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Electromagnetic corrections to the S wave scattering lengths ion pionic hydrogen

1996

16 pages

Published in:

Nucl.Phys.A 609 (1996) 310-325

DOI:

10.1016/S0375-9474(96)00238-2

View in:

Nuclear Science References

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Abstract: (Elsevier)

Motivated by the recently performed X-ray precision experiments on pionic hydrogen (preceding paper), we reconsider the problem of electromagnetic corrections to the π - N scattering lengths. Based on a relativistic two-channel approach, we find corrections to the π − p elastic and single-charge-exchange (SCE) scatering lengths due to the point-Coulomb interaction, the finite-size Coulomb interaction (including the pion size), the first-order vacuum polarization (Uehling potential) and the ( π − p ) - ( π 0 n ) mass difference (mass difference effect). We also estimate the contribution due to the ( γ , n ) decay channel. The total corrections to the elastic and the SCE scattering lengths are found to be δ ε = −(2.1 ± 0.5) × 10 −2 and δ Γ = −(1.3 ± 0.5) × 10 −2 . Previously published values for the corrections are critically compared with our results.

pi: mesic atom
hydrogen: mesic atom
pi nucleon: scattering length
scattering length: pi nucleon
elastic scattering
pi- p: charge exchange
charge exchange: pi- p
correction: electromagnetic
scattering: Coulomb
Coulomb: scattering

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