Renormalization of a finite-range inverse-cube potential

D. Odell, A. Deltuva, J. Bonilla, and L. Platter

Phys. Rev. C 100, 054001 – Published 4 November 2019

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 (RG) 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 dependences.

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Received 5 March 2019
Revised 19 July 2019

DOI:https://doi.org/10.1103/PhysRevC.100.054001

Physics Subject Headings (PhySH)

Effective field theory Few-body systems Nucleon-nucleon interactions

Nuclear Physics

Authors & Affiliations

D. Odell ¹, A. Deltuva², J. Bonilla¹, and L. Platter^1,3

¹Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
²Institute of Theoretical Physics and Astronomy, Vilnius University, Saulėtekio al. 3, LT-10257 Vilnius, Lithuania
³Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA

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Vol. 100, Iss. 5 — November 2019

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Physical Review C

covering nuclear physics