Abstract
AbstractWe develop a model to study the $$D^0 \rightarrow K^- \pi ^+ \eta $$
D
0
→
K
-
π
+
η
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 $$K^- \pi ^+ \eta $$
K
-
π
+
η
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 $$\kappa $$
κ
($$K^*_0(700)$$
K
0
∗
(
700
)
) and the $$a_0(980)$$
a
0
(
980
)
resonances, well visible in the invariant mass distributions. We also introduce the $$\bar{K}^{*0} \eta $$
K
¯
∗
0
η
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 $$a_0(980)$$
a
0
(
980
)
to the $$\kappa $$
κ
excitation, and their strength is clearly visible in the low energy part of the $$K \pi $$
K
π
spectrum.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Cited by
16 articles.
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