Europhys. Lett.
Volume 67, Number 3, August 2004
Page(s) 355 - 361
Section Nuclear physics
Published online 01 July 2004
Europhys. Lett., 67 (3), pp. 355-361 (2004)
DOI: 10.1209/epl/i2003-10291-y

Heavy flavored baryon hypernuclei in a relativistic mean-field model

Yu-Hong Tan1 and Ping-Zhi Ning2

1  Theoretical Physics Division, Nankai Institute of Mathematics Nankai University - Tianjin 300071, PRC
2  Department of Physics, Nankai University - Tianjin 300071, PRC

(Received 12 November 2003; accepted in final form 14 May 2004)

We investigate the properties of heavy flavored baryon hypernuclei (i.e., $\Lambda_{c}^+$, $\Lambda_{b}$, $\Xi^+_c$ and $\Xi^0_c$ hypernuclei) within the framework of the relativistic mean-field model. It is found that no $\Lambda_{c}^+$ or $\Xi_c^+$ bound states could exist if the potential well depth $\vert U_{\Lambda_c^+}\vert\leq 10$ $\un{MeV}$ or $\vert U_{\Xi_c^+}\vert\leq
14$ $\un{MeV}$ in nuclear matter. If $\vert U_{\Lambda_c^+}\vert\leq
20$ $\un{MeV}$ or $\vert U_{\Xi_c^+}\vert\leq 18$ $\un{MeV}$, $\Lambda_{c}^+$ or $\Xi^+_c$ cannot bind to the very heavy nuclei, for example $\chem{{}^{208}Pb}$. We suggest that it is not necessary to consider heavy systems in the experimental searches for $\Lambda_{c}^+$ and $\Xi^+_c$ hypernuclei. Very small spin-orbit splittings for $\Lambda^+_c$, $\Xi^+_c$ and $\Xi^0_c$ hypernuclei are also observed. For $\Lambda_{b}$, however, it is nearly zero. We find that the positive charges of $\Lambda_{c}^+$ and $\Xi^+_c$ play a very important role in $\Lambda_{c}^+$ and $\Xi^+_c$ hypernuclei. It is indeed the heavier mass of the $\Lambda_{b}$-baryon that makes its level space smaller.

21.80.+a - Hypernuclei.
24.10.Cn - Many-body theory.

© EDP Sciences 2004