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arXiv · 1903.00034

Renormalization of a Finite Range Inverse Cube Potential

Daniel Odell·Arnoldas Deltuva·Jose Bonilla·Lucas Platter
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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.

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Daniel Odell, Arnoldas Deltuva, Jose Bonilla, Lucas Platter. 2019-09-20. Renormalization of a Finite Range Inverse Cube Potential. https://doi.org/10.1103/physrevc.100.054001

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