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Correlated Gaussian Hyperspherical Method for Few-Body Systems

Atomic Physics 2014-11-18 v1 Quantum Gases Nuclear Theory

Abstract

We develop an innovative numerical technique to describe few-body systems. Correlated Gaussian basis functions are used to expand the channel functions in the hyperspherical representation. The method is proven to be robust and efficient compared to other numerical techniques. The method is applied to few-body systems with short range interactions, including several examples for three- and four-body systems. Specifically, for the two-component, four-fermion system, we extract the coefficients that characterize its behavior at unitarity.

Keywords

Cite

@article{arxiv.0904.1405,
  title  = {Correlated Gaussian Hyperspherical Method for Few-Body Systems},
  author = {Javier von Stecher and Chris H. Greene},
  journal= {arXiv preprint arXiv:0904.1405},
  year   = {2014}
}

Comments

13 pages, 2 figures, 2 tables

R2 v1 2026-06-21T12:49:36.232Z