Strong Interaction Shift and Width of the 1<i>s</i>Level in Pionic Hydrogen

Sigg, D.; Badertscher, A.; Bogdan, M.; Goudsmit, P.F.A.; Leisi, H.J.; Matsinos, E.; Schröder, H.-Ch.; Zhao, Z.G.; Chatellard, D.; Egger, J.‐P.; Jeannet, E.; Aschenauer, E. C.; Gabathuler, K.; Simons, L. M.; Hassani, A.

doi:10.1103/physrevlett.75.3245

Cited by 65 publications

(64 citation statements)

References 14 publications

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“…The threshold data from pionic hydrogen and deuterium are obtained from the PSI experiments of [1,2,3,4]. According to preliminary results from PSI experiments [50], these results could change in the near future with a consequence in the extracted values of b 0 , b 1 .…”

Section: Resultsmentioning

confidence: 99%

“…The experimental data from where (b 0 , b 1 ) are usually extracted are the shift and width of pionic hydrogen and deuterium atoms. From the recent measurements at PSI one deduces the elastic π − p plus the π − p → π 0 n transition scattering lengths [1,2,3,4]. Using in addition the measured a π − d amplitude [4,5] in order to determine the isospin even and odd combinations…”

Section: Introductionmentioning

confidence: 99%

“…[17] the values of (b 0 , b 1 ) have been calculated from the pion deuteron scattering length up to NNLO in chiral perturbation theory including the L (2) and L (3) πN Lagrangians. Using realistic deuteron wave functions, and other modifications, the authors reobtain the double and triple scattering formulas in the isospin limit.…”

Section: Introductionmentioning

confidence: 99%

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s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

2004

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The isoscalar and isovector scattering lengths (b0, b1) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy πN scattering data, the free parameters of the model are calculated. Isospin violation is incorporated to a certain extent by working with physical particle masses. For the deuterium scattering length a π − d new significant corrections concerning real and imaginary parts are evaluated, putting new constraints from π − d scattering on the values of (b0, b1). In particular, dispersion corrections, the influence of the ∆(1232) resonance, crossed terms and multiple scattering in a Faddeev approach are considered.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

2004

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“…The hadronic shift of the 3p → 1s transition and the total 1s width has recently been measured at PSI [13]. To analyze this experiment we use quantum inversion for the determination of the hadronic potentials.…”

Section: B πN Scattering Lengths and πN N Coupling Constantsmentioning

confidence: 99%

“…To account for the full experimental width one has to correct the partial width with the Panofsky ratio P = 1.546 ± 0.009 [13] Γ ns = 1 + 1…”

Section: B πN Scattering Lengths and πN N Coupling Constantsmentioning

confidence: 99%

Inversion potentials for meson-nucleon and meson-meson interactions

Sander

Geramb

1997

Inverse and Algebraic Quantum Scattering Theory

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Two-body interactions of elementary particles are useful in particle and nuclear physics to describe qualitatively and quantitatively few-and many-body systems. We are extending for this purpose the quantum inversion approach for systems consisting of nucleons and mesons. From the wide range of experimentally studied two-body systems we concentrate here on πN , ππ, K + N , Kπ and KK. As input we require results of phase shift analyses. Quantum inversion Gelfand-Levitan and Marchenko single and coupled channel algorithms are used for Schrödinger type wave equations in partial wave decomposition. The motivation of this study comes from our two approaches: to generate and investigate potentials directly from data by means of inversion and alternatively use linear and nonlinear boson exchange models. The interesting results of inversion are coordinate space informations about radial ranges, strengths, long distance behaviors, resonance characteristics, threshold effects, scattering lengths and bound state properties.

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Muonic, Mesonic, and Baryonic Atoms and Molecules: Addendum

Hartmann

2003

Digital Encyclopedia of Applied Physics

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

Cited by 65 publications

References 14 publications

s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

Inversion potentials for meson-nucleon and meson-meson interactions

Muonic, Mesonic, and Baryonic Atoms and Molecules: Addendum

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