Theoretical description of the $D^{+}\to {\bar{K}}^0{\pi }^{+}{\pi }^0{\pi }^0$ reaction

Abstract

We study the $D^{+}\to {\bar{K}}^0{\pi }^{+}{\pi }^0{\pi }^0$ reaction, which shows two clear structures: the ${\bar{K}}^{\ast 0}$ and ${\rho }^{+}$ in the ${\bar{K}}^0{\pi }^0$ and ${\pi }^{+}{\pi }^0$ mass distributions, respectively. The study is done starting from the quark level with external and internal emission and hadronizing a pair of quarks to produce a vector and two pseudoscalars. We also consider another mechanism, which does not require hadronization of quark pairs: the direct production of ${\bar{K}}^{\ast 0}$ and ${\rho }^{+}$. With the help of six unknown parameters which are fitted to the data, we are able to get a very good agreement with experimental data for the ${\bar{K}}^0{\pi }^0$ and ${\pi }^{+}{\pi }^0$ mass distributions and a qualitative one for the rest of mass distributions which do not show any particular structure experimentally.

9 pages, 7 figures