Properties of charmed and bottom hadrons in nuclear medium: Results for $Λ_c^+$ and $Λ_b$ hypernuclei

Details Properties of charmed and bottom hadrons in nuclear medium: Results for $Λ_c^+$ and $Λ_b$ hypernuclei Properties of charmed and bottom hadrons in nuclear medium: Results for $Λ_c^+$ and $Λ_b$ hypernuclei

2002-12-26

arxiv.org/abs/nucl-th/0212100v1

Prog.Theor.Phys.Suppl. 149 (2003) 160-172

Physics

Nuclear Physics

Nuclear Theory

12 pages, 7 embedded figures, uses PTP-Tex environment (all included), Invited talk presented at YITP-RCNP Workshop on "Chiral

Scientific paper

10.1143/PTPS.149.160

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 $^{209}_{\Lambda^+_c}$Pb is much more pushed away from the center than that for the $\Lambda$ in $^{209}_\Lambda$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.

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