English

Renormalization of a Finite Range Inverse Cube Potential

Nuclear Theory 2019-11-13 v2

Abstract

We study the regularization and renormalization of a finite range inverse cube potential in the two- and three-body sectors. Specifically, we compare and contrast three different regulation schemes frequently used to study few-body systems as well as the associated renormalization group flows. We also calculate bound state and scattering observables over a wide range of cutoffs, demonstrating the sufficiency of a two-body contact interaction to renormalize two- and three-body observables. We supplement these plots with quantified analyses of the observables' residual cutoff dependence.

Keywords

Cite

@article{arxiv.1903.00034,
  title  = {Renormalization of a Finite Range Inverse Cube Potential},
  author = {Daniel Odell and Arnoldas Deltuva and Jose Bonilla and Lucas Platter},
  journal= {arXiv preprint arXiv:1903.00034},
  year   = {2019}
}

Comments

26 pages, 14 figures

R2 v1 2026-06-23T07:54:46.653Z