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We present results for the invariant and helicity amplitudes in thetransitions $\Lambda_b\to\Lambda^{(\ast)}(J^P)+J/\psi$ where the$\Lambda^{(\ast)}(J^P)$ are $\Lambda(sud)$-type ground and excited states with$J^P$ quantum numbers $J^P=\frac12^{\pm},\frac32^{\pm}$. The calculations areperformed in the framework of a covariant confined quark model. This analysisis important for the identification of the hidden charm pentaquark states$P_c^+(4380)$ and $P_c^+(4450)$ which were discovered by the LHCb Coll. We alsodiscuss the possible New Physics effects in the exclusive decays $\bar{B}^0 \toD^{(\ast)} \tau^- \bar{\nu}_{\tau}$. We extend the Standard Model by takinginto account right-handed vector (axial), left- and right-handed(pseudo)scalar, and tensor current contributions. The $\bar{B}^0 \toD^{(\ast)}$ transition form factors are calculated in the full kinematic $q^2$range by employing a covariant quark model.

The invariant and helicity amplitudes in the transitions $\Lambda_b\to\Lambda^\ast(\frac12^\pm,\frac32^\pm)+J/\psi$