Study of $B\to D^{\ast \ast }\pi$ decays

Abstract

We investigate the production of the novel $P$-wave mesons $D_0^{\ast }$ and $D_1^{\prime }(D_1)$, identified as $J^P=0^{+}$ and $1^{+}$, in heavy $B$ meson decays, respectively. With the heavy quark limit, we give our modelling wave functions for the scalar meson $D_0^{\ast }$. Based on the assumptions of color transparency and factorization theorem, we estimate the branching ratios of $B\to D_0^{\ast }\pi$ decays in terms of the obtained wave functions. Some remarks on $D_1^{(\prime )}$ productions are also presented.

16 pages, 2 figures, Revtex4, to be published in Phys. Rev. D