$B_s\to D_s(3040)$ form factors and $B_s$ decays into $D_s(3040)$

Abstract

Under the assignment of $D_s(3040)$ as a radially excited p-wave $\bar{c}s$ state with $J^P=1^{+}$, we compute the $B_s\to D_s(3040)$ form factors within the covariant light-front quark model. Two classification schemes for the p-wave $\bar{c}s$ meson are adopted. We also use our results to predict the branching ratios (BRs), polarization fractions and angular asymmetries in semileptonic $B_s\to D_s(3040)\ell \bar{\nu }(\ell =e,\mu ,\tau )$. The BRs are found to have the order of $10^{-3}$ for $\ell =e,\mu$ and $10^{-5}$ for $\ell =\tau$. We find that the polarization fractions and the angular asymmetries could be useful to pin down the ambiguities of the quantum numbers for $D_s(3040)$. In addition, we investigate the nonleptonic $B_s\to D_s(3040)M$ decays under the factorization method, where $M$ denotes a charged pseudoscalar or a vector meson. The BRs of $B_s\to D_s(3040)\rho$ and $B_s\to D_s(3040)D_s^{\ast }$ reach the order of $10^{-3}$, while the other channels are typically smaller by 1-2 orders.

Comments: 16 pages, 6 figures