Strong Interaction Shift and Width of the 1sLevel in Pionic Hydrogen

30 October 1995

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 75 (18) , 3245-3248
https://doi.org/10.1103/physrevlett.75.3245

Abstract

The

3 p - 1 s

x-ray line of pionic hydrogen was measured with a reflecting bent crystal spectrometer. The strong interaction energy level shift and the total decay width of the

1 s

state, obtained from the transition energy and the linewidth, are

ɛ_{1 s} = - 7.127 \pm 0.028 (stat) \pm 0.036 (syst) eV

(attractive) and

γ_{1 s} = 0.97 \pm 0.10 (stat) \pm 0.05 (syst) eV

. The corresponding hadronic

π N

s-wave scattering lengths for elastic scattering and single charge exchange are

a_{π^{-} p \to π^{-} p}^{h} = 0.0885 \pm {0.0009 m}_{π}^{- 1}

and

a_{π^{-} p \to π^{0} n}^{h} = - 0.136 \pm {0.010 m}_{π}^{- 1}

Keywords

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