The Ξ- and Ξβ-hyperon mean free paths in nuclei are firstly
calculated in the relativistic mean field (RMF) theory. The real parts of the
optical potential are derived from the RMF approach, while the imaginary parts
are obtained from those of nucleons with the relations:
USIYβ=Ξ±ΟYββ USINβ and UVIYβ=Ξ±ΟYββ UVINβ . With the
assumption, the depth of the imaginary potential for Ξβ is
WΞβββ 3.5 MeV, and for Ξ is WΞβββ 7 MeV at
low incident energy. We find that, the hyperon mean free path decreases with
the increase of the hyperon incident energies, from 200 MeV to 800 MeV; and in
the interior of the nuclei, the mean free path is about 2βΌ3 fm for
Ξ, and about 4βΌ8 fm for Ξβ, depending on the hyperon
incident energy.Comment: 5 figures, 6 page