${\Lambda }_c^{+}$- and ${\Lambda }_b$-hypernuclei

Abstract

${\Lambda }_c^{+}$- and ${\Lambda }_b$-hypernuclei are studied in the quark-meson coupling (QMC) model. Comparisons are made with the results for $\Lambda$-hypernuclei studied in the same model previously. Although the scalar and vector potentials felt by the $\Lambda$, ${\Lambda }_c^{+}$ and ${\Lambda }_b$ in the corresponding hypernuclei multiplet which has the same baryon numbers are quite similar, the wave functions obtained, e.g., for $1s_{1/2}$ state, are very different. The ${\Lambda }_c^{+}$ baryon 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 ${\Lambda }_b$ baryon density distributions in ${\Lambda }_b$-hypernuclei are much larger near the origin than those for the $\Lambda$ in the corresponding $\Lambda$-hypernuclei due to its heavy mass. It is also found that level spacing for the ${\Lambda }_b$ single-particle energies is much smaller than that for the $\Lambda$ and ${\Lambda }_c^{+}$.

Latex, 14 pages, 4 figures, text was extended, version to appear in Phys. Rev. C

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