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math-ph2010
Zero Energy Ground State in the Three-Body System
Dmitry K. Gridnev
We consider a 3--body system in with non--positive potentials and non--negative essential spectrum. Under certain requirements on the fall off of pair potentials it…
math-ph2010
Zero Energy Bound States in Three--Particle Systems
Dmitry K. Gridnev
Under certain restrictions on pair--potentials it is proved that the eigenvalues in the three--particle system are absorbed at zero energy threshold if there is no negative energy…