English

Many-body fits of phase-equivalent effective interactions

Nuclear Theory 2014-11-21 v1 Quantum Gases

Abstract

In many-body theory it is often useful to renormalize short-distance, high-momentum components of an interaction via unitary transformations. Such transformations preserve the on-shell physical observables of the two-body system (mostly phase-shifts, hence unitarily-connected effective interactions are often called phase-equivalent), while modifying off-shell T-matrix elements influential in many-body systems. In this paper I lay out a general and systematic approach for controlling the off-shell behavior of an effective interaction, which can be adjusted to many-body properties, and present an application to trapped fermions at the unitary

Keywords

Cite

@article{arxiv.1009.3880,
  title  = {Many-body fits of phase-equivalent effective interactions},
  author = {Calvin W. Johnson},
  journal= {arXiv preprint arXiv:1009.3880},
  year   = {2014}
}

Comments

4 pages, 1 figure; accepted for publication as Rapid Communication in Physical Review C

R2 v1 2026-06-21T16:16:23.563Z