Low-energy theorems for nucleon-nucleon scattering at $M_{\pi}=450$ MeV
Abstract
We apply the low-energy theorems to analyze the recent lattice QCD results for the two-nucleon system at a pion mass of MeV obtained by the NPLQCD collaboration. We find that the binding energies of the deuteron and dineutron are inconsistent with the low-energy behavior of the corresponding phase shifts within the quoted uncertainties and vice versa. Using the binding energies of the deuteron and dineutron as input, we employ the low-energy theorems to predict the phase shifts and extract the scattering length and the effective range in the and channels. Our results for these quantities are consistent with those obtained by the NPLQCD collaboration from effective field theory analyses but are in conflict with their determination based on the effective-range approximation.
Keywords
Cite
@article{arxiv.1604.02551,
title = {Low-energy theorems for nucleon-nucleon scattering at $M_{\pi}=450$ MeV},
author = {V. Baru and E. Epelbaum and A. A. Filin},
journal= {arXiv preprint arXiv:1604.02551},
year = {2016}
}