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How to extract theΛNscattering length from production reactions

2003/11/10 by A. M. Gasparyan, A. Gasparyan, J. Haidenbauer +2 · 1 citation
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.69.034006

published as Phys.Rev. C69 (2004) 034006 · 23 pages, 4 figures, submitted to Phys. Rev. C

arxiv created 2003/11/10 · openalex publication_date 2004/03/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A dispersion integral is derived that allows one to relate directly (spin-dependent) \ensuremathΛN invariant mass spectra, measured in a large-momentum transfer reaction such as pp\ensuremath→K+p\ensuremathΛ or \ensuremathγd\ensuremath→K+n\ensuremathΛ, to the scattering length for elastic \ensuremathΛN scattering. The involved systematic uncertainties are estimated and could be 0.3\phantom\rule0.3em0exfm or even smaller. 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\ensuremath→K+\ensuremathΛp, how polarization observables can be used to separate the two spin states of the \ensuremathΛN system.

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