Año: 2009 vol. 139 p. 135 - 139
ISSN:
0304-3843
Resumen:
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.