Ground state stability diagrams for two identical particles in an external potential

FEDERICO PONT; PABLO SERRA

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

IOP

Año: 2008 vol. 41 p. 275303 - 275303

0305-4470

We study the stability of the ground state of atwo identical particles system in an attractive external potential. We consider a repulsive interaction between particles. The existenceof a bounded ground state as a function of the strength Hamiltonian parametersis studied for long and short range potentials.The possible scenarios  of ionization are discussed.Criteria for the existence of a threshold-energy bound state and the energy critical exponentare given.In particular, we show that for the case of an attractive long-range external potential with short-range repulsive inter-particle interaction, a boundsystem can become unstable increasing the strength of the attractive potential.