Properties of charmed and bottom hadrons in nuclear medium: Results for Λc+\Lambda_c^+ and Λb\Lambda_b hypernuclei

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.Comment: 12 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 proceeding

On radiative muon capture in hydrogen

We analyze photon spectra in the radiative muon capture in hydrogen using amplitudes derived from chiral Lagrangians. The model can describe the high energy part of the photon spectra, measured recently at TRIUMF, reasonably well.Comment: extended version, 31 pages, 7 figures, LaTeX, Feynman, submitted to Phys. Rev.