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26 April 2024
 
  » arxiv » nucl-th/0105067

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Self consistent propagation of hyperons and antikaons in nuclear matter based on relativistic chiral SU(3) dynamics
M.F.M. Lutz ; C.L. Korpa ;
Date 28 May 2001
Journal Nucl.Phys. A700 (2002) 309-329
Subject nucl-th
AffiliationGSI, Darmstadt) and C.L. Korpa (University of Pecs, Pecs
AbstractWe evaluate the antikaon spectral density in isospin symmetric nuclear matter. The in-medium antikaon-nucleon scattering process and the antikaon propagation is treated in a self consistent and relativistic manner where a maximally scheme-independent formulation is derived by performing a partial density resummation in terms of the free-space antikaon-nucleon scattering amplitudes. The latter amplitudes are taken from a covariant and chiral coupled-channel SU(3) approach which includes s-, p- and d-waves systematically. Particular care is taken on the proper evaluation of the in-medium mixing of the partial waves. Our analysis establishes a rich structure of the antikaon spectral function with considerable strength at small energies. At nuclear saturation density we predict attractive mass shifts for the $Lambda(1405)$, $Sigma (1385)$ and $Lambda(1520)$ of about 60 MeV, 60 MeV and 100 MeV respectively. The hyperon states are found to exhibit at the same time an increased decay width of about 120 MeV for the s-wave $Lambda(1405)$, 70 MeV for the p-wave $Sigma (1385)$ and 90 MeV for the d-wave $Lambda(1520)$ resonance.
Source arXiv, nucl-th/0105067
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