Universality of Brunnian (N-body Borromean) four- and five-body systems

Abstract

We compute binding energies and root-mean-square radii for weakly bound systems of N = 4 and 5 identical bosons. Ground and first excited states of an N -body system appear below the threshold for binding the system with N − 1 particles. Their root-mean-square radii approach constants in the limit of weak binding. Their probability distributions are on average located in nonclassical regions of space which result in universal structures. Radii decrease with increasing particle number. The ground states for more than five particles are probably nonuniversal, whereas excited states may be universal.

Creating pentamer molecules by generalized stimulated Raman adiabatic passage

“…ER was soon generalized to four-body systems [19,20]. For four identical bosons [21][22][23], it was found that the Efimov trimer and tetramer states always appear as sets of states with two tetramers associated with each of the trimer levels. Experimentally, tetramer states were recently realized in an ultracold gas of cesium atoms [24].…”

Dimer–atom–atom Recombination in the Universal Four-boson System

“…In addition to the numerous bound-state calculations, e.g., [4,5,6,7,8,9,10,11], also the collision processes have been investigated in the framework of hyperspherical harmonics (HH) [6], coordinate-space Faddeev-Yakubovsky (FY) equations [12,8] or momentum-space Alt,Grassberger and Sandhas (AGS) equations [13,14]. The studies include the elastic and inelastic atom-trimer [8,14,15] ⋆ Dedicated to Professor Henryk Witala at the occasion of his 60th birthday A. Deltuva…”

Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction

“…First, atomic gases provide an ideal platform for investigating phenomena related to Efimov physics [1][2][3]. While the majority of investigations of the Efimov effect have focused on the three-body system, larger systems have attracted considerable attention recently from theoretical and experimental groups [4][5][6][7][8][9][10][11][12][13][14][15]. Second, small trapped atomic systems can be realized by loading an atomic gas into an optical lattice [16][17][18][19].…”