Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings

TL;DR

This paper investigates relationships among two-derivative pionless effective field theory couplings using large-$N_c$ expansion, finding consistent relationships with experimental data and emphasizing the importance of subtraction-point dependence.

Contribution

It introduces a combined approach of pionless EFT and large-$N_c$ expansion to derive relationships among low-energy constants, highlighting their experimental consistency.

Findings

Relationships among low-energy constants are consistent with experimental data.

Correct treatment of subtraction-point dependence is crucial.

Dual-expansion procedure is validated for low-energy few-body observables.

Abstract

We analyze two-derivative two-nucleon interactions in a combined pionless effective field theory and large-$N_c$ expansion. At leading order in the large-$N_c$ expansion, relationships among low-energy constants emerge. We find these to be consistent with experiment. However, it is critical to correctly address the subtraction-point dependence of the low-energy constants. These results provide additional confidence that the dual-expansion procedure is useful for analyzing low-energy few-body observables.