Abstract
We develop a model to study the D^0 rightarrow 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(700)) and the a_0(980) resonances, well visible in the invariant mass distributions. We also introduce the bar{K}^{*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 model provides the relative weight of the a_0(980) to the kappa excitation, and their strength is clearly visible in the low energy part of the K pi spectrum.
Highlights
In a different formalism as the one followed here, the rescattering with the third particle is taken into account inRefs. [15,16] and shown to be relevant in some kinematical regions
We have studied the D0 → K −π +η decay, recently measured by the Belle collaboration, and found that it provides valuable information on the scalar mesons a0(980) and κ (K0∗(700))
We find that while the K −π +η state can be produced in a primary stage, prior to any final state interaction consideration, the interaction of mesons, and the final ones, gives rise to two resonances, the κ in the final Kπ channel and the a0(980) in
Summary
In a different formalism as the one followed here, the rescattering with the third particle is taken into account in. K1(1270) resonances [28,29], much in resemblance with the two (1405) states [30,31,32,33,34] Taking this into account, predictions for the production of these two resonances were done in [35] in the decay of D0 → π + plus ρ K or K ∗π. Our study, using the chiral unitary approach, shows how the two s-wave signals are related in the theoretical scheme and comparison with the data allows a theoretical interpretation of the results, showing the value of the reaction to provide information on the meson meson interaction and indirectly on the nature of the a0(980)
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