$Λ^+_c$- and $Λ_b$-hypernuclei

Details $Λ^+_c$- and $Λ_b$-hypernuclei $Λ^+_c$- and $Λ_b$-hypernuclei

2002-07-26

arxiv.org/abs/nucl-th/0207077v2

Phys.Rev. C67 (2003) 015211

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.67.015211

$\Lambda^+_c$- 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 $^{209}_{\Lambda^+_c}$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 $\Lambda_b$ 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 $\Lambda^+_c$.

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