A Novel Regularization Scheme for Nucleon-Nucleon Lattice Simulations with Effective Field Theory
Abstract
We propose a new regularization scheme to study the bound state of two-nucleon systems in Lattice Effective Field Theory. Inspired by continuum EFT calculation, we study an exponential regulator acting on the leading-order (LO) and next-to-leading order (NLO) interactions, consisting of local contact terms. By fitting the low-energy coefficients (LECs) to deuteron binding energy and the asymptotic normalization coefficient (ANC) on a lattice simulation, we extract the effective range expansion (ERE) parameters in the channel to order . We explore the impact of different powers of the regulator on the extracted ERE parameters for the lattice spacing fm. Moreover, we investigate how the implementation of the regularization scheme improves the predicted ERE parameters on the lattice spacing in the range of fm. Our numerical analysis indicates that for lattice spacing greater than fm, the predicted observables are very close to the experimental data.
Keywords
Cite
@article{arxiv.2009.12402,
title = {A Novel Regularization Scheme for Nucleon-Nucleon Lattice Simulations with Effective Field Theory},
author = {M. Ahmadi and M. R. Hadizadeh and M. Radin and S. Bayegan},
journal= {arXiv preprint arXiv:2009.12402},
year = {2020}
}