Physical Sciences and Mathematics Commons^™

Few-Boson Processes In The Presence Of An Attractive Impurity Under One-Dimensional Confinement, Nirav P. Mehta, Connor D. Morehead

Physics and Astronomy Faculty Research

We consider a few-boson system confined to one dimension with a single distinguishable particle of lesser mass. All particle interactions are modeled with δ functions, but due to the mass imbalance the problem is nonintegrable. Universal few-body binding energies, atom-dimer and atom-trimer scattering lengths, are all calculated in terms of two parameters, namely the mass ratio m_L/m_H, and ratio g_HH/g_HL of the δ-function couplings. We specifically identify the values of these ratios for which the atom-dimer or atom-trimer scattering lengths vanish or diverge. We identify regions in this parameter space …