2011
DOI: 10.1140/epja/i2011-11088-1
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Pionic deuterium

Abstract: The strong-interaction shift πD 1s and broadening Γ πD 1s 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 πD 1s = (−2356 ± 31) meV (repulsive)… Show more

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Cited by 56 publications
(31 citation statements)
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“…extracting σ πN from πN scattering, lies in controlling the required analytic continuation of the isoscalar πN amplitude into the unphysical region [86], which might even be sensitive to isospin-breaking corrections [87,88]. This analytic continuation can be stabilized with the help of the low-energy data that have become available in recent years thanks to accurate pionic-atom measurements [89,90], leading to a precise extraction of the πN scattering lengths [91,92]. A systematic analysis of πN scattering based on this input as well as constraints from unitarity, analyticity, and crossing symmetry along the lines…”
Section: Jhep07(2015)129mentioning
confidence: 99%
“…extracting σ πN from πN scattering, lies in controlling the required analytic continuation of the isoscalar πN amplitude into the unphysical region [86], which might even be sensitive to isospin-breaking corrections [87,88]. This analytic continuation can be stabilized with the help of the low-energy data that have become available in recent years thanks to accurate pionic-atom measurements [89,90], leading to a precise extraction of the πN scattering lengths [91,92]. A systematic analysis of πN scattering based on this input as well as constraints from unitarity, analyticity, and crossing symmetry along the lines…”
Section: Jhep07(2015)129mentioning
confidence: 99%
“…[28] gives the value of theKd scattering length, obtained by the solution of the Faddeev equations with the one-channel energy-independent optical potential. The parameters of this potential were adjusted to reproduce the scattering lengths (22). The calculation, carried in Ref.…”
Section: The Role Of Recoil Effects For Kaonic Deuteriummentioning
confidence: 99%
“…What makes the experiments with kaonic deuterium extremely important is the fact that the S-waveKN scattering lengths are complex-valued, in difference, e.g., to the πN scattering lengths, which are real quantities. The πN scattering lengths can be, in principle, determined directly on the basis of π − H data alone [21] while the level shift of the pionic deuterium [22] is used as a complementary information to improve the accuracy in the extraction of the πN scattering lengths, see Ref. [23] for the results of the latest combined analysis of pionic atoms.…”
Section: Introductionmentioning
confidence: 99%
“…[28] gives the value of theKd scattering length, obtained by the solution of the Faddeev equations with the one-channel energy-independent optical potential. The parameters of this potential were adjusted to reproduce the scattering lengths (22). The calculation, carried in Ref.…”
Section: The Role Of Recoil Effects For Kaonic Deuteriummentioning
confidence: 99%