Abstract
The strong-interaction shift ε πD1s and broadening Γ πD1s in pionic deuterium have been determined in a high statistics study of the πD(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 ε πD1s = (−2356 ± 31) meV (repulsive) and Γ πD1s meV yielding for the complex πD scattering length a πD = [−(24.99±0.33)+i(6.22 +0.12−0.26 )] × 10−3 m −1 π . From the imaginary part, the threshold parameter for pion production is obtained to be α = (251 +5−11 ) μb. This allows, in addition, and by using results from pion absorption in 3He at threshold, the determination of the effective couplings g 0 and g 1 for s-wave pion absorption on isoscalar and isovector NN pairs.
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Strauch, T., Amaro, F.D., Anagnostopoulos, D.F. et al. Pionic deuterium. Eur. Phys. J. A 47, 88 (2011). https://doi.org/10.1140/epja/i2011-11088-1
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DOI: https://doi.org/10.1140/epja/i2011-11088-1