Properties of charmed and bottom hadrons in nuclear medium: Results for ${\Lambda }_c^{+}$ and ${\Lambda }_b$ hypernuclei

Abstract

This reports our recent studies on changes in properties of heavy hadrons containing at least a charm or a bottom quark in nuclear matter, and that the results for the ${\Lambda }_c^{+}$ and ${\Lambda }_b$ hypernuclei are studied quantitatively. Comparisons are made with the results for the $\Lambda$ hypernuclei studied previously in the same approach. It is shown that although the scalar and vector potentials for the $\Lambda$, ${\Lambda }_c^{+}$ and ${\Lambda }_b$ in the hypernuclei multiplet with the same baryon numbers are quite similar, the wave functions obtained, e.g., for $1s_{1/2}$ state, are very different. The ${\Lambda }_c^{+}$ probability density distribution in ${}_{{\Lambda }_c^{+}}^{209}$Pb is much more pushed away from the center than that for the $\Lambda$ in ${}_{\Lambda }^{209}$Pb due to the Coulomb force. On the contrary, the ${\Lambda }_b$ probability density distributions in ${\Lambda }_b$ hypernuclei are much larger near the origin than those for the $\Lambda$ in the $\Lambda$ hypernuclei due to its heavy mass. A possibility of $B^{-}$ nuclear bound (atomic) states is also briefly discussed.

arXiv comment12 pages, 7 embedded figures, uses PTP-Tex environment (all included), Invited talk presented at YITP-RCNP Workshop on "Chiral Restoration in Nuclear Medium", October 7-9, 2002, YITP Kyoto University, Japan, to be published in the proceedings

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