Removing the Wigner bound in non-perturbative effective field theory

Saar Beck*, Betzalel Bazak, Nir Barnea

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The Wigner bound, setting an upper limit on the scattering effective range, is examined at different orders of contact effective field theory. Using cutoff regulator we show that the bound loosens when higher orders of the theory are considered. For a sharp and Gaussian regulators, we conjecture an analytic formula for the dependence of the Wigner bound on the theory's order. It follows that the bound vanishes in the limit of infinite order. Using a concrete numerical example we demonstrate that the above surmise still holds after renormalization at finite cutoff. Studying the 3-body system with this example, we have found that limiting the permissible range of cutoffs by the Wigner bound, we avoid the Thomas collapse, and don't need to promote the 3-body force to leading order.

Original languageAmerican English
Article number135485
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume806
DOIs
StatePublished - 10 Jul 2020

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