Work

Matching universal behavior with potential models

Year: 2016
Type: article
Abstract: Two-, three-, and four-boson systems are studied close to the unitary limit using potential models constructed to reproduce the minimal information given by the two-body scattering length $a$ and the two-body binding energy or virtual-state energy ${E}_{2}$. The particular path used to reach the unitary limit is given by varying the potential strength. In this way the energy spectrum in the three- and four-boson systems is computed. The lowest-energy states show finite-range effects absorbed in the construction of level functions that can be used to study real systems. Higher-energy levels are free from finite-range effects, therefore the corresponding level functions tend to the zero-range universal function. Using this property, a zero-range equation for the four-boson system is proposed and the four-boson universal function is computed.
Language: English
Open Access status: green
OpenAlex ID: W2300378262
FWCI: 1.418
Cites: 39
Cited by: 22
Related to: 10