Prof. Mario Gattobigio

Universitè de Nice-Sophia Antipolis

Thursday, November 28th, 2013 at 04:00:00 PM

Conference room Querzoli - LENS - via Nello Carrara 1 - Sesto Fiorentino (Florence)

Published on-line at 01:23:51 PM on Friday, November 22nd, 2013

Efimov Physics: from three- to N-particle universality

Efimov physics refers to the universal behaviour of three-body particles in systems where the interaction is tuned, by nature or by scientists, close to the ver

Efimov physics refers
to the universal behaviour of three-body particles in systems where the
interaction is tuned, by nature or by scientists, close to the verge of binding
a two-body subsystem. The most striking aspect of this physics is the Efimov
effect, that is the appearance of an infinite number of three-body bound states
that accumulate at the zero-energy threshold in the limit where the two-body-scattering
length diverges (unitary limit). Moreover, the ratio between two
consecutive bound-state energies tends to a constant that, for identical
bosons, is universal. The limit is exact for all of the three-body states in the
case of zero-range potentials, an ideal and pathological limit where the
infinite tower of three-body bound states is unbounded from below (Thomas
collapse). For real potential, the range of the force is finite, the system has
a well-defined three-body-ground state, and the limit receives non-universal
corrections - finite-range corrections.

After an introduction to Efimov physics, I will show how finite-range corrections
can be taken into account in the theory, allowing to map both real-potential
calculations and experimental results onto the universal zero-range theory.

In addition, I'll show that the same finite-range
analysis allows to analyse the N-body spectrum (at least up to six particles)
and to map it onto the same universal prediction of the zero-range three-body
theory. In a

sense still to be clarified, I'll show evidences that the three-, four-, five-, and six-body shallow systems belong to
the same class of universality.

For further informations, please contact Prof. Giovanni Modugno.