A phenomenological negatively charged pion-proton scattering length from pionic hydrogen
High Energy Physics - Phenomenology
2009-11-10 v2 Nuclear Theory
Abstract
We derive a closed, model independent, expression for the electromagnetic correction factor to a phenomenological hadronic scattering length extracted from a hydrogenic atom. It is obtained in a non-relativistic approach and in the limit of a short ranged hadronic interaction to terms of order ((alpha)**2)(log(alpha)) using an extended charge distribution. A hadronic negatively charged pion-proton scattering length of 0.0870(5), in units of inverse charged pion-mass, is deduced, leading to a pion-nucleon coupling constant from the GMO relation equals to 14.04(17).
Keywords
Cite
@article{arxiv.hep-ph/0310134,
title = {A phenomenological negatively charged pion-proton scattering length from pionic hydrogen},
author = {T. E. O. Ericson and B. Loiseau and S. Wycech},
journal= {arXiv preprint arXiv:hep-ph/0310134},
year = {2009}
}
Comments
11 pages, a revised and extended version with added references, accepted for publication in Physics Letters B