On critical stability of three quantum charges interacting through delta potentials

Horia Decebal Cornean (1) , Pierre Duclos (2, 3) , Benjamin Ricaud (2, 3)

1 Departement of Mathematics
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332

We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at least one bound state.

Mots clés: trion; three particles; delta potential; one dimensional

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Horia Decebal Cornean, Pierre Duclos, Benjamin Ricaud. On critical stability of three quantum charges interacting through delta potentials. Few-Body Systems, 2006, 38. ⟨hal-00022107⟩