Two sides of the coin: The efimov effect and collapse in three-body systems with point-like interactions. I

The 4He Trimer as an Efimov System

“…On the other hand, if ℓ (2) sc is finite and nonzero, this estimate describes the number of energy levels in the Thomas effect going to −∞ as r 0 → 0. That the Efimov and Thomas effects are nothing but the two sides of the same coin was noted, in particular, in [76] and [77] (see also [78,Section 5] and references therein). Currently, there are a lot of discussions on the universal properties of three-body systems at ultralow energies, and there is a tendency (see, e.g.…”

Self-adjoint extension schemes and modern applications to quantum Hamiltonians

“…The presence of an infinite sequence of negative eigenvalues for the three-body Hamiltonian which accumulate to zero is referred to as the Efimov effect, with reference to the same phenomenon predicted theoretically in the early 1970's by Efimov [88,89] for three-body quantum systems with two-body resonant interaction of finite range [136,144,194,10,225,226,227,218,157,167,13,28].…”

The ^4He trimer as an Efimov system

“…sc is finite and nonzero, this estimate describes the number of energy levels in the Thomas effect going to −∞ as r 0 → 0. That the Efimov and Thomas effects are nothing but the two sides of the same coin was noted, in particular, in [76] and [77] (see also [78,Section 5] and references therein). Currently, there are a lot of discussions on the universal properties of three-body systems at ultralow energies, and there is a tendency (see, e.g.…”