Speaker
Dr
Akaki Rusetsky
(HISKP, University of Bonn)
Description
The spectrum of a bound state of three identical particles with a mass $m$ in a finite cubic box is studied within the effective field theory approach. It is shown that in the limit of a large two-body scattering length, the energy shift of a shallow bound state is given by
$\Delta E=c (\kappa^2/m) (\kappa L)^{-3/2}|A|^2 \exp(−2\kappa L/\sqrt{3})$,
where $\kappa$ is the bound-state momentum, $L$ is the box size,
$|A|^2$ denotes the three-body analog of the asymptotic normalization coefficient of the bound state wave function and $c$ is a numerical constant. The formula is valid for $\kappa L\gg 1$. We further compare these predictions to the results of numerical calculations of the three-body spectrum in a finite volume. Using this approach to study the nature of the three-body bound states on the lattice is discussed.
Primary author
Dr
Akaki Rusetsky
(HISKP, University of Bonn)
Co-authors
Dr
Guillermo Rios
(HISKP, University of Bonn)
Prof.
Ulf-G. Meissner
(HISKP, University of Bonn)
