https://doi.org/10.1140/epja/s10050-024-01300-y
Regular Article - Theoretical Physics
A note on the tensor and vector exchange contributions to 
and 
reactions
1
Instituto de Física, Universidade Federal da Bahia, Campus Ondina, 40170-115, Salvador, Bahia, Brazil
2
Instituto de Física, Universidade de São Paulo, Rua do Matão, 05508-090, São Paulo, SP, Brazil
3
School of Physics, Beihang University, 102206, Beijing, China
4
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, 46071, Valencia, Spain
Received:
30
October
2023
Accepted:
13
March
2024
Published online:
27
March
2024
In this note we study the tensor and vector exchange contributions to the elastic reactions involving the pseudoscalars mesons 
, 
and 
. In the case of the tensor-exchange contributions we assume that an intermediate tensor 
is dynamically generated from the interaction of two virtual 
mesons, with the use of a pole approximation. The calculation of the two-loop amplitude is facilitated since the triangle loops can be factorized and computed separately. The results show very small contributions coming from the tensor-exchange mechanisms when compared with those from the vector-exchange processes. We compare our results for 
and 
scattering with those obtained in other works where the is considered as an ordinary 
meson. Our picture provides a smaller contribution but of similar order of magnitude for pion scattering and stabilizes the results in the case of , allowing us to make estimates for 
scattering.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
