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

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

1998-01-29

arxiv.org/abs/nucl-th/9801063v3

Phys.Rev.C59:369-387,1999; Erratum-ibid.C61:029903,2000

Physics

Nuclear Physics

Nuclear Theory

Latex, 47 pages, 23 postscript figures. Typos in the published version, which informed as errata to the editor, are corrected

Scientific paper

10.1103/PhysRevC.59.369

The energy dependence of the total kaon production cross sections in baryon baryon ($N$ and $\Delta$) 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 $N N \to N Y K$ and $\Delta N \to N Y K$ ($Y = \Lambda$ or $\Sigma$) reactions are almost equal at energies up to about 200 MeV above threshold. However, the magnitudes for the $\Delta N$ reactions become about 6 times larger than those for the $N N$ reactions at energies about 1 GeV above threshold. Furthermore, the magnitudes of the isospin-averaged total cross sections for the $N N \to \Delta Y K$ reactions turn out to be comparable to those for the $N N \to N Y K$ reactions at $N N$ invariant collision energies about 3.1 GeV, and about 5 to 10 times larger at $N N$ 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.

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