Pionic deuterium
Abstract
The strong interaction shift and broadening {\Gamma} in pionic deuterium have been determined in a high statistics study of the {\pi}D(3p - 1s) X-ray transition using a high-resolution crystal spectrometer. The pionic deuterium shift will provide constraints for the pion-nucleon isospin scattering lengths extracted from measurements of shift and broadening in pionic hydrogen. The hadronic broadening is related to pion absorption and production at threshold. The results are \epsilon = (-2356 {\pm} 31)meV (repulsive) and {\Gamma}1s = (1171+23/-49) meV yielding for the complex {\pi}D scattering length a = [-(24.99 {\pm} 0.33) + i (6.22+0.12/-0.26)]x10-3/m{\pi}. From the imaginary part, the threshold parameter for pion production is obtained to be {\alpha} = (251 +5/-11) {\mu}b. This allows, in addition, and by using results from pion absorption in 3He at threshold, the determination of the effective couplings g0 and g1 for s-wave pion absorption on isoscalar and isovector NN pairs.
Cite
@article{arxiv.1011.2415,
title = {Pionic deuterium},
author = {Th. Strauch and F. D. Amaro and D. Anagnostopoulos and P. Bühler and D. S. Covita and H. Gorke and D. Gotta and A. Gruber and A. Hirtl and P. Indelicato and E. -O. Le Bigot and M. Nekipelov and J. M. F. dos Santos and Ph. Schmid and S. Schlesser and L. M. Simons and M. Trassinelli and J. F. C. A. Veloso and J. Zmeskal},
journal= {arXiv preprint arXiv:1011.2415},
year = {2011}
}
Comments
19 pages, 14 figures, 8 tables accepted for publication in EPJA