New precision measurement of the pionic deuterium<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>-wave strong interaction parameters

Hauser, Peter C.; Kirch, K.; Simons, L. M.; Borchert, G.; Gotta, D.; Siems, Th.; El‐Khoury, Patrick Z.; Indelicato, P.; Augsburger, Marc; Chatellard, D.; Egger, J.‐P.; Anagnostopoulos, D. F.

doi:10.1103/physrevc.58.r1869

Cited by 67 publications

(57 citation statements)

References 11 publications

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“…[82], both in units of the inverse pion mass as before. Both of these data are consistent with each other, and particularly the imaginary parts are also consistent with the model calculations in Refs.…”

Section: Discussionmentioning

confidence: 99%

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Low energyK¯Ninteractions and Faddeev calculation of theK−dscattering length in isospin and particle

et al. 2003

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KN interactions are investigated via an effective non-linear chiral meson-baryon Lagrangian. The adjustable parameters are determined by a fitting procedure on the K − p threshold branching ratios and total cross-section data for p lab K ≤ 250 MeV/c. We produce predictions for the Σπ mass spectrum, and scattering lenghts a K − p , an(K − n → K − n), a 0 n (K 0 n → K 0 n), and aex(K − p → K 0 n). The KN amplitudes thus obtained, as well as those for other two-body channels (πN , N N , and Y N ) are used as input to predict the scattering length A K − d , for which we have devised a relativistic version of the three-body Faddeev equations. Results for all two-and three-body coupled channels are reported both in isospin and particle bases. All available KN data are well reproduced and our best results for the K − p and K − d scattering lenghts are a K − p = (−0.90 + i0.87) fm and A K − d = (−1.80 + i1.55) fm.

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Section: Discussionmentioning

confidence: 99%

“…A couple of recent papers have reported an extraction of A π − d from the pionic deuterium atomic transitions, Refs. [33,81,82], using the Deser-Trueman formula [25] to find (Coulomb interaction included):…”

Section: Discussionmentioning

confidence: 99%

Low energyK¯Ninteractions and Faddeev calculation of theK−dscattering length in isospin and particle

et al. 2003

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“…The potentially most accurate experimental source for a determination of the isoscalar combination a + is the π − d scattering length [1,2]. To leading order this scattering length is given by the coherent sum…”

Section: Determination Of the πN Scattering Lengthsmentioning

confidence: 99%

Precision determination of the πN scattering lengths and the charged πNN coupling constant

2000

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We critically evaluate the isovector GMO sumrule for the charged πNN coupling constant using recent precision data from π − p and π − d atoms and with careful attention to systematic errors. From the π − d scattering length we deduce the pion-proton scattering lengths 1 2 (a π − p + a π − n ) = (−20 ± 6(statistic)±10 (systematic)) ·10 −4 m −1 πc andπc . From this a direct evaluation gives g 2 c (GMO)/4π = 14.20 ± 0.07(statistic)±0.13(systematic) or f 2 c /4π = 0.0786 ± 0.0008.

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“…We use the recent measurements of the total widths of the 1S atomic states of 0.86±0.07 eV in pionic hydrogen (Schroeder et al [42]) and 1.13±0.13 eV in pionic deuterium (Hauser et al [43]). Combined with our absolute branching ratios they yield partial widths of Γ 1S = 26.0 ± 4.1 µeV for hydrogen and Γ 1S = 16.2 ± 2.5 µeV for deuterium.…”

Section: A Branching Ratios For Hydrogen and Deuteriummentioning

confidence: 99%

Double radiative pion capture on hydrogen and deuterium and the nucleon's pion cloud

et al. 2007

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We report measurements of double radiative capture in pionic hydrogen and pionic deuterium. The measurements were performed with the RMC spectrometer at the TRIUMF cyclotron by recording photon pairs from pion stops in liquid hydrogen and deuterium targets. We obtained absolute branching ratios of (3.02 ± 0.27(stat.) ± 0.31(syst.)) × 10 −5 for hydrogen and (1.42 ± 0.09 0.12 (stat.) ± 0.11(syst.)) × 10 −5 for deuterium, and relative branching ratios of double radiative capture to single radiative capture of (7.68 ± 0.69(stat.) ± 0.79(syst.)) × 10 −5 for hydrogen and (5.44 ± 0.34 0.46 (stat.) ± 0.42(syst.))×10 −5 for deuterium. For hydrogen, the measured branching ratio and photon energy-angle distributions are in fair agreement with a reaction mechanism involving the annihilation of the incident π − on the π + cloud of the target proton. For deuterium, the measured branching ratio and energyangle distributions are qualitatively consistent with simple arguments for the expected role of the spectator neutron. A comparison between our hydrogen and deuterium data and earlier beryllium and carbon data reveals substantial changes in the relative branching ratios and the energy-angle distributions and is in agreement with the expected evolution of the reaction dynamics from an annihilation process in S-state capture to a bremsstrahlung process in P-state capture. Lastly, we comment on the relevance of the double radiative process to the investigation of the charged pion polarizability and the in-medium pion field.

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New precision measurement of the pionic deuteriums-wave strong interaction parameters

Cited by 67 publications

References 11 publications

Low energyK¯Ninteractions and Faddeev calculation of theK−dscattering length in isospin and particle

Low energyK¯Ninteractions and Faddeev calculation of theK−dscattering length in isospin and particle

Precision determination of the πN scattering lengths and the charged πNN coupling constant

Double radiative pion capture on hydrogen and deuterium and the nucleon's pion cloud

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