Causality constraints for charged particles
Abstract
In quantum systems with short-range interactions, causality imposes nontrivial constraints on low-energy scattering parameters. We investigate these causality constraints for systems where a long-range Coulomb potential is present in addition to a short-range interaction. The main result is an upper bound for the Coulomb-modified effective range parameter. We discuss the implications of this bound to the effective field theory for nuclear halo systems. In particular, we consider several examples of proton--nucleus and nucleus--nucleus scattering. For the bound-state regime, we find relations for the asymptotic normalization coefficients (ANCs) of nuclear halo states. As an application of these relations, we extract the ANCs of the excited 2+ and 1- states in O-16 from alpha--C-12 scattering data.
Keywords
Cite
@article{arxiv.1210.8304,
title = {Causality constraints for charged particles},
author = {Sebastian König and Dean Lee and H. -W. Hammer},
journal= {arXiv preprint arXiv:1210.8304},
year = {2013}
}
Comments
34 pages, 6 figures, published version