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arXiv · 1011.2415

Pionic deuterium

Th. Strauch·F. D. Amaro·D. Anagnostopoulos·P. Bühler·D. S. Covita·H. Gorke·D. Gotta·A. Gruber·A. Hirtl·P. Indelicato·E. -O. Le Bigot·M. Nekipelov·J. M. F. dos Santos·Ph. Schmid·S. Schlesser·L. M. Simons·M. Trassinelli·J. F. C. A. Veloso·J. Zmeskal
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Abstract

The strong interaction shift $\epsilon$ 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.

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Th. Strauch, F. D. Amaro, D. Anagnostopoulos, P. Bühler, D. S. Covita, H. Gorke, D. Gotta, A. Gruber, A. Hirtl, P. Indelicato, E. -O. Le Bigot, M. Nekipelov, J. M. F. dos Santos, Ph. Schmid, S. Schlesser, L. M. Simons, M. Trassinelli, J. F. C. A. Veloso, J. Zmeskal. 2010-11-10. Pionic deuterium. https://doi.org/10.1140/epja/i2011-11088-1

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