2016/04/20 by D. K. Gridnev, Dmitry K. Gridnev, Gridnev, Dmitry K. +2
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #cond-mat.quant-gas #math-ph #math.MP #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1604.05854
arxiv created 2016/04/20 · openalex publication_date 2016/04/20 · arxiv updated 2016/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the corner angle distributions in the bound three-body system AAB, which consists of two particles of type A and one particle of type B, approach universal form if the pair AA has a virtual state at zero energy and the binding energy of AAB goes to zero. We derive explicit expressions for the universal corner angle distributions in terms of elementary functions, which depend solely on the mass ratio m(A)/m(B) and do not depend on pair interactions. On the basis of experimental data and calculations we demonstrate that such systems as the asymmetric Helium trimer 3He4He2 and the halo nucleus 22C exhibit universal features. Thus our result establishes an interesting link between atomic and nuclear physics through the few-body universality.