par Baye, Daniel Jean 
;Dohet-Eraly, Jérémy
Référence Physical Review A, 103, 2, 022823
Publication Publié, 2021-02-01
;Dohet-Eraly, Jérémy Référence Physical Review A, 103, 2, 022823
Publication Publié, 2021-02-01
Article révisé par les pairs
| Résumé : | The three-body Schrödinger equation of the system composed of an α particle He2+, a negatively charged pion π-, and an electron interacting through Coulomb forces is solved in perimetric coordinates with the Lagrange-mesh method. The ground state, quasibound states, and resonances are obtained for total orbital momenta L=0-20. Mean distances between the particles allow for identifying the structure of these states. The widths of resonances broader than 10-5 atomic units are derived with the complex scaling method. A transition from atomic to molecular structure occurs between L=10 and L=13. Excited levels obtained for L=0-5 display hydrogenlike properties for both the α-pion system and the electron excitations. Excited levels with L≥14 correspond to a vibrational excitation of the relative motion of the heavy particles. The validity of the Born-Oppenheimer approximation is found to be fair over the whole range of total orbital momenta. |
