Determination of pi-N scattering lengths from pionic hydrogen and pionic deuterium data
Abstract
The pi-N s-wave scattering lengths have been inferred from a joint analysis of the pionic hydrogen and the pionic deuterium x-ray data using a non-relativistic approach in which the pi-N interaction is simulated by a short-ranged potential. The pi-d scattering length has been calculated exactly by solving the Faddeev equations and also by using a static approximation. It has been shown that the same very accurate static formula for pi-d scattering length can be derived (i) from a set of boundary conditions; (ii) by a reduction of Faddeev equations; and (iii) through a summation of Feynman diagrams. By imposing the requirement that the pi-d scattering length, resulting from Faddeev-type calculation, be in agreement with pionic deuterium data, we obtain bounds on the pi-N scattering lengths. The dominant source of uncertainty on the deduced values of the pi-N scattering lengths are the experimental errors in the pionic hydrogen data.
Keywords
Cite
@article{arxiv.nucl-th/0104067,
title = {Determination of pi-N scattering lengths from pionic hydrogen and pionic deuterium data},
author = {A. Deloff},
journal= {arXiv preprint arXiv:nucl-th/0104067},
year = {2009}
}
Comments
RevTeX, 20 pages,4 PostScript figures