https://doi.org/10.1140/epjc/s10052-021-09058-z
Regular Article – Theoretical Physics
Theoretical study of the
reaction
1
Instituto de Física, Universidad Nacional Autónoma de México, AP 20-364, 01000, Mexico City, Mexico
2
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain
3
Department of Agricultural, Life and Environmental Sciences, Tottori University, 680-8551, Tottori, Japan
Received:
31
December
2020
Accepted:
16
March
2021
Published online:
30
March
2021
We develop a model to study the 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
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
(
) and the
resonances, well visible in the invariant mass distributions. We also introduce the
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
to the
excitation, and their strength is clearly visible in the low energy part of the
spectrum.
© The Author(s) 2021
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