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Абаев, Г. Н.; Дубровский, А. В.; Abaev, R. G.

doi:10.1023/a:1026338308128

Cited by 2 publications

(3 citation statements)

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“…It turns out that a two-parameter effective range approximation is valid up to q ≃ 0.14 GeV/c. The result for the scattering length a S31 a S31 ≡ a π + p = −0.0764 ± 0.0014 1/µ (12) is very stable. This result completes the discussion of the left hand side of eq.…”

Section: Pionic Hydrogenmentioning

confidence: 84%

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The Goldberger-Miyazawa-Oehme sum rule revisited

2007

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The Goldberger-Miyazawa-Oehme sum rule is used to extract the pion-nucleon coupling constant from experimental πN information. Chiral perturbation theory is exploited in relating the pionic hydrogen s-wave level shift and width results to the appropriate scattering lengths. The deduced value for the coupling is f 2 = 0.075 ± 0.002, where the largest source of uncertainty is the determination of the s-wave π − p scattering length from the atomic level shift measurement.PACS. 13.75.Gx Pion-baryon interactions -14.20.Dh Protons and neutrons

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Section: Pionic Hydrogenmentioning

confidence: 84%

“…For the π + p interaction a discrete phase shift analysis has been performed in the range k = 0.077 − 0.725 GeV/c at 77 different momenta [12]. Tromborg corrections [13] have been used to extract the hadronic amplitudes from the experimental data.…”

Section: Pionic Hydrogenmentioning

confidence: 99%

The Goldberger-Miyazawa-Oehme sum rule revisited

2007

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“…The resulting expansions give smooth forward isospin even and odd C-amplitudes, which can be used as a starting point for a phase shift analysis with fixed-t constraints as well as constraints for a discrete phase shift analysis [49]. Also, when the ∆-splitting corrections have been taken into account, the hadronic π ± p total cross sections can be calculated and used to evaluate the Goldberger-Miyazawa-Oehme sum rule [7].…”

Section: Discussionmentioning

confidence: 99%

Forward analysis of πN scattering with an expansion method

Metsä

2007

Eur. Phys. J. A

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Tiivistelmä The πN forward scattering data are analyzed using an expansion method, where the invariant amplitudes are represented by expansions satisfying the forward dispersion relations. The experimental errors of the data are taken into account through the covariance matrix of the coefficients of the expansions in a careful error analysis. From the results, some coefficients, c ± n0 , of the subthreshold expansions have been calculated with proper error bars. PACS. 13.75.Gx Pion-baryon interactions

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Cited by 2 publications

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The Goldberger-Miyazawa-Oehme sum rule revisited

The Goldberger-Miyazawa-Oehme sum rule revisited

Forward analysis of πN scattering with an expansion method

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