2014/12/31 by Ulf-G. Meißner, G. Ríos, Guillermo Ríos +1 · 5 citations
Mathematics · Physics and Astronomy · #Angular momentum #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Function (biology) #Mathematical analysis #Mathematical physics #Mathematics #Normalization (sociology) #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spectrum (functional analysis) #State (computer science) #Unitary state #Upper and lower bounds #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevlett.114.091602
published as Phys. Rev. Lett. 114, 091602 (2015) · An error in the calculation of the overlap integral in Eq. (11) is corrected. Our main result given in Eq. (26) remains the same, except the numerical value of the constant c, which changes approximately by 10%
openalex publication_date 2015/03/04 · arxiv created 2016/07/29 · arxiv updated 2016/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The spectrum of a bound state of three identical particles with a mass m in a finite cubic box is studied. It is shown that in the unitary limit, the energy shift of a shallow bound state is given by \mathrm\ensuremathΔE=c(\ensuremathκ2/m)(\ensuremathκL)^\ensuremath-3/2|A|2exp(\ensuremath-2\ensuremathκL/√(3)), where \ensuremathκ 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 \ensuremathκL\ensuremath≫1.