𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Electromagnetic corrections to the s-wave scattering lengths in pionic hydrogen

✍ Scribed by D. Sigg; A. Badertscher; P.F.A. Goudsmit; H.J. Leisi; G.C. Oades

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
806 KB
Volume
609
Category
Article
ISSN
0375-9474

No coin nor oath required. For personal study only.

✦ Synopsis

Motivated by the recently performed X-ray precision experiments on pionic hydrogen (preceding paper), we reconsider the problem of electromagnetic corrections to the 7r -N scattering lengths. Based on a relativistic two-channel approach, we find corrections to the ~r-p elastic and single-charge-exchange (SCE) scattering lengths due to the point-Coulomb interaction, the finitesize Coulomb interaction (including the pion size), the first-order vacuum polarization (Uehling potential) and the (~--p) -(~-Β°n) mass difference (mass difference effect). We also estimate the contribution due to the (T, n) decay channel. The total corrections to the elastic and the SCE scattering lengths are found to be 8~ = -(2.1 Β± 0.5) Γ— 10 -2 and 8r = -(1.3 Β± 0.5) Γ— 10 -2. Previously published values for the corrections are critically compared with our results.

πŸ“œ SIMILAR VOLUMES

Electromagnetic corrections to ππ scatte
Electromagnetic corrections to ππ scattering lengths: Some lessons for the construction of effective hadronic field theories
✍ K. Maltman; C.E. Wolfe πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 425 KB

Using the framework of effective chiral Lagrangians, we show that, in order to correctly implement electromagnetism (EM), as generated from the Standard Model, into effective hadronic theories (such as meson-exchange models) it is insufficient to consider only graphs in the low-energy effective theo

Determination of the s-wave pion–nucleon
Determination of the s-wave pion–nucleon threshold scattering parameters from the results of experiments on pionic hydrogen
✍ G.C. Oades; G. Rasche; W.S. Woolcock; E. Matsinos; A. Gashi πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 166 KB

We give the conversion equations which lead from experimental values of the 3p β†’ 1s transition energy in pionic hydrogen and the total width of the 1s level to values of the s-wave threshold scattering parameters for the processes Ο€ -p β†’ Ο€ -p and Ο€ -p β†’ Ο€ 0 n respectively. Using a three-channel pote