S-wave pion nucleon scattering lengths from $\pi N$, pionic hydrogen and deuteron data

Abstract

The isoscalar and isovector scattering lengths (b_0,b_1) 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 pi N 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_{pi-d} new significant corrections concerning real and imaginary parts are evaluated, putting new constraints from pi-d scattering on the values of (b_0,b_1). In particular, dispersion corrections, the influence of the Delta(1232) resonance, crossed terms and multiple scattering in a Faddeev approach are considered.

24 pages, 9 figures

References in corpus (5)

• Dispersion Relation Constrained Partial Wave Analysis of piN Elastic and piN\to\etaN Scattering Data: The Baryon Spectrum
• The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
• The role of the nucleon recoil in low--energy meson--nucleus reactions
• Low energy Kbar N interactions and Faddeev calculation of the K- d scattering length in isospin and particle bases
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Cited by in corpus (23)

• Baryon spectroscopy
• Chiral Perturbation Theory and Baryon Properties
• Chiral dynamics in the gamma p --> pi^0 eta p and gamma p --> pi^0 K^0 Sigma^+ reactions
• On the cross section ratio sigma_n/sigma_p in eta photoproduction
• Pionic deuterium
• Isospin-breaking corrections in the pion-deuteron scattering length
• The phase and pole structure of the N*(1535) in piN-->piN and gammaN-->piN
• Meson-baryon scattering lengths in HB$\chi$PT
• The pion-nucleon scattering lengths from pionic deuterium
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Role of the $N^{\ast }$(1535) in the $J/\psi \to \bar{p}\eta p$ and $J/\psi \to \bar{p}{K}^{+}\Lambda$ reactions
• Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
• On the Photoproduction Reactions $\gamma d\to \pi NN$
• The s-wave pion-nucleus optical potential
• Hadronic Atoms
• Near-threshold ${\pi }^{-}$ photoproduction on the deuteron
• Charge fluctuations and electric mass in a hot meson gas
• Pion reactions on two--nucleon systems
• A phenomenological determination of the pion-nucleon scattering lengths from pionic hydrogen
• Forward analysis of $\pi$N scattering with an expansion method
• The piNN system - recent progress