How to extract the $\Lambda N$ scattering length from production reactions

Abstract

A dispersion integral is derived that allows one to relate directly (spin dependent) $\Lambda N$ invariant mass spectra, measured in a large-momentum transfer reaction such as $pp\to K^{+}p\Lambda$ or $\gamma d\to K^{+}n\Lambda$, to the scattering length for elastic $\Lambda N$ scattering. The involved systematic uncertainties are estimated to be smaller than 0.3 fm. This estimate is confirmed by comparing results of the proposed formalism with those of microscopic model calculations. We also show, for the specific reaction $pp\to K^{+}\Lambda p$, how polarization observables can be used to separate the two spin states of the $\Lambda N$ system.

arXiv comment23 pages, 4 figures, submitted to Phys. Rev. C

References in corpus (12)

• Soft-core hyperon-nucleon potentials
• Total Cross Section of the Reaction pp \to pK^+ΛClose to Threshold
• Comparison of Lambda and Sigma(0) Threshold Production in Proton-Proton Collisions
• The reactions $pp\to p\Lambda K^{+}$ and $pp\to p{\Sigma }^0{K}^{+}$ near their thresholds
• An analysis of the reaction pp --> ppηnear threshold
• Inclusive $K^{+}$ and exclusive $K^{+}Y$ photoproduction on the deuteron: $\Lambda$- and $\Sigma$-threshold phenomena
• Low-Energy $Λ-\p$ Scattering Parameters from the $pp\to p{K}^{+}\Lambda$ Reaction
• Role of N*(1650) in the near threshold pp --> p Lambda K+ and pp --> p Sigma0 K+ reactions
• Pion electromagnetic formfactor in the space-like region and $P$-phase ${\delta }_1^1(s)$ of $\pi \pi$ scattering from the value of the modulus of formfactor in the time-like region.
• SU(3) Einstein-Yang-Mills-Dilaton Sphalerons and Black Holes
• Lambda-Neutron Scattering Lengths from Radiative K-minus Capture
• Hyperon-Nucleon Final State Interaction in Kaon Photoproduction of the Deuteron

Cited by in corpus (36)

• Modern Theory of Nuclear Forces
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Near threshold enhancement of the ppbar mass spectrum in J/Psi decay
• Exploring Hyperons and Hypernuclei with Lattice QCD
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Hyperon-Nucleon Interactions and the Composition of Dense Nuclear Matter from Quantum Chromodynamics
• Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
• Coupled-channel effects in hadron-hadron correlation functions
• The reaction pi+ p --> K+ Sigma+ in a unitary coupled-channels model
• Hadronic Interactions from Lattice QCD
• 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)
• Implications of an increased $\Lambda$-separation energy of the hypertriton
• Re-examining the $X(4630)$ resonance in the reaction $e^{+}{e}^{-}\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$
• Extraction of scattering lengths from final-state interactions
• Scattering lengths of strangeness S=-2 baryon-baryon interactions
• Analysis of the Lambda p Final State Interaction in the Reaction p+p->K^+(Lambda p)
• Final-State Interactions in the Process pp -> pKLambda
• Effective Field Theory calculations of $NN\to NN\pi$
• Phenomenology of the Lambda/Sigma^0 production ratio in pp collisions
• Determination of N* amplitudes from associated strangeness production in p+p collisions
• Hyperon production in near threshold nucleon-nucleon collisions
• Chiral Corrections to Hyperon Axial Form Factors
• Exploring the ${\Sigma }^{+}p$ interaction by measurements of the correlation function
• 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
• On the structure in the $\Lambda N$ cross section at the $\Sigma N$ threshold
• Lambda-N scattering length from the reaction gamma d -> K^+ Lambda n
• Upper limits for a narrow resonance in the reaction p + p -> K^+ + (Lambda p)
• Pion reactions on two--nucleon systems
• The extraction of parameters from final state interactions
• Strangeness Production in pp and pn Reactions at COSY
• 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