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Bound state calculations for some three‐body electronic and muonic atomic systems with Fues‐Kratzer–type potential
Author(s) -
Yalçin Zeynel
Publication year - 2004
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.20008
Subject(s) - laguerre polynomials , excited state , ground state , bound state , atomic physics , type (biology) , wave function , schrödinger equation , chemistry , coulomb , physics , configuration interaction , quantum mechanics , electron , ecology , biology
The coupled Schrödinger equation for three‐body atomic systems such as Ps − ( e + e − e − ), Mu (μ + e − e − ), p + μ − μ − , d + μ − μ − , and t + μ − μ − is solved by using the hyperspherical harmonic‐generalized Laguerre polynomial expansion method (HHGLP). Ground‐state eigenenergies are calculated for the certain number of basis functions. The eigenenergies of the first excited states are obtained for both pure Coulomb, V ( r , Ω) = $\hat{Z}$ (Ω)/ r , and Fues‐Kratzer‐type (FK‐type) potential, V ( r , Ω) = $\hat{Z}$ (Ω)/ r + $\hat{A}$ (Ω)/ r 2 . As an example, to illustrate the effect of FK‐type interaction on the lowest excited states, the eigenenergies of the Mu − ion are given together as a function of the certain number of basis functions for both potentials. Our results were compared with the other theoretical calculations. Ground‐state eigenenergies of atoms such as X + Y − Y − as a function of the reduced mass were investigated. The potential curves of the ground and first excited states of Ps − ( e + e − e − ), Mu − (μ + e − e − ), p + μ − μ − systems were obtained by a diagonalization process. It is pointed out that the FK‐type potential makes the HH method more useful and more extended for atomic calculations. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004