Extraction of scattering lengths from final-state interactions

Abstract

A recently proposed method based on dispersion theory, that allows to extract the scattering length of a hadronic two-body system from corresponding final-state interactions, is generalized to the situation where the Coulomb interaction is present. The steps required in a concrete practical application are discussed in detail. In addition a thorough examination of the accuracy of the proposed method is presented and a comparison is made with results achieved with other methods like the Jost-function approach based on the effective-range approximation. Deficiencies of the latter method are pointed out. The reliability of the dispersion theory method for extracting also the effective range is investigated.

16 pages, 6 figures, some corrections to text, to appear in Phys. Rev. C

References in corpus (7)

• The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
• How to extract the $\Lambda N$ scattering length from production reactions
• Dependence of calculated binding energies and widths of $\eta$-mesic nuclei on treatment of subthreshold $\eta$-nucleon interaction
• The $\eta$-3N problem with separable interactions
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Cited by in corpus (20)

• On the near-threshold $\bar{p}p$ invariant mass spectrum measured in $J/\psi$ and ${\psi }^{\prime }$ decays
• p-Wave pion production from nucleon-nucleon collisions
• High resolution study of the Lambda p final state interaction in the reaction p + p -> K+ + (Lambda p)
• Scattering lengths of strangeness S=-2 baryon-baryon interactions
• Final-State Interactions in the Process pp -> pKLambda
• Effective Field Theory calculations of $NN\to NN\pi$
• Eta meson production in nucleon-nucleon collisions within an effective Lagrangian model
• Hyperon production in near threshold nucleon-nucleon collisions
• Exploring the ${\Sigma }^{+}p$ interaction by measurements of the correlation function
• Testing the nature of the $\Lambda (1520)$ resonance in proton-induced production
• First Model-Independent Measurement of the Spin Triplet $p\Lambda$ Scattering Length from Final State Interaction in the $\vec{p}p\to p{K}^{+}\Lambda$ Reaction
• The pp -> K^+Sigma^+n cross section from missing mass spectra
• The pp->p Lambda K+ and pp->p Sigma0 K+ reactions with chiral dynamics
• Lambda-N scattering length from the reaction gamma d -> K^+ Lambda n
• $\Lambda \bar{\Lambda }$ final-state interaction in the reactions $e^{+}{e}^{-}\to \varphi \Lambda \bar{\Lambda }$ and $e^{+}{e}^{-}\to \eta \Lambda \bar{\Lambda }$
• Pion reactions on two--nucleon systems
• The extraction of parameters from final state interactions
• Non-Strange Meson Production with Hadronic Probes
• Phenomenological study of the pp -> pi+ pn reaction
• Combined Partial Wave Analysis for the description of exclusive $p+p\to p+K^{+}+\Lambda$ production