Resonance model study of kaon production baryon-baryon reactions for heavy-ion collisions

Abstract

The energy dependence of the total kaon production cross sections in baryon-baryon (N and Δ) collisions are studied in the resonance model, which is a relativistic tree-level treatment. This study is the first attempt to complete a systematic consistent investigation of the elementary kaon production reactions for both the pion-baryon and baryon-baryon reactions. Our model suggests that the magnitudes of the isospin-averaged total cross sections for the NN⃗NYK and ΔN⃗NYK (Y=Λ or Σ) reactions are almost equal at energies up to about 200 MeV above threshold. However, the magnitudes for the ΔN reactions become about 6 times larger than those for the NN reactions at energies about 1 GeV above threshold. Furthermore, the magnitudes of the isospin-averaged total cross sections for the NN⃗ΔYK reactions turn out to be comparable to those for the NN⃗NYK reactions at NN invariant collision energies about 3.1 GeV, and about 5 to 10 times larger at NN invariant collision energies about 3.5 GeV. The microscopic cross sections are parametrized in all isospin channels necessary for the transport model studies of kaon production in heavy-ion collisions. These cross sections are then applied in the relativistic transport model to study the sensitivity to the underlying elementary kaon production cross sections.