Resonances Induced by Broken Symmetry in a System with a Singular Potential

摘要

We study a three-dimensional nonrelativistic quantum system with a delta-type potential. The support of this potential is determined by a circle and straight line in mathbbR3{mathbb{R}^3} . We show that a special symmetry of our system induces embedded eigenvalues, and breaking this symmetry leads to resonances.