Efimov effect in non-integer dimensions induced by an external field

The Efimov effect can be induced by means of an external deformed one-body field that effectively reduces the allowed spatial dimensions to less than three. To understand this new mechanism, conceptually and practically, we employ a formulation using non-integer dimension, which is equivalent strength oscillator field. most clearly appears when crucial two-body systems are unbound in three, but bound two, dimensions. We discuss energy variation, conditions for occurrence, number states, as functions dimension. use practical examples from cold atom physics 133Cs-133Cs-133Cs, 87Rb-87Rb-87Rb, 133Cs-133Cs-6Li, 87Rb-87Rb-39K. Laboratory tests performed with two independent parameters, i.e. Feshbach tuning. scaling (dis)appearance these states occur precisely already found three