The hyperon mean free paths in the relativistic mean field

• Published in: Europhysics letters Vol. 75; no. 1; pp. 36 - 41
• Main Authors: Wang, Q. L, Dang, L, Zhong, X. H, Song, C. Y, Ning, P. Z
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.07.2006; EDP Sciences
• Subjects: 21.30.Fe; 21.65.+f
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/epl/i2006-10083-y

The Λ- and $\Xi^-$-hyperon mean free paths in finite nuclei are firstly calculated in the relativistic mean-field theory. The real optical potentials are derived from the RMF approach, while the imaginary parts are obtained from the assumptions: $U^{\mathrm{IY}}_{\mathrm{S}} = \alpha_{\sigma \mathrm{Y}}\cdot U_{\mathrm{S}}^{\mathrm{IN}}$ and $U^{\mathrm{IY}}_{\mathrm{V}} = \alpha_{\omega \mathrm{Y}}\cdot U_{\mathrm{V}}^{\mathrm{IN}}$. With these assumptions, the depth of the imaginary potential for $\Xi^-$ is $W_{\Xi}\simeq -3.5\un{MeV}$, and for Λ is $W_{\Lambda}\simeq -7\un{MeV}$ at low incident energy. We find that the hyperon MFP decreases with the increment of the incident energies of the hyperon (from $200\un{MeV}$ to $800\un{MeV}$); and in the nuclear interior, the MFP is about 2–$3\un{fm}$ for Λ, and about 4–$8\un{fm}$ for $\Xi^-$, depending on the incident energy of the hyperon.