Renormalization of a Finite Range Inverse Cube Potential

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.

arXiv comment26 pages, 14 figures

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Cited by in corpus (5)

• Nuclear effective field theory: status and perspectives
• Contact operators in renormalization of attractive singular potentials
• Two-pion exchange as a leading-order contribution in chiral effective field theory
• The van der Waals interaction as the starting point for an effective field theory
• Residual cut-off dependence and power counting: the deuteron as a case study