Theoretical study of the $D^0\to K^{-}{\pi }^{+}\eta$ reaction

Abstract

We develop a model to study the $D^0\to K^{-}{\pi }^{+}\eta$ weak decay, starting with the color favored external emission and Cabibbo favored mode at the quark level. A less favored internal emission decay mode is also studied as a source of small corrections. Some pairs of quarks are allowed to hadronize producing two pseudoscalar mesons, which posteriorly are allowed to interact to finally provide the $K^{-}{\pi }^{+}\eta$ state. The chiral unitary approach is used to take into account the final state interaction of pairs of mesons, which has as a consequence the production of the $\kappa$ ($K_0^{\ast }(700)$) and the $a_0(980)$ resonances, very well visible in the invariant mass distributions. We also introduce the ${\bar{K}}^{\ast 0}\eta$ production in a phenomenological way and show that the $s$-wave pseudoscalar interaction together with this vector excitation mode are sufficient to provide a fair reproduction of the experimental data. The agreement with the data, in particular the relative weight of the $a_0(980)$ to the $\kappa$ excitation, provides extra support to the picture used, in which these two resonances are a consequence of the interaction of pseudoscalar mesons and not ordinary $q\bar{q}$ mesons.

arXiv comment13 pages, 13 Figures

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Cited by in corpus (5)

• Combined theoretical study of the $D^{+}\to {\pi }^{+}\eta \eta$ and $D^{+}\to {\pi }^{+}{\pi }^0\eta$ reactions
• The role of meson interactions in the $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}\eta$ decay
• The $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}$ reaction and the scalar $f_0(500)$, $f_0(980)$ and $K_0^{\ast }(700)$ resonances
• Theoretical study in the ${\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0$ and ${\bar{B}}^0\to J/\psi f_1(1285)$ decays
• The theoretical study of $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$